Mathematical Evaluation of the Impact of Awareness on Epidemic Model using Weighted Network

Abstract

The applications of graph theory in the area of networking are of great significance in system analysis of different varieties, including biological systems. In biological systems, the use of networks finds importance in the study of epidemic and its control. A practical example include the evaluation of the spread of disease within human population and the impact of awareness circulating admist the same population as a result of the infection. Agaba et al. in 2017 proposed a mathematical model that analysed the impact of awareness on the spread of infectious diseases. This was done using the stability analyses of the various steady states of the system of equations and also through the evaluation of some numerical simulations. This paper, with the aid of the system of equations developed by Agaba et al., 2017b, studies the impact of awareness spreading simultaneously with an infectious disease within human population using weighted network.