Spatiotemporal Dynamics Induced by Nonlocal Competition in a Diffusion Predator-Prey System with Habitat Complexity
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Abstract In this paper, we study a delayed diffusive predator-prey model with nonlocal competition in prey and habitat complexity. The local stability of coexisting equilibrium are studied by analyzing the eigenvalue spectrum. Time delay inducing Hopf bifurcation is investigated by using time delay as bifurcation parameter. We give some conditions for determining the bifurcation direction and the stability of the bifurcating periodic solution by utilizing the normal form method and center manifold theorem. Our results suggest that only nonlocal competition and diffusion together can induce stably spatial inhomogeneous bifurcating periodic solutions.
2009 ◽
Vol 02
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pp. 139-149
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2014 ◽
Vol 24
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pp. 1450043
2018 ◽
Vol 28
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pp. 1850179
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2015 ◽
Vol 25
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pp. 1540015
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2013 ◽
Vol 23
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pp. 1350194