Dynamics of Heterogeneous Populations and Communities and Evolution of Distributions

dc.creatorKarev, Georgy P.
dc.date2005-07-18
dc.date.accessioned2026-07-07T05:59:23Z
dc.date.available2026-07-07T05:59:23Z
dc.descriptionMost 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.
dc.description11 pages; submitted to Discrete and Continuous Dynamical Systems
dc.identifierhttps://arxiv.org/abs/q-bio/0507028
dc.identifierhttp://arxiv.org/abs/q-bio/0507028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88660
dc.subjectPopulations and Evolution
dc.subjectOther Quantitative Biology
dc.titleDynamics of Heterogeneous Populations and Communities and Evolution of Distributions
dc.typetext

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