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2017 Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator
T. Suebcharoen
Int. J. Differ. Equ. 2017: 1-11 (2017). DOI: 10.1155/2017/2653124

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.

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T. Suebcharoen. "Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator." Int. J. Differ. Equ. 2017 1 - 11, 2017. https://doi.org/10.1155/2017/2653124

Information

Received: 8 June 2017; Accepted: 22 August 2017; Published: 2017
First available in Project Euclid: 11 October 2017

zbMATH: 06915931
MathSciNet: MR3709601
Digital Object Identifier: 10.1155/2017/2653124

Rights: Copyright © 2017 Hindawi

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