分数阶捕食者−食饵模型的变分迭代法

岑达康; 汪志波

doi:10.12052/gdutxb.200125

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分数阶捕食者−食饵模型的变分迭代法

综合研究 | 更新时间：2026-05-27

- 分数阶捕食者−食饵模型的变分迭代法
- A Variational Iteration Method for Fractional Predator-Prey Model
- 广东工业大学学报 2022年39卷第2期页码：62-65
- 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：
  
  岑达康(1997–)，男，硕士研究生，主要研究方向为微分方程数值解
  汪志波(1987–)，男，副教授，主要研究方向为微分方程数值解，E-mail：wzbmath@gdut.edu.cn
- 基金信息：
  
  国家自然科学基金资助项目(11701103);广东省珠江人才计划引进高层次人才项目(2017GC010379);广东省自然科学基金资助项目(2019A1515010876);广东省计算科学重点实验室开放基金(2021023);广州市科技计划一般项目(201904010341，202102020704)
- DOI：10.12052/gdutxb.200125
  中图分类号： O241.8
- 网络首发：2022-03-10，
  
  纸质出版：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.

关键词

Keywords

references

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