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Dynamics of a population-hibernation model with genic mutation and impulsive effects in a polluted environment

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Abstract

In this work, we consider a single population-hibernation model with genic mutation, birth pulse and impulsive input toxin in a polluted environment. By the theories of discrete dynamical system and the methods of mathematical analysis, the population-extinction periodic solution \((0,0,c_{o}(t),c_{e}(t))\) of system (2.1) is proved to be globally asymptotically stable. System (2.1) is proved to be permanent. Our results indicate that the genic mutational rate and the amount of the impulsive inputting toxin play important roles on the permanence of system (2.1). Our results also provide reliable tactics for biological resource management.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550004, People’s Republic of China

    Jianjun Jiao

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  1. Jianjun Jiao
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Correspondence to Jianjun Jiao.

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Supported by National Natural Science Foundation of China (11761019, 11361014), the Science Technology Foundation of Guizhou Education Department (20175736-001, 2008038), the Project of High Level Creative Talents in Guizhou Province (No. 20164035), Major Research Projects on Innovative Groups in Guizhou Provincial Education Department (No. [2018]019).

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Jiao, J. Dynamics of a population-hibernation model with genic mutation and impulsive effects in a polluted environment. Wireless Netw 27, 4441–4449 (2021). https://doi.org/10.1007/s11276-021-02661-8

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  • DOI: https://doi.org/10.1007/s11276-021-02661-8

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