Diffusion has no influence on the global asymptotical stability of the Lotka-Volterra prey-predator model incorporating a constant number of prey refuges

作者：Yang, Wensheng^*

来源：Applied Mathematics and Computation, 2013, 223: 278-280.

DOI：10.1016/j.amc.2013.08.020

• Positive equilibrium
• Diffusion
• Prey refuge
• Global asymptotical stability

By constructing a suitable Lyapunov function, we obtain the global asymptotical stability of the Lotka-Volterra prey-predator model incorporating a constant number of prey refuges and diffusion. It is shown that diffusion has no influence on the global asymptotical stability of the system with homogeneous Neumann boundary condition.

• 出版日期2013-10-15
• 单位福建师范大学