Dynamics of Heterogeneous Populations and Communities and Evolution of Distributions

Georgy P. Karev

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arXiv · q-bio/0507028

Dynamics of Heterogeneous Populations and Communities and Evolution of Distributions

Georgy P. Karev

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Abstract

Most population models assume that individuals within a given population are identical, that is, the fundamental role of variation is ignored. Inhomogeneous models of populations and communities allow for birth and death rates to vary among individuals; recently, theorems of existence and asymptotic of solutions of such models were investigated. Here we develop another approach to modeling heterogeneous populations by reducing the model to the Cauchy problem for a special system of ODEs. As a result, the total population size and current distribution of the vector-parameter can be found in explicit analytical form or computed effectively. The developed approach is extended to the models of inhomogeneous communities.

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Georgy P. Karev. 2005-07-18. Dynamics of Heterogeneous Populations and Communities and Evolution of Distributions. https://arxiv.org/abs/q-bio/0507028

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