This paper studies a system of semi-linear fractional diffusion equations which arise in competitive predator-preymodels by replacing the second-order derivatives in the spatial variables with fractional derivatives o...This paper studies a system of semi-linear fractional diffusion equations which arise in competitive predator-preymodels 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-preymodels are studied.展开更多
基金supported by National Natural Science Foundation of China(Grant No.11171274).
文摘This paper studies a system of semi-linear fractional diffusion equations which arise in competitive predator-preymodels 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-preymodels are studied.
