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Stability for a diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes

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Abstract

A diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes is considered. Local stability for each constant steady state is studied by analyzing the eigenvalues. Some simple and easily verifiable sufficient conditions for global stability are obtained by virtue of the stability of the related FDE and some monotonous iterative sequences. Numerical simulations and reasonable biological explanations are carried out to illustrate the main results and the justification of the model.

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Authors and Affiliations

  1. School of Mathematics, South China Normal University, Guangzhou, P.R.China, 510631

    Yanling Tian

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  1. Yanling Tian
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Correspondence to Yanling Tian.

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Research is supported by the Natural Science Foundation of China (11171120), the Doctoral Program of Higher Education of China (20094407110001) and Natural Science Foundation of Guangdong Province (10151063101000003).

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Tian, Y. Stability for a diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes. Appl Math 59, 217–240 (2014). https://doi.org/10.1007/s10492-014-0051-9

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