Global analysis and optimal harvesting for a hybrid stochastic phytoplankton-zooplankton-fish model with distributed delays
| Autor: | Yuan Pei Xia, Wei Song Zhou, Zhi Chun Yang |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Mathematical optimization
Optimization problem 02 engineering and technology Stability (probability) Zooplankton optimal harvesting 0502 economics and business QA1-939 0202 electrical engineering electronic engineering information engineering Animals white noise Brownian motion Mathematics Stochastic Processes markov switching Markov chain Applied Mathematics 05 social sciences Fishes General Medicine White noise phytoplankton-zooplankton-fish model Markov Chains Computational Mathematics Modeling and Simulation Bounded function Phytoplankton 020201 artificial intelligence & image processing General Agricultural and Biological Sciences Sustainable yield distributed delays TP248.13-248.65 050203 business & management Biotechnology |
| Zdroj: | Mathematical Biosciences and Engineering, Vol 17, Iss 5, Pp 6149-6180 (2020) |
| ISSN: | 1551-0018 |
| DOI: | 10.3934/mbe.2020326 |
| Popis: | In this paper, we formulate a phytoplankton-zooplankton-fish model with distributed delays and hybrid stochastic noises involving Brownian motion and Markov chain, and propose an optimal harvesting problem pursuing the maximum of total economic income. By global analysis in terms of some system parameters, we investigate the dynamical behaviors on the well-posedness, bounded- ness, persistence, extinction, stability and attractiveness of the solutions for the stochastic delayed system. Moreover, we provide sufficient and necessary condition ensuring the existence of the optimization solution for the optimization problem and obtain the optimal harvesting effect and the maximum of sustainable yield. Lastly, two numerical examples and their simulations are given to illustrate the effectiveness of our results. |
| Databáze: | OpenAIRE |
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