Pattern formation of a predator-prey system with Ivlev-type functional response
作者： Weiming Wang , Lei Zhang , Hailing Wang , Zhenqing Li
DOI: 10.1016/J.ECOLMODEL.2009.09.011
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摘要: Abstract In this paper, we investigate the spatial pattern formation of a predator–prey system with prey-dependent functional response Ivlev-type and reaction-diffusion. The Hopf bifurcation model is discussed, sufficient conditions for Turing instability zero-flux boundary are obtained. Based on this, perform spiral chaotic patterns via numerical simulation, i.e., evolution process initial which was small amplitude random perturbation around steady state. For sake learning further, three categories unsymmetric condition, find that these special can emerge not only but also target so on, effect less more iterations does decay forever. This indicates type system, formations do depend conditions, while predator-dependent they not.
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