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- Title
Optimal harvesting strategies of a stochastic competitive model with S-type distributed time delays and Lévy jumps.
- Authors
Qiu, Hong; Deng, Wenmin; Xiang, Mingqi
- Abstract
The aim of this paper is to investigate the optimal harvesting strategies of a stochastic competitive Lotka–Volterra model with S-type distributed time delays and Lévy jumps by using ergodic method. Firstly, the sufficient conditions for extinction and stable in the time average of each species are established under some suitable assumptions. Secondly, under a technical assumption, the stability in distribution of this model is proved. Then the sufficient and necessary criteria for the existence of optimal harvesting policy are established under the condition that all species are persistent. Moreover, the explicit expression of the optimal harvesting effort and the maximum of sustainable yield are given.
- Subjects
HARVESTING; STOCHASTIC models; OIL &; fat extraction; WHITE noise
- Publication
Boundary Value Problems, 2021, Vol 2021, Issue 1, p1
- ISSN
1687-2762
- Publication type
Article
- DOI
10.1186/s13661-021-01509-6