Modeling Vaccination and Treatment of HTV/AIDS Epidemics in an Age-Structured Population A

Date

2011-10-10

Journal Title

Journal ISSN

Volume Title

Publisher

Department of Mathematics, Nasarawa State University Keffi

Abstract

We proposed a deterministic age- structured vaccination and treatment model of HIV and AIDS, along the line oflvlcCamy - Foester age-structured population model, with structured population. compartments and-class dependent Activity level (interaction functions), per-capital force of infection, natural mortality rate and disease • induced death rate . The models equations Are reduced to ordinary differential equations. Their, steady state solutions are obtained and examined for local stability. The, disease-free state is found to be stable if vaccination and removal rates are simultaneously maximized. This will lend to a corresponding decrease in the size of HIV infected individuals and the number of infected cases progressing to AIDS.

Description

Keywords

Vaccination, treatment, HIV/AIDS, population.

Citation

Umar, M.A. (2011). Modeling Vaccination and Treatment of HTV/AIDS Epidemics in an Age-Structured Population A

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