Dynamics of an SEIR model with infectivity in incubation period and homestead-isolation on the susceptible

Jianjun Jiao; Zuozhi Liu; Shaohong Cai

doi:10.1016/j.aml.2020.106442

Dynamics of an SEIR model with infectivity in incubation period and homestead-isolation on the susceptible

Appl Math Lett. 2020 Sep:107:106442. doi: 10.1016/j.aml.2020.106442. Epub 2020 Apr 25.

Authors

Jianjun Jiao¹, Zuozhi Liu¹, Shaohong Cai¹

Affiliation

¹ School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, PR China.

Abstract

In this paper, we present an SEIR epidemic model with infectivity in incubation period and homestead-isolation on the susceptible. We prove that the infection-free equilibrium point is locally and globally asymptotically stable with condition $R_{0} < 1 .$ We also prove that the positive equilibrium point is locally and globally asymptotically stable with condition $R_{0} > 1 .$ Numerical simulations are employed to illustrate our results. In the absence of vaccines or antiviral drugs for the virus, our results suggest that the governments should strictly implement the isolation system to make every effort to curb propagation of disease during the epidemic.

Keywords: An SEIR epidemic model; Homestead-isolation on the susceptible; Infection-free; Infectivity in incubation period.