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《Journal of Wuhan University(Natural Science Edition)》 2018-05
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Persistence and Stability of a Diffusion System with Saturation Term and Toxin Term

FENG Qinghong;School of Mathematical Sciences and Chemical Engineering,Changzhou Institute of Technology;  
A cooperative model with saturation term and toxin term was considered.The persistence of the system was proved by using the comparison principle.Based on the liner approximation method,the positive equilibrium solution is proved to be local stationary under some conditions.The global asymptotic stability of its positive equilibrium is presented by using Lyapunov function.
【Fund】: 国家自然科学基金资助项目(11371311)
【CateGory Index】: O175
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