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Dynamics of Heterogeneous Populations and Communities and Evolution of Distributions | | Georgy P. Karev
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18 Jul 2005 | | Subject: | Populations and Evolution; Other | q-bio.PE q-bio.OT | | 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. | | Source: | arXiv, q-bio.PE/0507028 | | Services: | Forum | Review | PDF | Favorites | |
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