Analysis of nonautonomous predator-prey model with nonlinear diffusion and time delay

作者：Zhou Xueyong^*; Shi Xiangyun; Song Xinyu

来源：Applied Mathematics and Computation, 2008, 196(1): 129-136.

DOI：10.1016/j.amc.2007.05.041

• nonautonomous predator-prey model
• nonlinear diffusion
• time delay
• uniformly persistent
• global stability

In this paper, a nonautonomous predator-prey model with nonlinear diffusion and time delay due to gestation is investigated, where all parameters are time dependent. It is proved that the system is uniformly persistent under appropriate conditions. Sufficient conditions are derived for the global stability of the system by constructing a suitable Lyapunov functional.

• 出版日期2008-2-15
• 单位信阳师范学院