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Permanence and periodic solutions of delayed predator-prey system with impulse

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Abstract

The existence of positive periodic solution of a generalized semi-ratio-dependent predator-prey system with time delay and impulse is studied by using the continuation theorem based on the coincidence degree theory. The permanence of the system is also considered. The results partially improve and extend some known criteria.

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Authors and Affiliations

  1. School of Mathematical Sciences, Huaiyin Normal University, Jiangsu, 223300, China

    Hong-bo Shi

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  1. Hong-bo Shi
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Correspondence to Hong-bo Shi.

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Supported by the NNSF of China (10801065).

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Shi, Hb. Permanence and periodic solutions of delayed predator-prey system with impulse. Appl. Math. J. Chin. Univ. 25, 264–276 (2010). https://doi.org/10.1007/s11766-010-2189-x

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  • DOI: https://doi.org/10.1007/s11766-010-2189-x

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