Optimal Harvesting for a Stochastic Predator-prey Model with S-type Distributed Time Delays

Sheng Wang (), Linshan Wang () and Tengda Wei ()
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Sheng Wang: Ocean University of China
Linshan Wang: Ocean University of China
Tengda Wei: Ocean University of China

Methodology and Computing in Applied Probability, 2018, vol. 20, issue 1, 37-68

Abstract: Abstract In this paper, the optimization problem of harvesting for a stochastic predator-prey model with S-type distributed time delays (which contain both discrete time delays and continuously distributed time delays) is studied by using ergodic method. Sufficient and necessary conditions for the existence of optimal harvesting strategy are obtained. Moreover, the optimal harvesting effort (OHE, for short) and the maximum of expectation of sustainable yield (MESY, for short) are given. Some numerical simulations are introduced to illustrate our main results.

Keywords: Optimal harvesting; Stochastic predator-prey model; Time delay; Ergodic method; 60H10; 60H30; 92D25 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s11009-016-9519-2

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