Abstract
A model with time delay is considered for a predator-prey system. Here, a single species disperses between n patches of a heterogeneous environment with barriers between patches while a predator does not involve a barrier between patches. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are established for the global asymptotic stability of the positive equilibrium of the system.
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Qiu, L., Mitsui, T. Predator-prey dynamics with delay when prey dispersing inn-patch environment. Japan J. Indust. Appl. Math. 20, 37 (2003). https://doi.org/10.1007/BF03167461
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DOI: https://doi.org/10.1007/BF03167461