文章基本信息

标题：On Numerical Solutions of Fractional-Order with a Delay of CSOH Model
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作者：Adirek Vajrapatkul ; Sekson Sirisubtawee ; Sanoe Koonprasert 等
期刊名称：Lecture Notes in Engineering and Computer Science
印刷版ISSN：2078-0958
电子版ISSN：2078-0966
出版年度：2018
卷号：2233&2234
页码：477-483
出版社：Newswood and International Association of Engineers
摘要：Based on the current problem of squirrels within the coconut farms in SamutSongkhram, a province of Thailand, it encourages us to formulate the mathematical model to study the dynamics in this area. The system of fractional delayed differential equations is thus constructed for presenting the dynamics and interacting pattern of the number of coconut yields, squirrels, bran owls, and squirrel hunters in the coconut farm environment. The resulting model is shortly called the CSOH model. The well-known solver such as ODE45 and DDE23 are first used to numerically solve the first-order differential system of the PECE model for the approximate solutions. They are compared with those obtained using the Adams-BashforthMoulton type predictor-corrector scheme (PECE method). The comparisons among the methods demonstrate the consistency of the results. In addition, we apply the PECE method to the fractional delayed PECE model to investigate the dynamics of its numerical solutions.
关键词：SamutSongkhram; Thailand; Squirrel; Coconut;; Bran owl; squirrel hunter; CSOH model; AdamsBashforth-Moulton; type predictor-corrector scheme; Caputo; fractional-order derivative