Volume 14 No 1 (2016)
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IMPACT OF AWARENESS ON THE SPREAD OF HIV INFECTION WITH DELAY EFFECT
Nareshkumar C. Chavda, Ramesh S Damor, Ashish A Prajapati
Abstract
In this paper, a non-linear mathematical model is proposed to study the impact of awareness on the dynamics of HIV. It is assumed that due to awareness susceptible are taking necessary care to avoid the contact with HIV infected while infected population are isolated to prevent contact for the further spread of disease. It is assumed that the susceptible and infected classes are becoming aware at different rates. The non-linear compartmental model is analyzed by using the stability theory of differential equations and numerical simulation.This results in dual impact on the susceptible as well as infected population. Then delay effect is taken into account in order to achieve a better compatibility with reality. Consdiering delay as bifurcation parameter the possibility of periodic solution is considered.
Keywords
Awareness, Basic reproduction number, Stability.
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