Dynamics of Heterogeneous Populations and Communities and Evolution of Distributions

Details Dynamics of Heterogeneous Populations and Communities and Evolution of Distributions Dynamics of Heterogeneous Populations and Communities and Evolution of Distributions

2005-07-18

arxiv.org/abs/q-bio/0507028v1

Biology

Quantitative Biology

Populations and Evolution

11 pages; submitted to Discrete and Continuous Dynamical Systems

Scientific paper

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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