Bifurcation Analysis Of A Delayed Predator-Prey Fishery Model With Prey Reserve In Frequency Domain

Changjin Xu
2011 Zenodo  
In this paper, applying frequency domain approach, a delayed predator-prey fishery model with prey reserve is investigated. By choosing the delay τ as a bifurcation parameter, It is found that Hopf bifurcation occurs as the bifurcation parameter τ passes a sequence of critical values. That is, a family of periodic solutions bifurcate from the equilibrium when the bifurcation parameter exceeds a critical value. The length of delay which preserves the stability of the positive equilibrium is
more » ... lated. Some numerical simulations are included to justify the theoretical analysis results. Finally, main conclusions are given.
doi:10.5281/zenodo.1081928 fatcat:ulytebgfbnfg5ftfwbdiaie7re