MATHEMATICAL MODEL ON ANALYSIS OF AWARENESS IN CONTROLLING DENGUE DISEASE.

Dengue is a viral disease transmitted to humans by the bite of infected Aedes mosquitoes. The disease has become a major public health burden in recent years. There is no vaccine and no effective treatment for dengue disease. So, spreading awareness about the disease transmission in people can play a crucial role in controlling the transmission of the disease. Present paper considers an SIR epidemic model to investigate the impact of awareness in controlling the disease. It is assumed that due to awareness, some susceptible hosts do not come in contact with mosquitoes, they use mosquito repellent and take all possible precautions, some infected hosts get isolated so that they do not transmit the disease; and some infected hosts approach the doctor soon and recover fast from the disease. Basic reproduction number which determines whether the disease dies out or takes hold is calculated using next generation matrix method. Local and global stability of disease free equilibrium point of the model are analyzed. Sensitivity analysis of the model is performed to investigate the relative importance of the awareness parameters to the disease transmission.