%0 Journal Article
%T Dynamics of Heterogeneous Populations and Communities and Evolution of Distributions
%A Georgy P. Karev
%J Quantitative Biology
%D 2005
%I arXiv
%X 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.
%U http://arxiv.org/abs/q-bio/0507028v1