一类具有预防接种的SEIRS_vI_v媒介传染病模型  

A SEIRS_vI_v Vector-borne Epidemic Model with Vaccination

作　　者：梁桂珍[1] 孟杰[1,2] LIANG Guizhen MENG Jie(College of Mathematics and Information Science, Xinxiang University, Xinxiang 453003, China College of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450000, China)

机构地区：[1]新乡学院数学与信息科学学院,河南新乡453003 [2]郑州大学数学与统计学院,郑州450001

出　　处：《新乡学院学报》2017年第6期1-4,共4页Journal of Xinxiang University

基　　金：河南省科技厅科技攻关项目(132102310482);河南省高等学校重点科研项目(16A110021);新乡学院科技创新项目(12ZB17)

摘　　要：建立了一类具有预防接种的SEIRS_vI_v媒介传染病模型,得到了基本再生数R_0的表达式,证明了以下结论:当R_0<1时,模型的无病平衡点是全局渐近稳定的;当R_0>1时,唯一地方病平衡点是局部渐近稳定的。通过数值模拟验证了结论的正确性。A SEIRSvIv vector-borne epidemic model with vaccination was built.The reproduction number was obtained,and the following conclusions were drawn：if R0〈1,the disease-free equilibriumof the model was globally asymptotically stable;if R0〉1,the model had a unique endemic equilibrium and was locally asymptotically stable.The numerical simulation was given to validate the conclusion.

关 键 词：媒介传染病 预防接种 潜伏期 稳定性 数值模拟 

分 类 号：O175.21[理学—数学]