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具有不确定性的分数阶捕食者 - 猎物模型分析

Analysis for fractional-order predator-prey model with uncertainty.

作者信息

Narayanamoorthy Samayan, Baleanu Dumitru, Thangapandi Kalidas, Perera Shyam Sanjeewa Nishantha

机构信息

Department of Mathematics, Bharathiar University Coimbatore, Tamil Nadu, India.

Institute of Space Sciences, Bucharest, Romania.

出版信息

IET Syst Biol. 2019 Dec;13(6):277-289. doi: 10.1049/iet-syb.2019.0055.

DOI:10.1049/iet-syb.2019.0055
PMID:31778124
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8687390/
Abstract

Here, the authors analyse the fractional-order predator-prey model with uncertainty, due to the vast applications in various ecological systems. The most of the ecological model do not have exact analytic solution, so they proposed a numerical technique for an approximate solution. In the proposed method, they have implemented the higher order term into the fractional Euler method to enhance the precise solution. Further, the present attempt is aimed to discuss the solutions of the FPPM with uncertainty (fuzzy) initial conditions. The initial conditions of the predator-prey model were taken as fuzzy initial conditions due to the fact that the ecological model highly depends on uncertain parameters such as growth/decay rate, climatic conditions, and chemical reactions. Finally, the numerical example manifest that the proposed method is authentic, applicable, easy to use from a computational viewpoint and the acquired outcomes are balanced with the existing method (HPM), which shows the efficiency of the proposed method.

摘要

在此，由于在各种生态系统中的广泛应用，作者分析了具有不确定性的分数阶捕食者 - 猎物模型。大多数生态模型没有精确的解析解，因此他们提出了一种用于近似解的数值技术。在所提出的方法中，他们将高阶项引入分数阶欧拉方法以提高解的精度。此外，当前的尝试旨在讨论具有不确定性（模糊）初始条件的捕食者 - 猎物模型（FPPM）的解。捕食者 - 猎物模型的初始条件被视为模糊初始条件，因为生态模型高度依赖于诸如生长/衰减率、气候条件和化学反应等不确定参数。最后，数值示例表明所提出的方法是可靠的、适用的，从计算角度来看易于使用，并且所获得的结果与现有方法（同伦摄动法（HPM））相平衡，这表明了所提出方法的有效性。

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