This article is cited in 11 papers

A discrete-continuous model for a bisexual population dynamics

L. V. Nedorezov^a, Yu. V. Utyupin<sup>b

a</sup> International Center of Insect Physiology and Ecology
^b Polytechnic Institute (branch of the YSU in the c. Mirniy)

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.

UDC: 517.958

 English version: Siberian Mathematical Journal, 2003, 44:3, 511–518

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