Global asymptotic stability of positive steady states of a diffusive ratio-dependent prey-predator model

作者：Wang Mingxin^*; Pang Peter Y H

来源：Applied Mathematics Letters, 2008, 21(11): 1215-1220.

DOI：10.1016/j.aml.2007.10.026

• Predator-prey model
• Ratio-dependent response function
• Global asymptotic stability
• Iteration method

In this work, We Study a ratio-dependent prey-predator model with diffusion and homogeneous Neumann boundary condition. We prove that the unique Positive constant steady state is locally and uniformly stable, and is globally asymptotically stable under some assumptions. The proof uses the iteration method.

• 出版日期2008-11
• 单位东南大学