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Dynamics of a Single Population Model with Non-transient/Transient Impulsive Harvesting and Birth Pulse in a Polluted Environment

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Simulation Tools and Techniques (SIMUtools 2020)

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Abstract

In this paper, we present a single population model with non-transient/transient impulsive harvesting and birth pulse in a polluted environment. The sufficient conditions for system permanence is presented.

Supported by National Natural Science Foundation of China (11761019, 11361014).

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References

  1. Lakshmikantham, V.: Theory of Impulsive Differential Equations. World Scientific, Singapore (1989)

    Book  Google Scholar 

  2. Jiao, J., et al.: An appropriate pest management SI model with biological and chemical control concern. Appl. Math. Comput. 196, 285–293 (2008)

    MathSciNet  MATH  Google Scholar 

  3. Jiao, J., Cai, S., Chen, L.: Analysis of a stage-structured predator-prey system with birth pulse and impulsive harvesting at different moments. Nonlinear Anal. Real World Appl. 12, 2232–2244 (2011)

    Article  MathSciNet  Google Scholar 

  4. Chen, L., Meng, X., Jiao, J.: Biological Dynamics. Scientific Press, Beijing (2009)

    Google Scholar 

  5. Clack, C.W.: Mathematical Bioeconomics: The Optimal Management of Renewable Resources. Wiley, New York (1976)

    Google Scholar 

  6. Zhang, B.G.: Population’s Ecological Mathematics Modeling. Publishing of Qingdao Marine University, Qingdao (1990)

    Google Scholar 

  7. Hallam, T.G., Clark, C.E., Lassider, R.R.: Effects of toxicant on population: a qualitative approach I. Equilibrium environmental exposure. Ecol. Modell. 18, 291–340 (1983)

    Article  Google Scholar 

  8. Liu, B., Chen, L.S., Zhang, Y.J.: The effects of impulsive toxicant input on a population in a polluted environment. J. Biol. Syst. 11, 265–287 (2003)

    Article  Google Scholar 

  9. Jiao, J.J., et al.: Dynamics of a periodic switched predator-prey system with impulsive harvesting and hibernation of prey population. J. Franklin Inst. 353, 3818–3834 (2016)

    Article  MathSciNet  Google Scholar 

  10. Jiao, J., et al.: Threshold dynamics of a stage-structured single population model with non-transient and transient impulsive effects. Appl. Math. Lett. 97, 88–92 (2019)

    Article  MathSciNet  Google Scholar 

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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

    Yumei Zhou & Jianjun Jiao

Authors
  1. Yumei Zhou
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  2. Jianjun Jiao
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Editor information

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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Zhou, Y., Jiao, J. (2021). Dynamics of a Single Population Model with Non-transient/Transient Impulsive Harvesting and Birth Pulse 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_3

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  • DOI: https://doi.org/10.1007/978-3-030-72795-6_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-72794-9

  • Online ISBN: 978-3-030-72795-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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