Global dynamics of a hybrid Cholera model with phage-bacteria interaction  

作　　者：Zhenxiang Hu Linfei Nie 

机构地区：[1]College of Mathematics and System Sciences Xinjiang University,Urumqi 830017,P.R.China

出　　处：《International Journal of Biomathematics》2024年第8期61-90,共30页生物数学学报(英文版)

基　　金：supported by the Natural Science Foundation of Xinjiang Uygur Autonomous Region(Grant Nos.2022TSYCCX0015 and 2021D01E12);the National Natural Science Foundation of China(Grant No.12361103);the Scientific Research and Innovation Project of Outstanding Doctoral Students in Xinjiang University(Grant No.XJU2022BS022).

摘　　要：We propose,in this paper,a hybrid Cholera transmission model with phage to simulate the interaction between Vibrio cholerae and phages in the host population and environment,which is coupled with some reaction-diffusion equations and first-order partial differential equations.The precise formulation of basic reproduction number(Ro)is deduced,which characterizes the elimination or prevalence of this disease.Specifically,the disease-free steady state is globally asymptotically stable for R_(0)≤1 but unstable for R_(0)>1.Further,the phage invasion reproduction number Ri is also obtained,which portrays the impact of phages on Vibrio cholerae in the environment.That is,for R_(0)>1,the phage-free endemic steady state is globally asymptotically stable if R_(1)≤1,and the phage-present endemic steady state is globally asymptotically stable if R_(1)>1.Numerical simulations are introduced for the purpose of verifying the main results.

关 键 词：Hybrid Cholera model environmental and phages basic reproduction number global asymptotical stability 

分 类 号：O175[理学—数学]