摘要
In this paper,we study an SS_(v)EIQR model with nonlinear contact rate,isolation rate and vaccination rate driven by media coverage.First,the basic reproduction number R_(0)is derived.Then,the threshold dynamics of the disease are obtained in terms of R_(0):when R_(0)≤1,the global stability of the disease-free equilibrium is obtained by constructing an appropriate Lyapunov function;when R_(0)>1,the sufficient conditions to prove the globally stability of endemic equilibrium are obtained by applying the geometric method into the four-dimensional system,which needs to estimate the Lozinskii measure of a 6×6 matrix.Further,we conduct some numerical simulations to validate our theoretical results,and analyze the impact of media coverage on disease transmission,the results show that media coverage could effectively suppress the spread of the disease and reduce the number of infected individuals.Finally,through the sensitivity analysis of R_(0),we obtain some measures to control the spread of the disease,such as reducing contact,strengthening isolation and vaccination.
基金
supported by the Natural Science Foundation of Xinjiang Uygur Autonomous Region(2022D01C64,2022D01C699)
Natural Science Foundation of China(12201540)
the Doctoral Foundation of Xinjiang University(620320024).
