A Variational Iteration Method for Fractional Predator-Prey Model

Cen Da-kang; Wang Zhi-bo

doi:10.12052/gdutxb.200125

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A Variational Iteration Method for Fractional Predator-Prey Model

更新时间：2026-05-27

- A Variational Iteration Method for Fractional Predator-Prey Model
- Vol. 39, Issue 2, Pages: 62-65(2022)
- 作者机构：
  
  广东工业大学数学与统计学院,广东,广州,510520
- 作者简介：
- 基金信息：
- DOI：10.12052/gdutxb.200125
  CLC： O241.8
- Online First：10 March 2022，
  
  Published：2022
- 稿件说明：
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岑达康, 汪志波. 分数阶捕食者−食饵模型的变分迭代法[J]. 广东工业大学学报, 2022, 39(2): 62-65.

Cen Da-kang, Wang Zhi-bo. A Variational Iteration Method for Fractional Predator-Prey Model[J]. 2022, 39(2): 62-65.
岑达康, 汪志波. 分数阶捕食者−食饵模型的变分迭代法[J]. 广东工业大学学报, 2022, 39(2): 62-65. DOI： 10.12052/gdutxb.200125.

Cen Da-kang, Wang Zhi-bo. A Variational Iteration Method for Fractional Predator-Prey Model[J]. 2022, 39(2): 62-65. DOI： 10.12052/gdutxb.200125.

摘要

讨论了一类分数阶捕食者−食饵模型的变分迭代方法(Variational Iteration Method

VIM)。对该模型进行积分变换，得到与之等价的耦合积分微分方程组。根据变分原理，得出拉格朗日乘子，构建VIM求解格式，并对求解格式的收敛性进行分析。最后进行了相关的数值模拟，模拟结果验证了该方法的可行性和有效性。

Abstract

A variational iteration method (VIM) for a class of fractional predator-prey model is studied. A pair equivalent coupled integro-differential equation to the model is obtained by means of integral transformation. According to variational theory

the Lagrange multiplier is calculated and the VIM scheme is constructed. Finally

a convergence analysis of the scheme is given and a numerical simulation is carried out.The results verify the feasibility and effectiveness of the method.

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Keywords

references

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