Impact of Opinion on Disease Transmission With Waterborne Pathogen and Stubborn Community

Abstract

How to control the spread of disease is a challenging problem for human beings, and one of the main reasons is the diversity of disease transmission pathways. Besides, the existing literature shows that community’s opinion plays an important role in controlling the spread of disease. However, the influence of opinions on disease transmission with a waterborne pathogen is unclear. In this letter, we propose a nonlinear dynamic system to analyze the impact of the opinion on disease transmission with a waterborne pathogen and stubborn community. The criteria for determining the global and local stability of the proposed dynamic system are established, respectively. Based on the real data and Email-Eu-Core network, our proposed dynamic system is utilized to show that only the proportion of infected individuals decreased, but diseases and a waterborne pathogen did not disappear, which is completely different from the existing result that the disease disappeared when stubborn communities are introduced.