Bifurcation analysis on a delayed SIS epidemic model with stage structure

Bifurcation analysis on a delayed SIS epidemic model with stage structure

Blog Article

In this paper, a delayed SIS (Susceptible Infectious Susceptible) model with stage structure is investigated.We study the Hopf bifurcations and stability of the model.Applying the normal form Pastry Tip Sets theory and the center manifold argument, Elevation Assembly we derive the explicit formulas determining the properties of the bifurcating periodic solutions.The conditions to guarantee the global existence of periodic solutions are established.Also some numerical simulations for supporting the theoretical are given.