Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System
作者机构：Institute for Groundwater StudiesFaculty of Natural and Agricultural SciencesUniversity of the Free StateBloemfontein 9300South Africa
出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)
年 卷 期：2017年第9卷第6期
页 面：1438-1460页
核心收录：
学科分类：07[理学] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 070101[理学-基础数学]
主 题：Asymptotically stable coexistence Fourier spectral method numerical simulations predator-prey fractional multi-species system
摘 要：In this work,we examine the mathematical analysis and numerical simulation of pattern formation in a subdiffusive multicomponents fractional-reactiondiffusion system that models the spatial interrelationship between two preys and predator *** major result is centered on the analysis of the system for linear *** of the main model reflects that the dynamical system is locally and globally asymptotically *** propose some useful theorems based on the existence and permanence of the species to validate our theoretical *** and efficient methods in space and time are formulated to handle any space fractional reaction-diffusion *** numerically present the complexity of the dynamics that are theoretically *** simulation results in one,two and three dimensions show some amazing scenarios.
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