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A Discrete-Continuous Model for a Bisexual Population Dynamics

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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.

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Authors and Affiliations

  1. International Center of Insect Physiology and Ecology, Nairoby, Kenia

    L. V. Nedorezov

  2. Mirnyi Branch of Yakutsk State University, Kenia

    Yu. V. Utyupin

Authors
  1. L. V. Nedorezov
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  2. Yu. V. Utyupin
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Nedorezov, L.V., Utyupin, Y.V. A Discrete-Continuous Model for a Bisexual Population Dynamics. Siberian Mathematical Journal 44, 511–518 (2003). https://doi.org/10.1023/A:1023821016511

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  • DOI: https://doi.org/10.1023/A:1023821016511

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