Threshold dynamics for a tuberculosis model with seasonality.
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.
Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an, 710049, China. huxinli1975@yahoo.com.cn
Xinli
X
Hu
D000995:Antitubercular Agents / Q000627:therapeutic use*; D050936:Basic Reproduction Number; D003198:Computer Simulation; D006801:Humans; D008954:Models, Biological; D009169:Mycobacterium tuberculosis / Q000254:growth & development*; D010352:Patient Dropouts; D012621:Seasons; D014376:Tuberculosis / Q000188:drug therapy* / Q000453:epidemiology / Q000382:microbiology*
D000995:Antitubercular Agents