Globally asymptotic stability of a predator-prey model with stage structure incorporating prey refuge  

作　　者：Fengying Wei QiuyueFu 

机构地区：[1]College of Mathematics and Computer ScienceFuzhou University, Fuzhou 350116, P. R. China

出　　处：《International Journal of Biomathematics》2016年第4期155-168,共14页生物数学学报（英文版）

摘　　要：This paper focuses on the stabilities of the equilibria to a predator-prey model with stage structure incorporating prey refuge. By analyzing the characteristic functions, we obtain that the equilibria of the model are locally stable when some suitable conditions are being satisfied. According to the comparison theorem and iteration technique, the globally asymptotic stability of the positive equilibrium is discussed. And, the sufficient conditions of the global stability to the trivial equilibrium and the boundary equilibrium are derived. The study shows that the prey refuge will enhance the density of the prey species, and it will decrease the density of predator species. Finally, some numerical simulations are carried out to show the efficiency of our main results.

关 键 词：Predator-prey model STABILITY stage structure equilibrium. 

分 类 号：Q141[生物学—生态学] N94[生物学—普通生物学]