Year: 2016
Author: Jingtang Ma, Zhiqiang Zhou
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 6 : pp. 911–931
Abstract
This paper studies a system of semi-linear fractional diffusion equations which arise in competitive predator-prey models by replacing the second-order derivatives in the spatial variables with fractional derivatives of order less than two. Moving finite element methods are proposed to solve the system of fractional diffusion equations and the convergence rates of the methods are proved. Numerical examples are carried out to confirm the theoretical findings. Some applications in anomalous diffusive Lotka-Volterra and Michaelis-Menten-Holling predator-prey models are studied.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2015.m1065
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 6 : pp. 911–931
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Finite element methods fractional differential equations predator-prey models.
Author Details
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Finite element methods for fractional diffusion equations
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Qu, Min
Bu, Weiping
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https://doi.org/10.1142/S1793962320300010 [Citations: 4]