An epidemic model of childhood disease dynamics with maturation delay and latent period of infection

摘要: In the present study, an epidemic model is proposed with maturation delay and latent period of infection, keeping in view childhood disease dynamics studied asymptotic behavior for all feasible equilibrium states. The criterion local stability system around steady states are established terms delay, parameters. Further explored possibility Hopf bifurcation at endemic state threshold determined. We also performed sensitivity analysis variables respect to parameters identified respective sensitive indices. numerical simulations have been carried out justify our analytic findings.