Meihong Qiao

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A delayed reaction-diffusion model is established to describe the hepatitis B virus (HBV) infection and control, where the diffusion is confined to a finite domain. By using the method of upper-lower solutions, we obtain the sufficient conditions for the existence of traveling wave solutions of reaction--diffusion systems with delay. The travelling wave(More)
An epidemic model with time delay and impulse is proposed to describe if time delay plays an important role in the spread of an infectious disease. Mathematical analyses with regard to the local, global stability of equilibrium are performed. We give out the conditions for global attractivity of the disease-free equilibrium and permanence of the system,(More)
Meihong Qiao, Huan Qi, Tianhai Tian Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China School of Mathematics and Physics, China University of Geosciences, Wuhan, China School of Mathematical Sciences, Monash University, Melbourne, Australia Department of Mathematics, University of Glasgow, Glasgow, UK(More)
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