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Zbl 1231.35096
Chen, Shanshan; Shi, Junping; Wei, Junjie
A note on Hopf bifurcations in a delayed diffusive Lotka-Volterra predator-prey system. (English)
[J] Comput. Math. Appl. 62, No. 5, 2240-2245 (2011). ISSN 0898-1221

Summary: The diffusive Lotka-Volterra predator-prey system with two delays is reconsidered here. The stability of the coexistence equilibrium and associated Hopf bifurcation are investigated by analyzing the characteristic equations, and our results complement earlier ones. We also obtain that in a special case, a Hopf bifurcation of spatial inhomogeneous periodic solutions occurs in the system.

MSC 2000:: *35K51
35Q92
37N25 Dynamical systems in biology
92D25 Population dynamics
35B10 Periodic solutions of PDE
35B32 Bifurcation (PDE)
35B35 Stability of solutions of PDE
35K91

Keywords: predator-prey model; reaction-diffusion; Lotka-Volterra; delay; stability; Hopf bifurcation

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