Abstract and Applied Analysis

Stability and Dynamical Analysis of a Biological System

Xinhong Pan, Min Zhao, Yapei Wang, Hengguo Yu, Zengling Ma, and Qi Wang

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 952840, 11 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412605832

Digital Object Identifier
doi:10.1155/2014/952840

Mathematical Reviews number (MathSciNet)
MR3246369

Zentralblatt MATH identifier
07023384

Citation

Pan, Xinhong; Zhao, Min; Wang, Yapei; Yu, Hengguo; Ma, Zengling; Wang, Qi. Stability and Dynamical Analysis of a Biological System. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 952840, 11 pages. doi:10.1155/2014/952840. https://projecteuclid.org/euclid.aaa/1412605832


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