TY - JOUR
T1 - Global Asymptotic Behavior of a Predator-prey Diffusion System with Beddington-DeAngelis Function Response
AU - Meng , Yijie
AU - Xiao , Shiwu
JO - Journal of Partial Differential Equations
VL - 2
SP - 125
EP - 135
PY - 2014
DA - 2014/06
SN - 27
DO - http://doi.org/10.4208/jpde.v27.n2.3
UR - https://global-sci.org/intro/article_detail/jpde/5130.html
KW - Predator-prey diffusion system
KW - asymptotic behavior
KW - Beddington-DeAngelis function
AB -  In this paper, we study a class of reaction-diffusion systemswith Beddington-DeAngelis function response. The global asymptotic convergence is established by using the comparison principle and the method of monotone iterations, which is via successive improvement of upper-lower solutions function.