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
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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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