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...'N'' is the population of a prey species and ''P'' that of a predator, the population dynamics are described by the following two equations: ...n both functional responses and the importance of functional responses for population dynamics, there is no need to strongly favor one limit model over the other ...

...igmund1936">{{cite journal |last=Sigmund |first=Karl |title=Kolmogorov and population dynamics |journal=Giornale Istituto Ital. Attuari |volume=7 |pages=74–80 |y ...ast=Kingsland |first=S. |title=Modeling Nature: Episodes in the History of Population Ecology |publisher=[[University of Chicago Press|Univ. of Chicago Press]] | ...

...which are used to express probabilities of sub-populations within a larger population. ...

...y [[Anderson Gray McKendrick]] in 1926 as a deterministic limit of lattice models applied to [[epidemiology]],<ref>{{cite journal |last=McKendrick |first=A. ...- m(a)n </math>|border colour=#0073CF|background colour=#F5FFFA}}where the population density <math>n(t,a)</math> is a function of age ''<math>a</math>'' and tim ...

...pub |last1=Anderson |first1=R.M. |last2=May |first2=R.M. |year=1979 |title=Population biology of infectious diseases: Part I |journal=[[Nature (journal)|Nature]] ...

...|first=Mark|author2=Johnson, Toby |author3=Barton, Nicholas |title=General Models of Multilocus Evolution|journal=Genetics|year=2002|volume=161|issue=4|pages [[Category:Population genetics]] ...

...open jobs <math> n_\text{jobs} </math> depends on the size of the resident population <math> n </math>. The potential employment opportunity (e.g. conditions, in ...math> and touching <math>j</math> excluding the source and the destination population. The model is not static as the Gravity model, and has clear implications w ...

...11|isbn=978-3-319-56432-6}}</ref> It is also used in multi-type branching models for analogous computations.<ref>{{Cite book|last=Mode, Charles J., 1927-|ti ...the basic reproduction number by using a next-generation matrix, the whole population is divided into <math> n </math> compartments in which there are <math> m<n ...

...ators applied to datasets of size ''n'', given that the data arises from a population for which the parameter indexing the statistical model for the data is ''&t ...helps in showing that <math>Q_n(\theta)</math> converges uniformly to its population counterpart <math>Q(\theta)</math>, ensuring that the estimator <math>\hat{ ...

...neral triallelic frequency spectrum under demographic models with variable population size|journal=Genetics|date=2014|volume=196|issue=1|pages=295–311|doi=10.153 ...ST} </math>]].<ref>{{cite book|last1=Durrett|first1=Rick|title=Probability Models for DNA Sequence Evolution|year=2008|edition=2|url=http://www.math.duke.edu ...

...a [[stochastic process]] in social networks. By contrast, the microscopic models are more interested on micro-level interactions between individuals. == Rumor propagation models == ...

A '''population protocol''' is a [[distributed computing]] model formed by resource-limited ...de is a finite automaton with <math>s</math> states. An important class of population protocols are majority algorithms, where the goal is to compute the majorit ...

...speed up.<ref>{{cite journal|author= [[Charles I. Jones]]|title= R&D-based models of economic growth|journal= [[Journal of Political Economy]]|year= 1995|vol [[Category:Economics models]] ...

{{Short description|2003 book on population ecology}} | subject = [[Population ecology]] ...

...e calculation of [[heterozygosity]], or [[genetic diversity]], in a finite population and for the estimation of [[genetic distance]]s between populations of inte ...title = The Number of Heterozygous Nucleotide Sites Maintained in a Finite Population Due to Steady Flux of Mutations|journal = Genetics|date = 1969-04-01|issn = ...

...mple birth process, where birth rates are equal to the size of the current population.]] ...ates <math>\lambda_n=n\lambda</math>.{{sfnp|Norris|1997|p=82}} It models a population in which each individual gives birth repeatedly and independently at rate < ...

...''' Nicholson–Bailey model''' was developed in the 1930s to describe the [[population dynamics]] of a coupled host-[[parasitoid]] system.{{ref|reference_name_A|a The model uses (discrete time) [[difference equation]]s to describe the [[population growth]] of host-parasite populations. The model assumes that parasitoids s ...

...the ability to reproduce), this equation allows for an estimation of how a population is growing. ...population dynamics as follows. This model tracks only the females in the population. ...

...le Kermack–McKendrick theory was indeed the source of [[epidemic model|SIR models]] and their relatives, Kermack and McKendrick were thinking of a more subtl ...eory is a partial differential-equation model that structures the infected population in terms of age-of-infection, while ...

{{for-multi|the equations in population dynamics|Kolmogorov equations in population dynamics}} ...n(t)=\Pr(N(t)=n)</math>, i.e. the [[probability]] of achieving a certain [[population size]]. ...