Department of Mathematics
China University of Petroleum
Qingdao 266580, China
email: liyan@upc.edu.cn
Yan Li
Abstract:
In this article, we study a diffusive prey-predator model with modified
Leslie-Gower term and Michaelis-Menten type prey harvesting, subject to
homogeneous Dirichlet boundary conditions.
Treating the prey harvesting parameter as a bifurcation parameter,
we obtain the existence, bifurcation and stability of coexistence steady state
solutions. We use the method of upper and lower solutions, degree theory
in cones, and bifurcation theory. The conclusions show the importance of
prey harvesting in the model.
Submitted March 10, 2016. Published July 28, 2016.
Math Subject Classifications: 35J25, 35B09, 92B05.
Key Words: Michaelis-Menten type prey harvesting;
coexistence solutions; upper and lower solutions method;
degree theory; bifurcation theory.
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Yan Li Department of Mathematics China University of Petroleum Qingdao 266580, China email: liyan@upc.edu.cn |
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