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- W2367701242 abstract "In this paper,the dynamics of a delayed predator-prey model with ratio-dependent type functional response are considered.We show that the asymptotic behavior depends crucially on the time delay parameter.We are particularly interested in the study of the Hopf bifurcation problem to predict the occurrence of a limit cycle bifurcating from the positive equilibrium.By choosing the the delay as a bifurcation parameter,the length of delay which preserves the stability of the positive equilibrium is calculated(i.e.,0ττ+).Some numerical simulation for justifying the analytical findings is also provided.Main conclusions are as follows: the positive equilibrium of the system is asymptotically stable for τ∈[0,τ0).The system undergoes a Hopf bifurcation at the positive equilibrium when τ=τjk,k=1,2,3,4;j=0,1,2,…,and the length of delay is τ+." @default.
- W2367701242 created "2016-06-24" @default.
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- W2367701242 date "2011-01-01" @default.
- W2367701242 modified "2023-09-26" @default.
- W2367701242 title "Bifurcations in a Delayed Predator-prey Model" @default.
- W2367701242 hasPublicationYear "2011" @default.
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