Nellysbornik0107.DVI


Mathematical Problems of Computer Science 29, 2007, 58{65.

Stability and Oscillations in Spatially-extended

M odels of P opulation I nter action

N e lli A . A ja b ya n

Institue for Informatics and Automation Problems of NAS of RA

e-mail: najabyan@ipia.sci.am

Abstract

Conditions for species coexistence in a simple patch-occupancy metapopulation
model are derived. The model is described by a system of ordinary di®erential equa-
tions. The ecological stability of the community is interpreted in terms of conservation
of species composition in the model. The limits for the stability are related to the
boundness of the model solutions in phase space. Analytical results show that there
are regions in the parameter space where the species coexistence can occur depending
on characteristics of competing species interaction and structure of the links connecting
isolated patches.

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