Xiaolei Yu, Fuqin Sun
Abstract:
In this article, a general predator-prey model incorporating
a constant prey refuge with Hassell-Varley type functional response
is studied. Sufficient conditions for the stability of the equilibria
are obtained. It is shown that the positive equilibrium exists if
predator death rate multiplied by a constants is smaller than its
growth rate multiplied by capturing rate. Moreover, by constructing
a Lyapunov function, it is shown that the positive equilibrium is
globally stable.
Submitted May 8, 2012. Published January 7, 2013.
Math Subject Classifications: 34D05, 34D20, 92D25.
Key Words: Predator-prey model; prey refuge; global stability.
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Xiaolei Yu School of Science Tianjin University of Technology and Education Tianjin 300222, China email: 13752383154@126.com, yuxioalei12@126.com | |
Fuqin Sun School of Science Tianjin University of Technology and Education Tianjin 300222, China email: sfqwell@163.com |
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