An epidemic model with viral mutations and vaccine interventions

In this paper, we introduce a two-strain SIR epidemic model with viral mutation and vaccine administration. We discuss analyze the existence stability of equilibrium points. This has three types points, namely disease-free equilibrium, dominance point strain two, coexistence endemic point. The local two are verified by using Routh--Hurwitz criteria, while for global used suitable Lyapunov function. also carried out bifurcation analysis application center manifold theory, obtained that system near always supercritical bifurcation. Finally, numerical simulations provided to validate theoretical results. Continuation results in Hopf bifurcations indicating birth chaos quasi-periodicity.