Global analysis and optimal harvesting for a hybrid stochastic phytoplankton-zooplankton-fish model with delays

讲座时间 Datetime: 2022年9月12日，星期一，9:00-10:00

地点 Venue: 腾讯会议：434-145-642

主持人 Host：唐德

报告人 Speaker: 杨志春  

单位 Affiliation: 重庆师范大学

报告摘要 Abstract:

In this talk, 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.