@article { author = {Temgoua, Anatole and Malong, Yannick and Mbang, Joseph and Bowong, Samuel}, title = {Global properties of a tuberculosis model with lost sight and multi-compartment of latents}, journal = {Journal of Mathematical Modeling}, volume = {6}, number = {1}, pages = {47-76}, year = {2018}, publisher = {University of Guilan}, issn = {2345-394X}, eissn = {2382-9869}, doi = {10.22124/jmm.2018.2775}, abstract = {A  tuberculosis (TB) model with  lost sight  and multiple latent classes  is considered and studied. We derive the basic reproduction ratio $\mathcal R_0$. There is always a globally asymptotically stable equilibrium state. Depending on the value of   $\mathcal{R}_0$, this state can be either endemic ($\mathcal{R}_0> 1$), or infection-free ($\mathcal{R}_0\leq 1$). The global asymptotic stability of equilibria is established using Lyapunov functions that combine quadratic, Volterra-type and linear functions. The theory is supported by numerical simulations.}, keywords = {TB,mathematical models,basic reproduction number,Stability}, url = {https://jmm.guilan.ac.ir/article_2775.html}, eprint = {https://jmm.guilan.ac.ir/article_2775_9fed0f438341d3fda516b0ff91d03318.pdf} }