Open Access
2014 Stability and Dynamical Analysis of a Biological System
Xinhong Pan, Min Zhao, Yapei Wang, Hengguo Yu, Zengling Ma, Qi Wang
Abstr. Appl. Anal. 2014(SI37): 1-11 (2014). DOI: 10.1155/2014/952840


This study considers the spatiotemporal dynamics of a reaction-diffusion phytoplankton-zooplankton system with a double Allee effect on prey under a homogeneous boundary condition. The qualitative properties are analyzed, including the local stability of all equilibria and the global asymptotic property of the unique positive equilibrium. We also discuss the Hopf bifurcation and the steady state bifurcation of the system. These results are expected to help understand the complexity of the Allee effect and the interaction between phytoplankton and zooplankton.


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Xinhong Pan. Min Zhao. Yapei Wang. Hengguo Yu. Zengling Ma. Qi Wang. "Stability and Dynamical Analysis of a Biological System." Abstr. Appl. Anal. 2014 (SI37) 1 - 11, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07023384
MathSciNet: MR3246369
Digital Object Identifier: 10.1155/2014/952840

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI37 • 2014
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