An SIR epidemic model with partial temporary immunity modeled with delay

摘要: The SIR epidemic model for disease dynamics considers recovered individuals to be permanently immune, while the SIS immediately resusceptible. We study case of temporary immunity in an SIR-based with delayed coupling between susceptible and removed classes, which results a coupled set delay differential equations. find conditions endemic steady state becomes unstable periodic outbreaks. then use analytical numerical bifurcation analysis describe how severity period outbreaks depend on parameters.