A discrete-continuous model for a bisexual population dynamics

Publication Type

Journal Article

Journal Name

Siberian Mathematical Journal

Publication Date

5-1-2003

Abstract

We consider a parametric model for the dynamics of an isolated population with sex structure which is realized as a system of ordinary differential equations with impulses. The birth rate in the population in this model is assumed to be of a discrete character and the appearance of new generation specimens occurs at fixed moments, while the death rate is of a continuous character. We examine dynamical regimes of the model; in particular, we show that cyclic and chaotic regimes may occur for some values of parameters.

Keywords

ODE with impulses, Population dynamics model

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