Pattern Formation in a Diffusive Ratio-Dependent Holling-Tanner Predator-Prey Model with Smith Growth

Bo Yang

Discrete Dynamics in Nature and Society, 2013, vol. 2013, 1-8

Abstract:

The spatiotemporal dynamics of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth subject to zero-flux boundary condition are investigated analytically and numerically. The asymptotic stability of the positive equilibrium and the existence of Hopf bifurcation around the positive equilibrium are shown; the conditions of Turing instability are obtained. And with the help of numerical simulations, it is found that the model exhibits complex pattern replication: stripes, spots-stripes mixtures, and spots Turing patterns.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:454209

DOI: 10.1155/2013/454209

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