On a diffusive bacteriophage dynamical model for bacterial infections

作     者：Hyacinthe M.Ndongmo Teytsa Berge Tsanou Jean Lubuma Samuel Bowong 

作者机构：Department of Mathematics and Computer Science University of DschangP.O.Bor 67DschangCameroon Department of Mathematics and Applied Mathematics University of PretoriaPretoria 0002South Africa IRD UMI 209 UMMISCO University of Yaounde IP..Bor 337YaoundeCameroon LIRIMA-EPITAG Team Project University of Yaounde IP.O.Bor 812YaoundeCameroon Department of Mathematics and Computer Science University of DoualaP.0.Bor 24157DoualaCameroon 

出 版 物：《生物数学学报:英文版》 (International Journal of Biomathematics)

年 卷 期：2023年第16卷第7期

页      面：47-89页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：The second author(B.T.) acknowledges the support of the University of Pretoria Senior Postdoctoral Program Grant(2018-2020) 

主　　题：Bacterial infections diffusion NSFD phage absorption global stability 

摘      要：Bacteriophages or phages are viruses that infect bacteria and are increasingly used to control bacterial *** develop a reaction-diffusion model coupling the interactive dynamic of phages and bacteria with an epidemiological bacteria-borne disease *** the submodel without phage absorption,the basic reproduction number Ro is *** disease-free equilibrium(DFE)is shown to be globally asymptotically stable whenever Ro is less than one,while a unique globally asymptotically endemic equilibrium is proven whenever Ro exceeds *** the presence of phage absorption,the above stated classical condition based on Ro,as the average number of secondary human infections produced by susceptible/lysogen bacteria during their entire lifespan,is no longer suficient to guarantee the global stability of the *** thus derive an additional threshold No,which is the average offspring number of lysogen bacteria produced by one infected human during the phage-bacteria interactions,and prove that the DFE is globally asymptotically stable whenever both Ro and No are under unity,and infections persist uniformly whenever Ro is greater than ***,the discrete counterpart of the continuous partial differential equation model is derived by constructing a nonstandard finite difference scheme which is dynamically *** consistency is shown by constructing suitable discrete Lyapunov functionals thanks to which the global stability results for the continuous model are *** scheme is implemented in MatLab platform and used to assess the impact of spatial distribution of phages,on the dynamic of bacterial infections.