Analysis of an epidemic model with awareness programs by media on complex networks |
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| Institution: | 1. College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;2. School of Computing, Engineering and Mathematics, Western Sydney University, Penrith NSW 2751, Australia;3. School of Economics & Management, Southeast University, Nanjing 210096, China;4. School of Mathematics, Southeast University, Nanjing 210096, China;1. Departmento de Obras Civiles, Universidad Tecnica Federico Santa Maria, Av. España 1680, Valparaiso, Chile;2. Sonny Astani Department of Civil and Environmental Engineering, University of Southern California, 3620 S. Vermont Avenue, KAP 210, Los Angeles, CA 90089-2531, USA |
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| Abstract: | In this paper, we propose an epidemic disease model about the effect of awareness programs on complex networks, where the contacts between nodes are treated as a social network. Two forms on increasing rate of awareness programs, which are a constant and the change with the number of infected individuals, are analyzed. Through dynamical analysis, we obtain the basic reproduction number R0 and prove the stability of disease-free equilibrium and endemic equilibrium. Furthermore, numerical simulations about the model are taken to reach that, on the one hand, the two forms, which are increasing rate of awareness programs, respectively, have advantages and disadvantages on preventing and controlling diseases, and they are complementary; on the other hand, awareness programs have more effects on nodes with smaller degrees. |
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