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Global asymptotical stability for a diffusive predator–prey system with Beddington–DeAngelis functional response and nonlocal delay

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Abstract

A diffusive predator–prey system with Beddington–DeAngelis functional response and nonlocal delay is considered in this work. Sufficient conditions for the global asymptotical stability of the unique positive equilibrium of the system are derived by constructing new recurrent sequences which are different from Duque and Lizana’s paper and using an iterative method. It is shown that our result supplements and complements one of the main results of Duque and Lizana’s paper.

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Acknowledgments

This work is supported by the Natural Science Foundation of China (11102041, 11201072), the Natural Science Foundation of Fujian Province (2012J01002, 2014J01003).

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Authors and Affiliations

  1. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, 350007, Fujian, People’s Republic of China

    Wensheng Yang & Xuepeng Li

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  1. Wensheng Yang
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  2. Xuepeng Li
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Correspondence to Wensheng Yang.

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Yang, W., Li, X. Global asymptotical stability for a diffusive predator–prey system with Beddington–DeAngelis functional response and nonlocal delay. J. Appl. Math. Comput. 50, 327–347 (2016). https://doi.org/10.1007/s12190-015-0873-y

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  • DOI: https://doi.org/10.1007/s12190-015-0873-y

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