Threshold Dynamics of an HIV-TB Co-infection Model with Multiple Time Delays

In this article, a mathematical model to study the dynamics ofHIV-TB co-infection with two time delays is proposed and analyzed.We compute basic reproduction number for each disease (HIV andTB) which acts as threshold parameters. The dies out whenthe of both diseases are less than unityand persists when atleast one thedisease greater unity. A numerical on alsoperformed investigate influence certain key parameters thespread disease. Mathematical analysis our shows thatswitching TB) single infection (HIV) can beachieved by imposing treatment simultaneouslyas TB eradication made possible effective treatment.