Dynamic Behaviors of Equilibrium Solution to an Age-Structured Epidemic Model for Monitoring and Control of HIV/AIDS

Abstract

In this paper, the dynamic behaviors, such as local asymptotic stability and global asymptotic stability of a continuous SUI epidemic model with chronological age and infection age for HIV/AIDS are discussed. The theoretical results of the paper indicate that HIV/AIDS diseases can be eradicated theoretically when the reasonable measures are taken to guarantee the conditions to be satisfied and the vertical transmission of HIV/AIDS diseases can be cut off. The results help us to interpret the importance of monitoring and control of HIV/AIDS. According to our theoretical results, everyone of us should be optimistic and be full of confidence in the monitoring and control of HIV/AIDS epidemic although no infected individuals can be cured and obtain the immunity to HIV/AIDS epidemic till now.