Dynamical Study of Fractional Model of Allelopathic Stimulatory Phytoplankton Species

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• 作者：Syed Abbas ; Lakshman Mahto ; Angelo Favini…
• 刊名：Differential Equations and Dynamical Systems
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：24
• 期：3
• 页码：267-280
• 全文大小：582 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  
• 出版者：Springer India
• ISSN：0974-6870
• 卷排序：24

文摘

In this paper, we present a fractional model of interacting phytoplankton species in which one species produces chemical which is stimulatory in nature to the other species. We study existence, uniqueness, permanence, persistence and stability of the solution. We introduce a new method to prove permanence and persistence, which may be applicable to several ecological models of fractional order. At the end we propose a discritization method and perform some numerical simulations to validate our analytical findings.KeywordsCaputo fractional derivativeStabilityFixed point methodFractional Adams–Bashforth–Moulton method