Stability Analysis of a Multigroup Epidemic Model with General Exposed Distribution and Nonlinear Incidence Rates

摘要: We investigate a class of multigroup epidemic models with general exposed distribution and nonlinear incidence rates. For simpler case that assumes an identical natural death rate for all groups, gamma is considered. Some sufficient conditions are obtained to ensure the global dynamics completely determined by basic production number . The proofs main results exploit method constructing Lyapunov functionals graph-theoretical technique in estimating derivatives functionals.