Journal
MATHEMATICAL BIOSCIENCES AND ENGINEERING
Volume 9, Issue 1, Pages 111-122Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/mbe.2012.9.111
Keywords
Basic reproductive number; periodic solution; seasonal fluctuation; global asymptotic stability; uniform persistence
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In this paper, we investigate a SEILR tuberculosis model incorp orating the effect of seasonal fluctuation, where the loss of sight class is considered. The basic reproduction number R-0 is defined. It is shown that the disease-free equilibrium is globally asymptotically stable and the disease eventually disappears if R-0 < 1, and there exists at least one positive periodic solution and the disease is uniformly persistent if R-0 > 1. Numerical simulations are provided to illustrate analytical results.
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