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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 3, Pages 650–659
(Mi smj1203)
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This article is cited in 9 scientific papers (total in 9 papers)
A discrete-continuous model for a bisexual population dynamics
L. V. Nedorezova, Yu. V. Utyupinb a 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.
Citation:
L. V. Nedorezov, Yu. V. Utyupin, “A discrete-continuous model for a bisexual population dynamics”, Sibirsk. Mat. Zh., 44:3 (2003), 650–659; Siberian Math. J., 44:3 (2003), 511–518
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https://www.mathnet.ru/eng/smj1203 https://www.mathnet.ru/eng/smj/v44/i3/p650
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Abstract page: | 605 | Full-text PDF : | 184 | References: | 44 |
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