Dynamical analysis and optimal control in a hybrid stochastic double delayed bioeconomic system with impulsive contaminants emission and Lévy jumps

Chao Liu, Xinying Xun, Qingling Zhang and Yuanke Li

Applied Mathematics and Computation, 2019, vol. 352, issue C, 99-118

Abstract: In this paper, a hybrid stochastic double delayed prey predator bioeconomic system with impulses and Lévy jumps is established, where commercial harvesting on each population and impulsive contaminants emission from surrounding environment on each population growth are taken into account. Sufficient conditions for persistence in the mean and extinction of interacting population are investigated. The asymptotical stability in distribution of the proposed system is studied. Furthermore, optimal price control strategy and maximum of expectation of sustainable yield are discussed. Numerical simulations are carried out to illustrate theoretical analysis.

Keywords: Double time delays; Impulsive emission; Lévy jumps; Persistence in the mean; Optimal price control (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:352:y:2019:i:c:p:99-118

DOI: 10.1016/j.amc.2019.01.045

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