A periodic epidemic model in a patchy environment |
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| Authors: | Fang Zhang Xiao-Qiang Zhao |
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| Institution: | Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL A1C 5S7, Canada |
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| 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. |
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| Keywords: | Epidemic model Population dispersal Persistence and extinction of disease Periodic solution |
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