Incorporating environmental stochasticity within a biological population model

The birth and death transition rates for a population are modelled as functions of both the population size and the environmental condition. An assortment of important theoretical results and techniques that can be utilized to analyze such a population’s behaviour is covered. Consequently, these res...

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Bibliographic Details
Published inTheoretical population biology Vol. 74; no. 1; pp. 115 - 129
Main Authors Varughese, M.M., Fatti, L.P.
Format Journal Article
LanguageEnglish
Published United States Elsevier Inc 01.08.2008
Subjects
Birth Rate
Ecology
Environment
Environmental stochasticity
Modelling
Models, Biological
Models, Statistical
Mortality
Population
Population Dynamics
Stochastic Processes
Population
Environment
Ecology
Modelling
Stochastic processes
Environmental stochasticity
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Summary:The birth and death transition rates for a population are modelled as functions of both the population size and the environmental condition. An assortment of important theoretical results and techniques that can be utilized to analyze such a population’s behaviour is covered. Consequently, these results and techniques are used to study two examples. Firstly, we study a population with a stable equilibrium state, whose per capita birth and death rates are linearly related to the environmental condition. (The environmental condition in turn is modelled as an Ornstein–Uhlenbeck process.) Secondly, we study a population affected by two interdependent environmental factors.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0040-5809
1096-0325
DOI:10.1016/j.tpb.2008.05.004