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Existence of Traveling Fronts for General Reaction Systems with Nonlinear Diffusion

~1Ma Manjun ~2Hu Jianchao ~2Yang Daoming (1 College of Sciences,China Jiliang University,Hangzhou 310018; 2 School of Mathematics and Physics.University of South China,Hunan Hengyang 421001)  
In this paper,the authors use the perturbation method to investigate the existence of traveling fronts for a general reaction system with nonlinear diffusion.Sufficient conditions for the existence of traveling wavefronts are obtained,which make the results in the related references derived easily.As an application the authors employ the obtained results to show the existence of traveling fronts for a specific reaction-diffusion system.
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