具有潜伏效应的登革热动力学模型稳定性分析

Stability Analysis of Dengue Thermokinetic Model with Latent Effect

登革热是一种严重危害人类健康的传染病。考虑登革热的传播在人群中具有潜伏期,并将蚊虫分为幼虫和成虫两阶段,建立传染病模型,再研究其动力学行为。通过引入原系统的极限系统,得到了系统是一致持久的,进一步,利用单调系统相关理论证明了其地方病平衡点在R0】1时是全局渐近稳定的。

Dengue fever is a kind of infectious disease which seriously harms human health. Considering that dengue fever has incubation period in the population, the mosquito is divided into two stages: larva and adult. The infectious disease model is established and its dynamic behavior is studied. By introducing the limit system of the original system, we get that the system is consistent and persistent. Furthermore, the local disease equilibrium point is globally asymptotically stable when R0>1 using the theory of monotone system.