Spatiotemporal pattern formation of Beddington-DeAngelis-type predator-prey model
作者： Weiming Wang , Lei Zhang , Yakui Xue , Zhen Jin
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摘要: In this paper, we investigate the emergence of a predator-prey model with Beddington-DeAngelis-type functional response and reaction-diffusion. We derive conditions for Hopf Turing bifurcation on spatial domain. Based stability analysis, give pattern formation via numerical simulation, i.e., evolution process near coexistence equilibrium point. find that consider, pure instability gives birth to spotted pattern, spiral wave both stripe-like pattern. Our results show reaction-diffusion is an appropriate tool investigating fundamental mechanism complex spatiotemporal dynamics. It will be useful studying dynamic complexity ecosystems.
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harvard.edu参考文章(62)
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