Title :
Dynamics of the HBV Model with Diffusion and Time Delay
Author :
Qiao, Meihong ; Qi, Huan
Author_Institution :
Dept. of Control Sci. & Eng., Huazhong Univ. of Sci. & Technol., Wuhan, China
Abstract :
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 front, derived in this paper, corresponds to medicine injection that drives HBV to extinction. The result shows that HBV can be eliminated if the parameters satisfy some suitable conditions.
Keywords :
biodiffusion; biological fluid dynamics; delays; microorganisms; reaction-diffusion systems; HBV infection; HBV model dynamics; delayed reaction-diffusion model; hepatitis B virus; medicine injection; time delay; traveling wave solutions; travelling wave front; upper-lower solutions; virus control; Biological system modeling; Computational biology; Delay effects; Delay systems; Drugs; Equations; Liver diseases; Medical control systems; Medical treatment; Propagation delay; HBV; Monotone iteration; Reaction-diffusion systems with delay; Travelling wave fronts;
Conference_Titel :
Chaos-Fractals Theories and Applications, 2009. IWCFTA '09. International Workshop on
Conference_Location :
Shenyang
Print_ISBN :
978-0-7695-3853-2
DOI :
10.1109/IWCFTA.2009.68
