Coupling Epidemiological Models with Social Dynamics
| Autor: | Nicolas Saintier, Carlo Giambiagi Ferrari, Juan Pablo Pinasco |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Opinion dynamic
0301 basic medicine Work (thermodynamics) Reproduction number Computer science 82B21 General Mathematics Immunology Social interactions 92D25 Stability (probability) General Biochemistry Genetics and Molecular Biology Epidemic models 03 medical and health sciences Level of Effort 0302 clinical medicine Simple (abstract algebra) Econometrics Humans Epidemics Set (psychology) Probability General Environmental Science Pharmacology General Neuroscience 91C20 Mathematical Concepts Coupling (probability) Social dynamics 030104 developmental biology Computational Theory and Mathematics 030220 oncology & carcinogenesis Ordinary differential equation Original Article Epidemiological Models General Agricultural and Biological Sciences |
| Zdroj: | Bulletin of Mathematical Biology |
| ISSN: | 1522-9602 0092-8240 |
| DOI: | 10.1007/s11538-021-00910-7 |
| Popis: | In this work we study a Susceptible-Infected-Susceptible model coupled with a continuous opinion dynamics model. We assume that each individual can take measures to reduce the probability of contagion, and the level of effort each agent applies can change due to social interactions. We propose simple rules to model the propagation of behaviors that modify the level of effort, and analyze their impact on the dynamics of the disease. We derive a two dimensional set of ordinary differential equations describing the dynamic of the proportion of the number of infected individuals and the mean value of the effort parameter, and analyze the equilibria of the system. The stability of the endemic phase and disease free equilibria depends only on the mean value of the levels of efforts, and not on the initial distribution of levels of effort. |
| Databáze: | OpenAIRE |
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