PREDATOR-PREY SYSTEM WITH STAGE STRUCTURE AND DELAY  

作　　者：Ye Kaili Song XinyuDept. of Math.,Xinyang Teachers College,Henan 464000, China. 

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2003年第2期143-150,共8页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China(1 0 1 71 1 0 6 ) and Natural Science Foun-dation of Henan Province(0 2 1 1 0 1 0 4 0 0)

摘　　要：A system of retarded functional differential equations is proposed as a predator-prey model with stage structure in the prey.The invariance of non-negativity,nature of boundary equilibria and global stability are analyzed.It is shown that in this model the time delay can make a stable equilibrium become unstable and even a switching of stabilities.A system of retarded functional differential equations is proposed as a predator-prey model with stage structure in the prey.The invariance of non-negativity,nature of boundary equilibria and global stability are analyzed.It is shown that in this model the time delay can make a stable equilibrium become unstable and even a switching of stabilities.

关 键 词：stage structure predator-prey system global stability Hopf bifurcation. 

分 类 号：O175[理学—数学]