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Threshold dynamics for a tuberculosis model with seasonality
1Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an, 710049, China. huxinli1975@yahoo.com.cn
Abstract:
In this paper, we investigate a SEILR tuberculosis model incorporating the effect of seasonal fluctuation, where the loss of sight class is considered. The basic reproduction number R₀ is defined. It is shown that the disease-free equilibrium is globally asymptotically stable and the disease eventually disappears if R₀ < 1, and there exists at least one positive periodic solution and the disease is uniformly persistent if R₀ > 1. Numerical simulations are provided to illustrate analytical results.
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