2017-Suebcharoen, T. - Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator.

By T. Suebchareon

Chiang Mai University, Chiang Mai THAILAND

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Abstract

Suebcharoen, T. 2017. Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator. International Journal of Differential Equations. Volume 2017, Article ID 2653124, 11 pages.

See https://projecteuclid.org/journals/international-journal-of-differential-equations/volume-2017/issue-none/Analysis-of-a-Predator-Prey-Model-with-Switching-and-Stage/10.1155/2017/2653124.short .

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract: This paper studies the behavior of a predator-prey model with switching and stage-structure for predator. Bounded positive solution, equilibria, and stabilities are determined for the system of delay differential equation. By choosing the delay as a bifurcation parameter, it is shown that the positive equilibrium can be destabilized through a Hopf bifurcation. Some numerical simulations are also given to illustrate our results.

Keywords:  predator, prey, differential equation, model, stage structure, switching, bifurcation, stability.

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Researchers should cite this work as follows:

  • T. Suebchareon (2018), "2017-Suebcharoen, T. - Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator.," https://www.simiode.org/resources/4466.

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