Dynamics of a Population-Hibernation Model with Genic Mutation and Impulsive Effects in a Polluted Environment (original) (raw)

Abstract

In this work, we present a population-hibernation system with genic mutation and impulsive effects in a polluted environment. The \((0,0,\widetilde{c_{o}},\widetilde{c_{e}})\) of (1) is globally asymptotically stable. (1) is also proved to be permanent.

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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Authors and Affiliations

  1. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550025, People’s Republic of China
    Jianjun Jiao

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Correspondence toJianjun Jiao .

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Editors and Affiliations

  1. Embry-Riddle Aeronautical University, Daytona Beach, FL, USA
    Houbing Song
  2. School of Astronautics and Aeronautic, UESTC, Chengdu, China
    Dingde Jiang

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Jiao, J. (2021). Dynamics of a Population-Hibernation Model with Genic Mutation and Impulsive Effects in a Polluted Environment. In: Song, H., Jiang, D. (eds) Simulation Tools and Techniques. SIMUtools 2020. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 370. Springer, Cham. https://doi.org/10.1007/978-3-030-72795-6\_5

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