Long periods of latency and the emergence of antibiotic resistance due to incomplete treatment are very important features of tuberculosis (TB) dynamics. Previous studies of two-strain TB have been performed by ODE models. In this article, we formulate a two-strain TB model with an arbitrarily distributed delay in the latent stage of individuals infected with the drug-sensitive strain and look at the effects of variable periods of latency on the disease dynamics. Key words. stability, distributed delays, tuberculosis, mathematical models AMS subject classifications. 35L60, 45D05, 65M06, 92D25, 92D30 PII. S003613990038205X
F. A. Milner, M. Iannelli, Z. Feng