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

作　　者：岑达康 汪志波 Cen Da-kang;Wang Zhi-bo(School of Mathematics and Statistics,Guangdong University of Technology,Guangzhou 510520,China)

机构地区：[1]广东工业大学数学与统计学院,广东广州510520

出　　处：《广东工业大学学报》2022年第2期62-65,共4页Journal of Guangdong University of Technology

基　　金：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)

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。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：分数阶捕食者−食饵模型 变分迭代方法 收敛性 

分 类 号：O241.8[理学—计算数学]