Study on delays predator-prey model with predator diffusion

ZHENG Xiuliang1, CAO Yanyan2, LI Bo1

1. 1.College of Science, Hebei North University, Zhangjiakou, Hebei 075000, China
2.College of Information Science and Engineering, Hebei North University, Zhangjiakou, Hebei 075000, China
• Online:2015-09-15 Published:2015-10-13

基于捕食者间扩散项的多时滞捕食模型研究

1. 1.河北北方学院 理学院，河北 张家口 075000
2.河北北方学院 信息科学与工程学院，河北 张家口 075000

Abstract: A delays non-autonomous predator-prey model with predator diffusion is studied. By using comparison theorem of the differential equation, it is proven that the system is permanent; furthermore, by constructing a suitable Lyapunov function, the sufficient conditions which guarantee the existence of a unique global attractive positive almost periodic solution of the system are obtained; the feasibility of theoretical analysis is verified by using software of matlab examples of numerical simulation.