Stability analysis of hand foot and mouth infectious disease model with time delay and non monotonic contact rate
Based on the epidemic characteristics of the hand-foot-mouth disease,using non monotonic contact rate of the dependent variable function K(S)to represent a series of external and internal factors,not in the hand,foot and mouth disease dynamics model introduced in double time delay,and thus establish a touch delay and have not monotonous content,foot and mouth disease model,and then linearized model can be converted to a linear system,discusses the model disease-free equilibrium and the existence and stability of the endemic equilibrium,told of the disease-free equilibrium model is the only,and in 5 cases,the existence of the endemic equilibrium is discussed.Finally,it is found that the disease-free equilibrium is unstable when the basic regeneration number is greater than 1,and the local disease equilibrium is asymptotically stable.
hand-foot-mouth disease basic regeneration number no disease equilibrium local disease equilibrium
Jinlan Guan
Guangdong Agricultural Industry Business Polytechnic,Guangzhou,China
国际会议
太原
英文
560-565
2019-06-29（万方平台首次上网日期，不代表论文的发表时间）