Modeling epidemic in metapopulation networks with heterogeneous diffusion rates
| Autor: | Zheng Guang Li, Yongzheng Sun, Mao Xing Liu, Jie Zhang |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Diffusion
Population Dynamics Metapopulation 02 engineering and technology Communicable Diseases Models Biological Stability (probability) Disease Outbreaks 0502 economics and business 0202 electrical engineering electronic engineering information engineering Humans Computer Simulation Statistical physics Cities Epidemics Population Density Models Statistical Applied Mathematics 05 social sciences General Medicine Traffic flow Computational Mathematics Modeling and Simulation Communicable Disease Control Environmental science 020201 artificial intelligence & image processing Disease Susceptibility General Agricultural and Biological Sciences Epidemic model 050203 business & management |
| Zdroj: | Mathematical Biosciences and Engineering. 16:7085-7097 |
| ISSN: | 1551-0018 |
| Popis: | In this paper, the process of the infectious diseases among cities is studied in metapopulation networks. Based on the heterogeneous diffusion rate, the epidemic model in metapopulation networks is established. The factors affecting diffusion rate are discussed, and the relationship among diffusion rate, connectivity of cities and the heterogeneity parameter of traffic flow is obtained. The existence and stability of the disease-free equilibrium and the endemic equilibrium are analyzed, and epidemic threshold is also obtained. It is shown that the more developed traffic of the city, the greater the diffusion rate, which resulting in the large number of infected individuals; the stronger the heterogeneity of the traffic flow, the greater the threshold of the disease outbreak. Finally, numerical simulations are performed to illustrate the analytical results. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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