Different types of backward bifurcations on account of an improvement in treatment efficiency

Abstract

Understanding why there are multiple equilibrium points when R0 1. In this work, an SIR model with a density-dependent treatment rate is analyzed. The nature of the point where backward bifurcation emerges is explained in function of the velocity of the per-capita treatment rate. Strategies for the control or eradication of the disease will be proposed in function of the efficiency of the treatment.

Keywords

• Backward bifurcation
• forward bifurcation
• treatment
• SIR model