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Dynamical analysis of an impulsive stochastic infected predator-prey system with BD functional response and modified saturated incidence

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Abstract

This paper formulates and explores a nonautonomous impulsive stochastic predator-prey system with Beddington-DeAngelis (BD) functional response, where only the prey has a disease, which incorporates modified saturated incidence. The sufficient criteria of extinction and non-persistence in the mean of the target model are established, revealing that different intensities of stochastic perturbations contribute to dynamics of the system mentioned above. Stochastically ultimate boundedness is examined, and we further establish sufficient conditions for global attractivity. Our analytical findings are verified through numerical simulations.

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Acknowledgements

The work was partially supported by the National Natural Science Foundation of China (No. 11901059), Natural Science Foundation of Hubei province, China (No. 2019CFB353).

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  1. School of Information and Mathematics, Yangtze University, Jingzhou, 434023, People’s Republic of China

    Hongrui Wei, Xianping He & Yong Li

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  1. Hongrui Wei
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Correspondence to Yong Li.

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Wei, H., He, X. & Li, Y. Dynamical analysis of an impulsive stochastic infected predator-prey system with BD functional response and modified saturated incidence. J. Appl. Math. Comput. 68, 4075–4098 (2022). https://doi.org/10.1007/s12190-021-01678-8

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