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

IF 1.8 4区环境科学与生态学 Q3 ENVIRONMENTAL SCIENCES

Natural Resource Modeling Pub Date : 2021-06-29 DOI:10.1111/nrm.12316

M. Dawed, Kiros G. Kebedow

引用次数: 1

Abstract

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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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

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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来源期刊

Natural Resource Modeling 环境科学-环境科学

CiteScore

3.50

自引率

6.20%

发文量

审稿时长

>36 weeks

期刊介绍： Natural Resource Modeling is an international journal devoted to mathematical modeling of natural resource systems. It reflects the conceptual and methodological core that is common to model building throughout disciplines including such fields as forestry, fisheries, economics and ecology. This core draws upon the analytical and methodological apparatus of mathematics, statistics, and scientific computing.