Dynamics in a Rosenzweig-Macarthur predator-prey system with quiescence

Jinfeng  Wang; Hongxia  Fan

doi:10.3934/dcdsb.2016.21.909

Article Contents

2016, Volume 21, Issue 3: 909-918. Doi: 10.3934/dcdsb.2016.21.909

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Dynamics in a Rosenzweig-Macarthur predator-prey system with quiescence

Jinfeng Wang^1, and
Hongxia Fan^2,

1.
School of Mathematical Sciences, Harbin Normal University, Harbin, Heilongjiang, 150025
2.
Department of Basic Science, Harbin University of Commerce, Harbin, Heilongjiang, 150001

Received: June 30, 2015

Revised: August 31, 2015

Published: April 2016

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Abstract

A system of four coupled ordinary differential equations is considered, which are coupled through migration of both prey and predator model with logistic type growth. Combined effect of quiescence provides a more realistic way of modeling the complex dynamical behavior. The global stability and Hopf bifurcation solutions are investigated.

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Mathematics Subject Classification: Primary: 34D20; Secondary: 37G15.

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