An SEIR model with infected immigrants and recovered emigrants

Advances in Difference Equations

Peter J. Witbooi¹ 

[1] Department of Mathematics and Applied Mathematics, University of the Western Cape, Robert Sobukwe Rd, 7530, Bellville, South Africa;

关键词: Basic reproduction number;    Stable equilibrium;    Imported infection;    Recovered emigrant;    Measles;    92D30;    34K20;   

DOI  :  10.1186/s13662-021-03488-5

来源: Springer

【 摘 要 】

We present a deterministic SEIR model of the said form. The population in point can be considered as consisting of a local population together with a migrant subpopulation. The migrants come into the local population for a short stay. In particular, the model allows for a constant inflow of individuals into different classes and constant outflow of individuals from the R-class. The system of ordinary differential equations has positive solutions and the infected classes remain above specified threshold levels. The equilibrium points are shown to be asymptotically stable. The utility of the model is demonstrated by way of an application to measles.

【 授权许可】

CC BY