POSITIVE EQUILIBRIUM AND ITS STABILITY OF THE BEDDINGTON-DEANGELIS'TYPE PREDATOR-PREY DYNAMICAL SYSTEM  

作　　者：Xiao Haibin Department of Mathematics, Ningbo University, Zhejiang 315211,China Department of Mathematics, Nanjing University, Jiangsu 210093,China. 

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2006年第4期429-436,共8页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the NNSF of China( 10171044) the Foundation for University Key Teachers of the Ministry of Education of China .

摘　　要：A class of Beddington-DeAngelis＇ type predator-prey dynamic system with prey and predator both having linear density restriction is considered. By using the qualitative methods of ODE, the existence and uniqueness of positive equilibrium and its global asymptotic stability are analyzed. The direct criterions for local stability of positive equilibrium and existence of limit cycle are also established when inference parameter of predator is small.A class of Beddington-DeAngelis＇ type predator-prey dynamic system with prey and predator both having linear density restriction is considered. By using the qualitative methods of ODE, the existence and uniqueness of positive equilibrium and its global asymptotic stability are analyzed. The direct criterions for local stability of positive equilibrium and existence of limit cycle are also established when inference parameter of predator is small.

关 键 词：density restriction Beddington-DeAngelis＇ type functional response global stability limit cycle. 

分 类 号：O175[理学—数学]