具有一般Holling型功能响应的三物种食物链模型共存与收获最优策略

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2021-06-29 DOI:10.1111/nrm.12316

M. Dawed, Kiros G. Kebedow

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引用次数: 1

摘要

在这篇论文中，我们讨论了猎物和中间捕食者的捕获。两者都受到霍林I–V型功能反应的影响。验证了非负平衡点的局部和全局稳定性的条件。证明了模型系统的永久共存准则和控制问题最优平衡解的存在性。确定了最大可持续收益和最大净现值。为了证实分析结果，使用Matlab进行了数值求解™ ODE求解器ODE45和仿真表明，模型系统揭示了复杂的行为（如振荡），反映了真实情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Coexistence and harvesting optimal policy in three species food chain model with general Holling type functional response

In this paper, we have discussed harvesting of prey and intermediate predator species. Both are subjected to Holling type I–V functional response. Conditions for local and global stability of the nonnegative equilibria are verified. The permanent coexistence criterion of the model system and existence of optimal equilibrium solution of the control problem are demonstrated. Maximum sustainable yield and maximal net present revenue are determined. To confirm analytical results, numerical solution has been carried out using the Matlab™ ODE solver ODE45 and the simulations show the model system reveals complex behavior (such as oscillations), which reflects the real situation.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.