Hopf and steady state bifurcation analysis in a ratio-dependent predator-prey model
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- 作者：Lai Zhanga ; Jia Liub ; Malay Banerjee ; c ; malayb@iitk.ac.in" class="auth_mail" title="E-mail the corresponding author
- 关键词：Prey&ndash ; predator model ; Turing instability ; Pattern formation ; Spatiotemporal bifurcation ; Non-constant steady state
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：44
- 期：Complete
- 页码：52-73
- 全文大小：2026 K
文摘
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Spatiotemporal prey–predator model with modified Holling–Tanner formulation is considered.
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Conditions for the existence of non-constant steady states are obtained.
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Stationary Turing patterns are compared with the non-constant steady states.
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Dominant patterns with small and large diffusion rates are obtained.
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Bifurcation of spatiotemporal patterns are demonstrated with numerical results.