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Mathematics of change in size and age
Population dynamics is the type of mathematics used to model and study the size and age composition of populations as dynamical systems. Population dynamics
Population_dynamics
(PDF). www.insse.ro. INS. 29 August 2025. Retrieved 29 August 2025. "Population dynamics – month and year". www.opendata.cbs.nl. Centraal Bureau voor de Statistiek
List of countries and dependencies by population
List_of_countries_and_dependencies_by_population
Total number of living humans on Earth
One-child policy Population decline Population dynamics Population growth Two-child policy Lists: List of countries and dependencies by population List of countries
World_population
National monthly estimate "Population dynamics; month and year". opendata.cbs.nl. National estimate "Structure of the Population". www.ibz.rrn.fgov.be. National
List of European countries by population
List_of_European_countries_by_population
Modelling evolution using differential equations
from population genetics or quantitative genetics that focus on genetic change, and from population dynamics that describes change in population size
Evolutionary_dynamics
The population dynamics of pest insects is a subject of interest to farmers, agricultural economists, ecologists, and those concerned with animal welfare
Pest insect population dynamics
Pest_insect_population_dynamics
fish or aquatic population which is harvested for its commercial or recreational value. Fisheries can be wild or farmed. Population dynamics describes the
Population dynamics of fisheries
Population_dynamics_of_fisheries
Mathematical framework
In biomathematics, the Kolmogorov population model, also known as the Kolmogorov equations in population dynamics, is a mathematical framework developed
Kolmogorov_population_model
Topics referred to by the same term
social group processes especially Population dynamics, in life sciences, the changes in the composition of a population Psychodynamics, the study of psychological
Dynamics
Set of people living in a particular area or interbreeding
of a population, or involve population dynamics (the change of the size and age of a population). However, demographers use the term "population" differently
Population_(human_biology)
Smallest size a biological population can exist without facing extinction
using demographic and environmental information to project future population dynamics. The probability assigned to a PVA is arrived at after repeating
Minimum_viable_population
Haredi, Orthodox populations. Recent Jewish population dynamics are characterized by a continued steady increase in the Israeli population and flat or declining
Jewish_population_by_country
Species of fish
existing populations or introduced into waters naturally devoid of the species, sometimes reducing the overall genetic distinctiveness of populations. The
Walleye
Soviet republic from 1936 to 1991
and Cossacks in the region and from 1920 to 1922, Kazakhstan's Russian population dropped from approximately 2.7 to 2.2 million. A further 15,000 Cossack
Kazakh Soviet Socialist Republic
Kazakh_Soviet_Socialist_Republic
Biological interaction
predator-prey population dynamics. The presence of refuge areas, where prey are safe from predators, may enable prey to maintain larger populations but may
Predation
Study of non-linear complex systems
System dynamics (SD) is an approach to understanding the nonlinear behaviour of complex systems over time using stocks, flows, internal feedback loops
System_dynamics
Biological study of animal populations
the sense of applying mathematical models to population genetics, community ecology, and population dynamics. Alan Hastings used the term in 1997 as the
Population_biology
Ecosystem event
primary consumer population. In turn, the primary producer population thrives. The removal of the top predator can alter the food web dynamics. In this case
Trophic_cascade
World population milestones went unnoticed until the 20th century, since there was no reliable data on global population dynamics. The population of the
World_population_milestones
Human dynamics refer to a branch of complex systems research in statistical physics such as the movement of crowds and queues and other systems of complex
Human_dynamics
Study of what affects viral life spans
focused on transmission dynamics in an effort to shed light on how these dynamics impact viral genetic variation. Transmission dynamics can be considered at
Viral_phylodynamics
Field of ecology
Population ecology is a field of ecology that deals with the dynamics of species populations and how these populations interact with the environment, such
Population_ecology
Species of crustacean
for nutrition. Studies on the population dynamics of Kiwa hirsuta are ongoing to understand factors such as population size, growth rates, and potential
Kiwa_hirsuta
Sharp reduction in the size of a population
A population bottleneck or genetic bottleneck is a sharp reduction in the size of a population due to environmental events such as famines, earthquakes
Population_bottleneck
Metropolis in Uttar Pradesh, India
Ghaziabad district and is the largest city in Western Uttar Pradesh, with a population of 1,729,000. Ghaziabad Municipal Corporation is divided into 5 zones
Ghaziabad
Collection of random variables
stochastic processes in biology is in population dynamics. In contrast to deterministic models, which assume that populations change in predictable ways, stochastic
Stochastic_process
Species of butterfly
various other insects. The stability of the population appeared to be regulated by the population dynamics of egg the parasitoids, Trichogramma, and the
Papilio_xuthus
Method by which information is represented in the brain
MT; Foster, JD; Nuyujukian, P; Ryu, SI; Shenoy, KV (2012). "Neural population dynamics during reaching". Nature. 487 (7405): 51–56. Bibcode:2012Natur.487
Neural_coding
Russian-American scientist (born 1957)
Modeling Population Redistribution in Animals and Plants. Sinauer Associates. ISBN 978-0878938476. Turchin, Peter (2003). Complex Population Dynamics: A
Peter_Turchin
Demographic features of the population of the Soviet Union include vital statistics, ethnicity, religious affiliations, education level, health of the
Demographics of the Soviet Union
Demographics_of_the_Soviet_Union
Predator at the top of a food chain
of the Iberian lynx. Apex predators affect prey species' population dynamics and populations of other predators, both in aquatic and terrestrial ecosystems
Apex_predator
Equations modelling predator–prey cycles
to describe the dynamics of biological systems in which two species interact, one as a predator and the other as prey. The populations change through time
Lotka–Volterra_equations
Study of behavior of groups
Dynamical systems Jay Wright Forrester Group dynamics Operations research Population dynamics System dynamics Social psychology Societal collapse Sociobiology
Social_dynamics
City in Sinaloa, Mexico
Culiacán had an estimated population of 808,416, making it the 21st most populous city in Mexico. Its metropolitan area, with a population of 1,003,530, was the
Culiacán
City in Romania
city has a population of 134,309, making it the 15th most populous city in Romania. The proposed Sibiu metropolitan area has a population of 267,170.
Sibiu
equation in pattern formation Replicator dynamics in theoretical biology Verhulst equation in biological population growth von Bertalanffy model in biological
List of named differential equations
List_of_named_differential_equations
Idea about population growth and food supply
Cliodynamics Population cycle Population dynamics National Security Study Memorandum 200 - a U.S. National Security Council Study advocating population reduction
Malthusianism
S-shaped curve
application of the logistic equation is a common model of population growth (see also population dynamics), originally due to Pierre-François Verhulst in 1838
Logistic_function
Mathematical model
A population model is a type of mathematical model that is applied to the study of population dynamics. Models allow a better understanding of how complex
Population_model
Subspecies of the eastern gorilla
using imprecise census data to estimate population growth. According to computer modeling of their population dynamics in both Bwindi and the Virungas, groups
Mountain_gorilla
Group of individuals of a species, separated from other groups by in some manner
in large populations, but it can be useful in small populations that are easy to count, particularly in applied ecology. Population dynamics is the type
Population_(biology)
Subspecies of moth (gypsy moth)
the population dynamics of the moth. On the other hand, avian predation and invertebrate predation show only small effects on population dynamics. The
Lymantria_dispar_dispar
National Population Council (CONAPO) is an institution under the Ministry of Interior in charge of the analysis and research of population dynamics. The National
Demographics_of_Mexico
Predator-prey relationship
allometry of population cycles." Science 224 (June 22, 1984): 1350(3) Vucetich, JA & RO Peterson. 2004. Long-term population and predation dynamics of wolves
Wolves and moose on Isle Royale
Wolves_and_moose_on_Isle_Royale
Measurement of population size per unit area or unit volume
Idealised population List of population concern organizations Population dynamics Population decline Population growth Population genetics Population health
Population_density
Largest city and administrative center of Primorsky Krai, Russia
population density is about 1,832 people/km2. The population has risen by 30,000. Since 2013, natural growth dynamics added 727 individuals to this figure by 2015's
Vladivostok
Human losses by participating country
Europe Asia Studies, July 1994. Andreev EM; Darsky LE; Kharkova TL, Population dynamics: consequences of regular and irregular changes. in Demographic Trends
World_War_II_casualties
Modeling biology
inspectional resources. An agent-based model can be used to study the population dynamics of the bird cherry-oat aphid, Rhopalosiphum padi. The study was conducted
Agent-based_model_in_biology
Proportionality constant in some physical laws
gas mass density, P1 and P2 are the corresponding pressures. In population dynamics, kinesis is the change of the diffusion coefficient in response to
Mass_diffusivity
Birth rate minus death rate of a population
In demography and population dynamics, the rate of natural increase (RNI), also known as natural population change, is defined as the birth rate minus
Rate_of_natural_increase
Species of bacterium
akinetes assures survival even under harsher winter conditions. The population dynamics is highly dependent on lake water temperature and underwater light
Raphidiopsis_raciborskii
Species of plant
Common Mullein (Verbascum Thapsus): I. Latitudinal Differences in Population Dynamics and Timing of Reproduction". The Journal of Ecology. 72 (3): 897–912
Verbascum_thapsus
Population models are used in population ecology to model the dynamics of wildlife or human populations. Matrix algebra, in turn, is simply a form of algebraic
Matrix_population_models
Korean side dish of fermented vegetables
Changnam; Jeon, Jongin; Kim, Jeongho; Han, Hongui (2006). "Microbial population dynamics of kimchi, a fermented cabbage product". FEMS Microbiology Letters
Kimchi
Hierarchical outline list of articles related to the physical sciences
and the relationship between them. History of population dynamics – history of the Population dynamics is the branch of life sciences that studies short-term
Outline_of_physical_science
Ecological model of population distribution
Source–sink dynamics is a theoretical model used by ecologists to describe how variation in habitat quality may affect the population growth or decline
Source–sink_dynamics
Set of equations
without allowing indefinite population growth. The generalised Lotka-Volterra equations model the dynamics of the populations x 1 , x 2 , … {\displaystyle
Generalized Lotka–Volterra equation
Generalized_Lotka–Volterra_equation
Low-oxygen areas in coastal zones and lakes caused by eutrophication
exchanges of bottom water in the Texas-Louisiana shelf that might impact the dynamics within the dead zone. Anthropogenic causes include use of chemical fertilizers
Dead_zone_(ecology)
Species of lizard
help contribute to a more stable international, and (ultimately) wild, population. With Chinese crocodile lizards of different ages, there are minimal differences
Chinese_crocodile_lizard
Species of bird
JSTOR 4513859. Scheidt, SN; Hurlbert, AH (2014). "Range Expansion and Population Dynamics of an Invasive Species: The Eurasian Collared-Dove (Streptopelia
Eurasian_collared_dove
Three biological processes
discussing population dynamics, behavioral ecology, and cell biology, recruitment refers to several different biological processes. In population dynamics, recruitment
Recruitment_(biology)
Species of fly
conditions, low temperatures and harsh winters clearly interfere with population dynamics only in the northernmost areas of olive vegetation. In general, the
Olive_fruit_fly
Place in Western Region, Uganda
of 1969 enumerated the population of Kasese Town at 7,213 people. In 1980, the population census that year put the population of the town at 9,917. In
Kasese
wildlife population or species population is the concept of "population" applied to any species other than humans. Understanding a wildlife population requires
Wildlife_population
American mathematician (1880–1949)
mathematician, physical chemist, and statistician, famous for his work in population dynamics and energetics. A biophysicist, Lotka is best known for his proposal
Alfred_J._Lotka
Shower of organic detritus in the ocean
Blackwell Science Ltd. pp. 94–95, 266–267. Mann KH, Lazier JR (2006). Dynamics of Marine Ecosystems. Blackwell Publishing. p. 35. McCarthy JJ, Goldman
Marine_snow
Bronze Age archaeological culture in Central Europe
Transmissions and Transformations, Cambridge, p. 108–118 Pokutta D. 2013, Population Dynamics, Diet and Migrations of the Unetice culture in Poland, Gothernburg
Únětice_culture
Type of mathematical model used for infectious diseases
incorporate randomness, offering more realistic representations of population dynamics at the cost of greater analytical complexity. Epidemiologists and
Compartmental models (epidemiology)
Compartmental_models_(epidemiology)
Type of computational models
demonstrated by the agent population, they can combine the agent-based model with a continuum model describing population dynamics. For example, in a study
Agent-based_model
Cyclical change in a species' population
increasing. Irruptive growth Population dynamics K. G. Poole. (1994). Characteristics of an Unharvested Lynx Population during a Snowshoe Hare Decline
Population_cycle
1971 novel by Robert C. O'Brien
were inspired by the research of John B. Calhoun on mouse and rat population dynamics at the National Institute of Mental Health from the 1940s to the
Mrs. Frisby and the Rats of NIMH
Mrs._Frisby_and_the_Rats_of_NIMH
Evolutionary adaptation that leads to extinction
adaptive dynamics, in which genetic changes are studied together with population dynamics. This allows the model to predict how population density will
Evolutionary_suicide
Ligues des Droits de l'Homme. Page 1–4, Population Dynamics in Georgia (UNFPA) Page 3, footnote 4, Population Dynamics in Georgia (UNFPA) "WB Report: Georgia
Demographics of Georgia (country)
Demographics_of_Georgia_(country)
Genus of flowering plants
An ecophysiological approach of the influence of harvest on the population dynamics of the grapple plant Harpagophytum procumbens DC. The Grapple Plant
Harpagophytum
Bundesländern". Statistisches Bundesamt (in German). Retrieved 2025-06-17. "Population dynamics – month and year". www.opendata.cbs.nl. Centraal Bureau voor de Statistiek
List of first-level administrative divisions by population
List_of_first-level_administrative_divisions_by_population
Average lifetime number of children per woman
and sex selection. This is a significant consideration in world population dynamics, especially given the high level of gender imbalance in the heavily
Total_fertility_rate
Mathematical modelling of phenotypic evolution
reproducing populations. It is a branch of mathematical evolutionary theory that overlaps with evolutionary dynamics and adaptive dynamics. All three fields
Evolutionary invasion analysis
Evolutionary_invasion_analysis
2002 novel by Michael Crichton
complexity), genetic algorithms, and agent-based computing. Fields such as population dynamics and host-parasite coevolution are also at the heart of the novel
Prey_(novel)
Population dynamics concept
within population dynamics that describes random environmental events that result in variation of population size. The fluctuation of population sizes
Environmental_stochasticity
Regulation of fishing
technologies and costs by users, uncertainty, as well as the biological dynamics of fish population growth over time. According to the FAO, fisheries management
Fisheries_management
Ecology
across organizational levels and spatial scales. From a patch dynamics perspective, populations, communities, ecosystems, and landscapes may all be studied
Patch_dynamics
Type of constraint on solutions to differential equations
electrostatics, where a node of a circuit is held at a fixed voltage. In fluid dynamics, the no-slip condition for viscous fluids states that at a solid boundary
Dirichlet_boundary_condition
Maximum population size of a species that an ecosystem can support
carrying capacity on population dynamics is modelled with a logistic function. Carrying capacity is applied to the maximum population an environment can
Carrying_capacity
Type of differential equation
Fabius function, known as Rvachëv up function. Dynamics of diabetes Epidemiology Population dynamics Classical electrodynamics Functional differential
Delay_differential_equation
Exponential growth based on a constant rate
law. It is widely regarded in the field of population ecology as the first principle of population dynamics, with Malthus as the founder. The exponential
Malthusian_growth_model
Finely sliced and fermented cabbage
process has three phases, collectively sometimes referred to as population dynamics. In the first phase, anaerobic bacteria such as Klebsiella and Enterobacter
Sauerkraut
Raising or harvesting fish
Fisheries science National Fish Habitat Initiative Ocean fisheries Population dynamics of fisheries Regional Fisheries Management Organisation Sea Fish
Fishery
Current of the Pacific Ocean
and J. Tam (2005), Average circulation, seasonal cycle, and mesoscale dynamics of the Peru Current System: A modeling approach, J. Geophys. Res., 110
Humboldt_Current
Country in Southeast Europe
census 2012, p. 7. Population Dynamics 2014, p. 25. 2023 Albanian census 2024, p. 114. Population Dynamics 2014, p. 39. "Albania Population Projections 2011–2031"
Albania
Landform in Arizona and Utah, United States
this story stopped being used as an example of prey and predator population dynamics. This is important to the development of scientific studies because
Kaibab_Plateau
Environmental disaster in Canada and New England
In 1992, Northern cod populations fell to 1% of historic levels, in large part from decades of overfishing. The Canadian Federal Minister of Fisheries
Collapse of the Atlantic northwest cod fishery
Collapse_of_the_Atlantic_northwest_cod_fishery
Model of multi-species population dynamics
The competitive Lotka–Volterra equations are a simple model of the population dynamics of species competing for some common resource. They can be further
Competitive Lotka–Volterra equations
Competitive_Lotka–Volterra_equations
Concept in human demographics
atlas of Irish population change 1841–2002: A new resource for analysing national trends and local variations in Irish population dynamics". Irish Geography
Population_decline
Species of lizard
Feral populations introduced to Hong Kong and Taiwan flourish in high densities despite countermeasures in the latter territory. Their populations are also
Chinese_water_dragon
Natalia; Järvinen, Heikki; Seppä, Heikki (22 June 2015). "Human population dynamics in Europe over the Last Glacial Maximum". Proceedings of the National
Demographics_of_Europe
Species of cnidarian
1243–1254. doi:10.1093/plankt/fbw059. Malej, A.; M. Malej (1992). "Population dynamics of the jellyfish Pelagia noctiluca (Forsskal, 1775)". In Colombo
Pelagia_noctiluca
Species of crustacean
several natural or anthropogenic factors that can influence the population dynamics of this species. First, due to its reliance on muddy seafloor and
Oratosquilla_oratoria
Common name for several different ants
of Seed Predation and Seed Dispersal by Granivorous Ants on Plant Population Dynamics", PLoS ONE, 7 (8): 1–11, Bibcode:2012PLoSO...742869A, doi:10.1371/journal
Harvester_ant
Philippine government agency leading population management
Source: As a population management strategy, POPDEV integration is defined as the explicit consideration and integration of population dynamics and dimensions
Commission on Population and Development (Philippines)
Commission_on_Population_and_Development_(Philippines)
Space of all possible states that a system can take
sketch of the phase portrait may give qualitative information about the dynamics of the system, such as the limit cycle of the Van der Pol oscillator shown
Phase_space
POPULATION DYNAMICS
POPULATION DYNAMICS
Surname or Lastname
English, Irish (Ulster), Scottish, and Dutch
English, Irish (Ulster), Scottish, and Dutch : name applied either to a Scandinavian or to someone from Normandy in northern France. The Scandinavian adventurers of the Dark Ages called themselves norðmenn ‘men from the North’. Before 1066, Scandinavian settlers in England were already fairly readily absorbed, and Northman and Normann came to be used as bynames and later as personal names, even among the Saxon inhabitants. The term gained a new use from 1066 onwards, when England was settled by invaders from Normandy, who were likewise of Scandinavian origin but by now largely integrated with the native population and speaking a Romance language, retaining only their original Germanic name.French : regional name for someone from Normandy.Dutch : ethnic name for a Norwegian.Jewish (Ashkenazic) : variant of Nordman.Jewish : Americanized form of some like-sounding Ashkenazic name.Swedish : from norr ‘north’ + man ‘man’.Albert Andriessen Bradt, a settler in Rensselaerswijck on the upper Hudson River in NY, was originally from Norway and was known as de Norrman (‘the Norwegian’). The waterway south of Albany which powered his mills became known as the Normanskill (‘the Norman’s Waterway’), by which name it is still known today.
Boy/Male
Irish
From the Latin patricius “â€nobly born.â€â€ The patron saint of Ireland, it is hard to differentiate between fact and myth. What is probably true is that he was born in Britain around 373 AD and was brought to Ireland as a slave at the age of seven, possibly by Niall of the Nine Hostages (read the legend). Forced to guard sheep on the Slemish Mountains in Country Antrim for six years he had a vision urging him to convert his captors. He escaped to France where he trained as a priest before returning to Ireland where he banished the snakes (i.e. paganism) and converted the population to Christianity. Both Patrick and Padraig are very popular names in Ireland.
Girl/Female
Muslim
Population, Socialism
Girl/Female
Indian
Population, Socialism
Boy/Male
Indian
Strong, Prosperity population, A prophets name
Surname or Lastname
English (southwestern)
English (southwestern) : from Middle English hous ‘house’ (Old English hūs). In the Middle Ages the majority of the population lived in cottages or huts rather than houses, and in most cases this name probably indicates someone who had some connection with the largest and most important building in a settlement, either a religious house or simply the local manor house. In some cases it may be a status name for a householder, someone who owned his own dwelling as opposed to being a tenant, but more often it is an occupational name for a servant who worked in such a house, in particular a steward who managed one.English : respelling of Howes.Translation of German Haus.
Boy/Male
Muslim
Strong, Prosperity population, A prophets name
Boy/Male
Muslim
Strong, Prosperity population, A prophets name
Surname or Lastname
English and Scottish
English and Scottish : ethnic name for someone from Ireland, Old English Īraland. The country gets its name from the genitive case of Old English Īras ‘Irishmen’ + land ‘land’. The stem Īr- is taken from the Celtic name for Ireland, Èriu, earlier Everiu. The surname is especially common in Liverpool, England, which has a large Irish population.
Girl/Female
Arabic, Muslim
Population
Girl/Female
Arabic, Muslim
Population; Socialism; Powerful; Prosperous
Boy/Male
Irish
From the Latin patricius “â€nobly born.â€â€ The patron saint of Ireland, it is hard to differentiate between fact and myth. What is probably true is that he was born in Britain around 373 AD and was brought to Ireland as a slave at the age of seven, possibly by Niall of the Nine Hostages (read the legend). Forced to guard sheep on the Slemish Mountains in Country Antrim for six years he had a vision urging him to convert his captors. He escaped to France where he trained as a priest before returning to Ireland where he banished the snakes (i.e. paganism) and converted the population to Christianity. Both Patrick and Padraig are very popular names in Ireland.
Boy/Male
Indian
Strong, Prosperity population, A prophets name
POPULATION DYNAMICS
POPULATION DYNAMICS
Boy/Male
Muslim
The Sun. A Planet.
Boy/Male
Arabic, Muslim, Sindhi
A Wood Collector
Boy/Male
Assamese, Bengali, Celebrity, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Punjabi, Sikh, Sindhi, Tamil, Telugu, Traditional
Kindness; Clean; Pure; Talent Person; The One who is Pure
Girl/Female
English
Bright wood; bright meadow, from the white meadow.
Boy/Male
Shakespearean
Cymbeline' King of Britain.
Girl/Female
Bengali, Gujarati, Hindu, Indian
Intelligent
Boy/Male
Hindu
A king, Little Moon
Boy/Male
Indian, Telugu
Earth
Boy/Male
Arabic
Invincible
Girl/Female
Muslim
Destroyer of enemies, Star
POPULATION DYNAMICS
POPULATION DYNAMICS
POPULATION DYNAMICS
POPULATION DYNAMICS
POPULATION DYNAMICS
v. t.
To cover in copulation.
n.
The act or process of populating; multiplication of inhabitants.
n.
The act of modulating, or the state of being modulated; as, the modulation of the voice.
n.
Carnal copulation in a manner against nature; buggery.
n.
Copulation from behind.
n.
The system of Malthusian doctrines relating to population.
n.
The act of repeopling; act of furnishing with a population anew.
n.
The coming together of male and female in the act of generation; sexual union; coition.
a.
Relatively small; inconsiderable; insignificant; as, a fractional part of the population.
n.
The whole number of people, or inhabitants, in a country, or portion of a country; as, a population of ten millions.
n.
A coming together; sexual intercourse; copulation.
n.
Population; inhabitants.
n.
The act of beating or whipping.
v. t.
To people; to give a population to.
n.
The act of coupling or joining; union; conjunction.
n.
Copulation with, or coverture of, a female beast.
n.
A treatise on crime or the criminal population.
n.
The act of copulation in birds.
n.
Depopulation; destruction of population.
n.
The quality or state of being sparse; as, sparseness of population.