Resumen de Relaxation Oscillation and Canard Explosion for a SIRS Model with Nonlinear Incidence Rate

Wang Xiaoling, Li Shimin

• In this paper, we study a susceptible-infectious-recovered model with a nonlinear incidence rate. Assume that the infected individual has large immunity failure rate, then it becomes a slow–fast system. Using geometry singular perturbation theory, we revealed that it exhibits rich dynamics, such as supercritical Hopf bifurcation, canard explosion and relaxation oscillation.