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The Global Stability of a Delayed Reaction-Diffusion Predator-Prey Model

Yu Jiang, Huiming Wei, Xiaoli Zhang
2018 Proceedings of the 2018 2nd International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2018)   unpublished

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In this article, a delayed reaction-diffusion predator-prey model with stage structure is investigated. The global stability of the coexistence states is discussed by the linearization method and the method of upper and lower solutions. Sufficient conditions of the global attractivity of nonnegative constant equilibrium of the system are obtained. Our results show that the free diffusion of the delayed reactiondiffusion system has no influence on the populations. Finally, numerical simulations
more » ... re carried out to illustrate the main results. Keywords-reaction-diffusion; time delay; the method of upper and lower solutions; global stability (2.1) We shall have the following theorem:
doi:10.2991/ammsa-18.2018.45 fatcat:34nfyqqakbbg5ex532zmzefqqi
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Yu Jiang, Huiming Wei, Xiaoli Zhang. "The Global Stability of a Delayed Reaction-Diffusion Predator-Prey Model." Proceedings of the 2018 2nd International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2018) (2018)