Optimal harvesting of a stochastic mutualism model with Lévy jumps

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• 作者：Meng Liu ; ^a ; ^b ; ^{liumeng0557@163.com" class="auth_mail" title="E-mail the corresponding author} ; ^{liumeng0557@sina.com" class="auth_mail" title="E-mail the corresponding author} ; Chuanzhi Bai^a
• 关键词：Optimal harvesting ; Lé ; vy jumps ; Mutualism ; White noise ; Itô ; &rsquo ; s formula ; Ergodic theory
• 刊名：Applied Mathematics and Computation
• 出版年：2016
• 出版时间：5 March 2016
• 年：2016
• 卷：276
• 期：Complete
• 页码：301-309
• 全文大小：421 K

文摘

In this letter, a stochastic mutualism model with Lévy jumps and harvesting is considered. Under some simple assumptions, sufficient and necessary criteria for the existence of optimal harvesting policy are established. The optimal harvesting effort and the maximum of sustainable yield are also obtained. The effects of random noises on the optimal harvesting of the model are discussed and some numerical simulations are introduced to illustrate the main results.