Harvesting on a State-Dependent Time Delay Model

Xie Ruijun (), Zhang Xin () and Zhang Wei ()
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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

Journal of Systems Science and Information, 2020, vol. 8, issue 1, 82-96

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.

Keywords: state-dependent delay; exponential asymptotic stability; harvesting (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/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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