Rujira OuncharoenSalinthip DaengkongkhoThongchai DumrongpokaphanYongwimon LenburyChiang Mai UniversitySouth Carolina Commission on Higher EducationMahidol University2018-10-192018-10-192013-11-04International Journal of Mathematics and Computers in Simulation. Vol.7, No.4 (2013), 369-378199801592-s2.0-84886684154https://repository.li.mahidol.ac.th/handle/20.500.14594/31613Recently, models describing the behavior of SIR epidemic with nonlinear incident rate have been revisited. We study the behavior of the model with time delay in which the total population size varies. Lyapunov functions are constructed to establish the global asymptotic stability of all steady states of the model. Numerical simulations are shown to confirm the main results.Mahidol UniversityComputer ScienceMathematicsArticleSCOPUS