QUADRATIC HARVESTING DOMINATED OPTIMAL STRATEGY FOR A STOCHASTIC SINGLE-SPECIES MODEL

Dianli Zhao; Haidong Liu; Yanli Zhou; Sanling Yuan

doi:10.11948/20190174

2020 Volume 10 Issue 4

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Dianli Zhao, Haidong Liu, Yanli Zhou, Sanling Yuan. QUADRATIC HARVESTING DOMINATED OPTIMAL STRATEGY FOR A STOCHASTIC SINGLE-SPECIES MODEL[J]. Journal of Applied Analysis & Computation, 2020, 10(4): 1256-1266. doi: 10.11948/20190174

Citation:

Dianli Zhao, Haidong Liu, Yanli Zhou, Sanling Yuan. QUADRATIC HARVESTING DOMINATED OPTIMAL STRATEGY FOR A STOCHASTIC SINGLE-SPECIES MODEL[J]. Journal of Applied Analysis & Computation, 2020, 10(4): 1256-1266. doi: 10.11948/20190174

QUADRATIC HARVESTING DOMINATED OPTIMAL STRATEGY FOR A STOCHASTIC SINGLE-SPECIES MODEL

1.
College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
2.
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
3.
College of Arts and Science, Shanghai University of Medicine and Health Sciences, Shanghai 201318, China

Corresponding author: Email address:Tc_zhaodianli@usst.edu.cn(D. Zhao)

Abstract

Abstract

A stochastic population model with the mixed harvesting strategy is formulated and studied in this paper. Sufficient and necessary conditions for survival of the species are derived firstly. Then, based on the ergodic stationary distribution, the optimal strategy is identified. Results show that the linear harvesting effort threatens to the survival of the species; the quadratic harvesting strategy occupies an absolute advantage in the harvesting and excludes the linear part out of the optimal harvesting strategy. It's interest to see all these occur only in the random environments. Computer simulations are carried out to support the obtained results.
- Stochastic single-species model /
- ergodicity /
- optimal harvesting strategy /
- threshold

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References

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