Epidemic characteristics of two classic SIS models with disease-induced death. (7th July 2017)

• Record Type: Journal Article
• Authors: Zhang, Fengqin; Li, Jianquan; Li, Jia
• Is Part Of: Journal of theoretical biology. Volume 424(2017)
• Page Start: 73
• Page End: 83
• Publication Date: 2017-07-07
• Subjects: Epidemic models -- Epidemic final size -- Peak -- Turning point; Biology -- Periodicals; Biological Science Disciplines -- Periodicals; Biology -- Periodicals; Biologie -- Périodiques; Theoretische biologie; Biology; Periodicals; 571.05
• DOI: 10.1016/j.jtbi.2017.04.029
• Languages: English
• ISSNs: 0022-5193

Abstract

Highlights: The turning points of two classic SIS epidemic models are investigated completely. The susceptible individuals for SIS models are divided into two subclasses according to the existence of the past infection. The dependence of the epidemic characteristics of the two epidemic models on the initial conditions is analyzed. The epidemic characteristics of the two models with different incidences are compared. Abstract: The epidemic characteristics of two classic SIS epidemic models, including the epidemic size, peak and turning point, are investigated. The two SIS models are with bilinear and standard incidences, respectively. For the SIS models, the susceptible individuals generally can be divided into two classes. One consists of the individuals who had not been infected by the infection, the other are individuals who have been infected and recovered from the infection. Based on this fact, the classic SIS epidemic models need to be reformulated in order to analyze the turning points of the epidemic for various cumulative cases in detail. The obtained results illustrate how to determine the epidemic characteristics of the two models, and demonstrate their dependence on the initial conditions and the relative parameters of the models.