Article ID Journal Published Year Pages File Type
4622512 Journal of Mathematical Analysis and Applications 2007 21 Pages PDF
Abstract

An epidemic model in a patchy environment with periodic coefficients is investigated in this paper. By employing the persistence theory, we establish a threshold between the extinction and the uniform persistence of the disease. Further, we obtain the conditions under which the positive periodic solution is globally asymptotically stable. At last, we present two examples and numerical simulations.

Related Topics
Physical Sciences and Engineering Mathematics Analysis