This article is cited in 1 paper

Mathematical models and computer experiment

Stochastic model of evolution on areas in population ecology

I. P. Pavlotsky, V. M. Suslin

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences

Abstract: In the present paper we propose a model of evolution of the distributions of interacting biological species. These distributions depend on the biomasses of the species and on theirs positions on areas. Evolution is determined by interaction between the species and by their tendency to occupy the favourable positions on areas. One of the models is represented by a system of the pseudodifferential equations, the other is represented by the integrodifferential equations. For the first model we propose a method of numerical calculation of the evolution of the distributions. The proposed model is a natural generalization of one proposed before by one of the authors.

UDC: 533. 70

Received: 08.10.1991

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