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Harvesting on a State-Dependent Time Delay Model

Author

Listed:
  • Xie Ruijun

    (School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, 233030, China)

  • Zhang Xin

    (Department of Basic Courses, Beijing Union University, Beijing, 100101, China)

  • Zhang Wei

    (Students’affairs Division, Anhui University of Finance and Economics, Bengbu, 233030, China)

Abstract

In this paper, we propose and analyze a cooperation model with harvesting and state-dependent delay, which is assumed to be an increasing function of the population density with lower and upper bound. The main purpose of this article is to obtain the dynamics of our model analytically by controlling the harvesting. We present results on positivity and boundedness of all populations. Criteria for the existence of all equilibria and uniqueness of a positive equilibrium are given by controlling the harvesting. Finally, the global exponentially asymptotical stability criteria of model is obtained by the improved Hanalay inequality.

Suggested Citation

  • Xie Ruijun & Zhang Xin & Zhang Wei, 2020. "Harvesting on a State-Dependent Time Delay Model," Journal of Systems Science and Information, De Gruyter, vol. 8(1), pages 82-96, February.
    • Handle: RePEc:bpj:jossai:v:8:y:2020:i:1:p:82-96:n:6
    DOI: 10.21078/JSSI-2020-082-15
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