2019/05/07 by Alexis Nangue, Nangue, Alexis, Cyprien Fokoue +3
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #34D23 #37C75 #92B99 #92D25 #93DXX #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #Hepatitis C virus research #Liver Disease Diagnosis and Treatment #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE) #math.DS #msc:34D23 #msc:37C75 #msc:92B99 #msc:92D25 #msc:93DXX #q-bio.PE
paper · pdf · doi:10.48550/arxiv.1905.02561
48 PAGES
arxiv created 2019/05/07 · openalex publication_date 2019/05/07 · arxiv updated 2019/05/08 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28
The aims of this work is to analyse of the global stability of the extended model of hepatitis C virus(HCV) infection with cellular proliferation, spontaneous cure and hepatocyte homeostasis. We first give general information about hepatitis C. Secondly, We prove the existence of local, maximal and global solutions of the model and establish some properties of this solution as positivity and asymptotic behaviour. Thirdly we show, by the construction of an appropriate Lyapunov function, that the uninfected equilibrium and the unique infected equilibrium of the model of HCV are globally asymptotically stable respectively when the threshold number R0<1-\fracqdI+q and when R0>1. Finally, some numerical simulations are carried out using Maple software confirm these theoretical results.