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A periodic epidemic model in a patchy environment. (English) Zbl 1101.92046
Summary: An epidemic model in a patchy environment with periodic coefficients is investigated. By employing persistence theory, we establish a threshold between extinction and uniform persistence of the disease. Further, we obtain conditions under which the positive periodic solution is globally asymptotically stable. At last, we present two examples and numerical simulations.

92D30 Epidemiology
34C25 Periodic solutions to ordinary differential equations
34D23 Global stability of solutions to ordinary differential equations
92D40 Ecology
34D05 Asymptotic properties of solutions to ordinary differential equations
37N25 Dynamical systems in biology
Full Text: DOI
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