AN SIS INFECTION MODEL INCORPORATING MEDIA COVERAGE

作者：Cui Jing An^*; Tao Xin; Zhu Huaiping

来源：Rocky Mountain Journal of Mathematics, 2008, 38(5): 1323-1334.

DOI：10.1216/RMJ-2008-38-5-1323

• SIS infection model
• media coverage
• basic reproduction number
• global stability

We develop a model to explore the impact of media coverage on the control of spreading of emerging or reemerging infectious diseases in a given population. The model can have up to two equilibria: a disease free equilibrium and a unique endemic equilibrium. Stability analysis of the model shows that the disease free equilibrium is globally asymptotically stable if the reproduction number R(0) is less than unity, and the endemic equilibrium is globally asymptotically stable when it exists. Though the media coverage itself is not a determined fact to eradicate the infection of the diseases, the analysis of model indicates that, to a certain extent, the more media coverage in a given population, the less number of individuals will be infected. Therefore, media coverage is critical for educating people in understanding the possibility of being infected by the disease.

• 出版日期2008
• 单位南京师范大学