An Endemic Model With Saturation Recovery

When a severely infectious disease take the world by surprise, it will bring an explosive surge in the number of illness. The number of illness need to be treated in hospitals may exceed the carry capacity of local hospitals.We propose an epidemic model with saturation recovery from infective individuals to understand the effect of limited resources for treatment of infectives on the emergency disease control.It is shown that saturation recovery from infective individuals lead to vital dynamics, such as bistability and periodicity, when the basic reproduction number Ro is less than unity. Among interesting dynamical behaviors of the model is a backward bifurcation which raises many new challenges to effective infection control.The threshold for SIR epidemic is obtained.