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

Dianli Zhao | Zendy; Haidong Liu | Zendy; Yanli Zhou | Zendy; Sanling Yuan | Zendy

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

Author(s) -

Dianli Zhao,

Haidong Liu,

Yanli Zhou,

Sanling Yuan

Publication year - 2020

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/20190174

Subject(s) - ergodic theory , quadratic equation , mathematical optimization , population , mathematics , computer science , mathematical analysis , demography , geometry , sociology

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.

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