Dynamics of a stochastic delay competitive model with harvesting and Markovian switching

Meng Liu, Jingyi Yu and Partha Sarathi Mandal

Applied Mathematics and Computation, 2018, vol. 337, issue C, 335-349

Abstract: This work is concerned with a two-species stochastic state-switching competitive population model with distributed delays and harvesting. First, necessary and sufficient criteria for the existence of a unique ergodic stationary distribution of the system are established. Then necessary and sufficient criteria for the existence of the optimal harvesting policy are given, and the explicit expression of the optimal harvesting policy is obtained. Finally, some effects of the state-switching on the persistence, extinction and optimal harvesting strategy of the system are discussed with the help of several simulations.

Keywords: Competitive model; State-switching; Time delay; Optimal harvesting (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:337:y:2018:i:c:p:335-349

DOI: 10.1016/j.amc.2018.03.044

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