Oscillations in SIRS model with distributed delays

摘要: The ubiquity of oscillations in epidemics presents a long standing challenge for the formulation epidemic models. Whether they are external and seasonally driven, or arise from intrinsic dynamics is an open problem. It known that fixed time delays destabilize steady state solution standard SIRS model, giving rise to stable certain parameters values. In this contribution, starting classical we make general treatment recovery loss immunity terms. We present oscillation diagrams (amplitude period) terms showing how can be destabilized by shape distributions two characteristic (infectious immune) times. made delay equations which both numerically integrated linearized. Results simulations included where support linear analysis explaining why not do not. Considerations comparison with real diseases presented along.