Dynamical behaviors of a diffusive predator-prey model with Beddington-DeAngelis functional response and disease in the prey  

作　　者：WenshengYang 

机构地区：[1]School of Mathematics and Computer Science, Fujian Normal University Fuzhou, Fujian 350007, P. R. China [2]Fujian Key Laboratory of Mathematical Analysis and Applications Fujian Normal University, Fuzhou, Fujian 350007, P. R. China

出　　处：《International Journal of Biomathematics》2017年第8期283-313,共31页生物数学学报（英文版）

摘　　要：The dynamical behaviors of a diffusive predator-prey model with Beddington-DeAngelis functional response and disease in the prey is considered in this work. By applying the comparison principle, linearized method, Lyapunov function and iterative method, we are able to achieve sufficient conditions of the permanence, the local stability and global stability of the boundary equilibria and the positive equilibrium, respectively. Our result complements and supplements some known ones.

关 键 词：Predator-prey model Beddington-DeAngelis functional response perma-nence iterative method global stability. 

分 类 号：G0[文化科学]