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arXiv 1906.01192math.DS
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Rosenzweig-MacArthur捕食模型的分数阶微积分方法及其解

A fractional calculus approach to Rosenzweig-MacArthur predator-prey model and its solution

Shuvojit Mondal, Nandadulal Bairagi, Abhijit Lahiri

摘要:

本文利用同伦扰动法给出了一类食饵服从逻辑增长且捕食行为服从II型响应函数的分数阶捕食-食饵模型的解析解.数值解来说明不同的特殊情况。计算结果表明,用较少的迭代次数就可以得到精确解。

英文摘要:

In this paper we present analytical solution of a fractional order predator-prey model, where prey grows logistically and predation occurs following type II response function, by homotopy perturbation method. Numerical solutions are presented to illustrate different particular cases. Our computational results show that accurate solution may be obtained with few iterations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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