A Single Species Model with Symmetric Bidirectional Impulsive Diffusion and Dispersal Delay

DOI: 10.4236/am.2012.39159   PDF   HTML     3,250 Downloads   5,088 Views   Citations


In the natural ecosystem, impulsive diffusion provides a more natural description for population dynamics. In addition, dispersal processes often involve with time delay. In view of these facts, a single species model with impulsive diffusion and dispersal delay is formulated. By the stroboscopic map of the discrete dynamical system and other analysis methods, the permanence of the system is investigated. Moreover, sufficient conditions on the existence and uniqueness of a positive periodic solution for the system are derived from the intermediate value theorem. We also demonstrate the global stability of the positive periodic solution by the theory of discrete dynamical system. Finally, numerical simulations and discussion are presented to validate our theoretical results.

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H. Wan, L. Zhang and H. Li, "A Single Species Model with Symmetric Bidirectional Impulsive Diffusion and Dispersal Delay," Applied Mathematics, Vol. 3 No. 9, 2012, pp. 1079-1088. doi: 10.4236/am.2012.39159.

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The authors declare no conflicts of interest.


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