A STAGE-STRUCTURED AND HARVESTING PREDATOR-PREY SYSTEM  

作　　者：Liujuan Chen (Ministry of Science Training,Fujian Institute of Education,Fuzhou 350001) Fengde Chen(College of Math. and Computer Science,Fuzhou University,Fuzhou 350002) 

出　　处：《Annals of Differential Equations》2011年第3期293-301,共9页微分方程年刊（英文版）

基　　金：supported by the Foundation of Fujian Education Bureau (JA08253);the Technology Innovation Platform Project of Fujian Province (2009J1007)

摘　　要：A predator-prey system with independent harvesting in either species and BeddingtonDeAngelis functional response is investigated. By analyzing characteristic equations and using an iterative technique,we obtain a set of easily verifiable sufficient conditions,which ensure the local and global stability of the nonnegative equilibria of the system. It is also shown that the time delay can cause a stable equilibrium to become unstable and even a switching of stabilities. Numerical simulations are carried out to illustrate the validity of our results.A predator-prey system with independent harvesting in either species and BeddingtonDeAngelis functional response is investigated. By analyzing characteristic equations and using an iterative technique,we obtain a set of easily verifiable sufficient conditions,which ensure the local and global stability of the nonnegative equilibria of the system. It is also shown that the time delay can cause a stable equilibrium to become unstable and even a switching of stabilities. Numerical simulations are carried out to illustrate the validity of our results.

关 键 词：predator-prey model HARVESTING STAGE-STRUCTURE uniform persistence stability switch time delay Hopf bifurcation 

分 类 号：O175[理学—数学]