The Dynamics of a Delayed Predator-Prey Model with Double Allee Effect

Boli Xie, Zhijun Wang, Yakui Xue and Zhenmin Zhang

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-8

Abstract:

We study the dynamics of a delayed predator-prey model with double Allee effect. For the temporal model, we showed that there exists a threshold of time delay in predator-prey interactions; when time delay is below the threshold value, the positive equilibrium is stable. However, when time delay is above the threshold value, the positive equilibrium is unstable and period solution will emerge. For the spatiotemporal model, through numerical simulations, we show that the model dynamics exhibit rich parameter space Turing structures. The obtained results show that this system has rich dynamics; these patterns show that it is useful for a delayed predator-prey model with double Allee effect to reveal the spatial dynamics in the real model.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:102597

DOI: 10.1155/2015/102597

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