摘要
依据手足口病在实际中流行的特点,用依赖变量S的非单调的接触率函数来表示一系列的外部和内部因素的影响,并在手足口病动力学模型中引入双时滞,建立含时滞且具有非单调接触率的手足口病模型,再将模型转化为线性化线性系统。探讨了模型的无病平衡点和地方病平衡点的存在性及稳定性,得知模型有唯一的无病平衡点,并且在5种情况下,讨论了地方病平衡点的存在性。最后分析得知,无病平衡点在基本再生数大于1时是不稳定的,地方病平衡点是全局渐近稳定的。
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.
出处
《佛山科学技术学院学报（自然科学版）》
CAS
2017年第5期49-53,59,共6页
Journal of Foshan University(Natural Science Edition)
基金
广东省大学生攀登计划培育项目(pdjh2017b0658)
关键词
手足口病
基本再生数
无病平衡点
地方病平衡点
hand-foot-mouth disease
basic regeneration number
no disease equilibrium
local disease equilibrium
