A note on Hopf bifurcations in a delayed diffusive Lotka‐Volterra predator‐prey system

A note on Hopf bifurcations in a delayed diffusive Lotka‐Volterra predator‐prey system

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Article ID: iaor20118855
Volume: 62
Issue: 5
Start Page Number: 2240
End Page Number: 2245
Publication Date: Sep 2011
Journal: Computers and Mathematics with Applications
Authors: , ,
Keywords: game theory, simulation
Abstract:

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.

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