In this paper, we considered a SCIRS model in discrete-time, and obtained the basic reproduction number by using the next generation matrix method. We also examined the global stability of disease-free equilibrium, the existence and persistence of the endemic equilibrium by using theoretical techniques. Numerical simulations demonstrate that the endemic equilibrium may be globally asymptotically stable. The model was applied to describe the transmission of Meningococcal meningitis. The comparison between th...
【基金】
Supported by the National Natural Science Foundation of China(11171267);
IDRC of Canada grant 104519-010;
Technology Department of Taiyuan Institute of Technology2015LQ19
【更新日期】
2017-11-09
【分类号】
O175
【正文快照】
1.IntroductionMeningococcal meningitis is an infectious disease and an important public health issuewith approximately 1.2 million cases worldwide and 135,000 estimated deaths per year[1].Despite the presence of effective prevention and treatment measures