Flow, Wind, and Stochastic Connectivity Modeling Infectious Diseases
We study in this paper the trends of the evolution of different infections using a SIR flow (first-order ODE system), completed by a differential inclusion, a geodesic motion in a gyroscopic field of forces, and a stochastic SIR perturbation of the flow (Itô ODE system). We are interested in mathema...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/6395410 |
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| author | C. Udriste I. Tevy A. S. Rasheed |
| author_facet | C. Udriste I. Tevy A. S. Rasheed |
| author_sort | C. Udriste |
| collection | DOAJ |
| description | We study in this paper the trends of the evolution of different infections using a SIR flow (first-order ODE system), completed by a differential inclusion, a geodesic motion in a gyroscopic field of forces, and a stochastic SIR perturbation of the flow (Itô ODE system). We are interested in mathematical analysis, bringing new results on studied evolutionary models: infection flow together with a differential inclusion, bounds of evolution, dual description of disease evolution, log-optimal and rapid path, epidemic wind (geometric dynamics), stochastic equations of evolution, and stochastic connectivity. We hope that the paper will be a guideline for strategizing optimal sociopolitical countermeasures to mitigate infectious diseases. |
| format | Article |
| id | doaj-art-5a6486e0b025465db06f93b61b6c5917 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-5a6486e0b025465db06f93b61b6c59172025-02-03T01:24:49ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/63954106395410Flow, Wind, and Stochastic Connectivity Modeling Infectious DiseasesC. Udriste0I. Tevy1A. S. Rasheed2Academy of Romanian Scientists, Ilfov 3, 050044 Bucharest, RomaniaUniversity Politehnica of Bucharest, Department of Mathematics & Informatics, Splaiul Independentei 313, 060042 Bucharest, RomaniaUniversity Politehnica of Bucharest, Department of Mathematics & Informatics, Splaiul Independentei 313, 060042 Bucharest, RomaniaWe study in this paper the trends of the evolution of different infections using a SIR flow (first-order ODE system), completed by a differential inclusion, a geodesic motion in a gyroscopic field of forces, and a stochastic SIR perturbation of the flow (Itô ODE system). We are interested in mathematical analysis, bringing new results on studied evolutionary models: infection flow together with a differential inclusion, bounds of evolution, dual description of disease evolution, log-optimal and rapid path, epidemic wind (geometric dynamics), stochastic equations of evolution, and stochastic connectivity. We hope that the paper will be a guideline for strategizing optimal sociopolitical countermeasures to mitigate infectious diseases.http://dx.doi.org/10.1155/2021/6395410 |
| spellingShingle | C. Udriste I. Tevy A. S. Rasheed Flow, Wind, and Stochastic Connectivity Modeling Infectious Diseases Complexity |
| title | Flow, Wind, and Stochastic Connectivity Modeling Infectious Diseases |
| title_full | Flow, Wind, and Stochastic Connectivity Modeling Infectious Diseases |
| title_fullStr | Flow, Wind, and Stochastic Connectivity Modeling Infectious Diseases |
| title_full_unstemmed | Flow, Wind, and Stochastic Connectivity Modeling Infectious Diseases |
| title_short | Flow, Wind, and Stochastic Connectivity Modeling Infectious Diseases |
| title_sort | flow wind and stochastic connectivity modeling infectious diseases |
| url | http://dx.doi.org/10.1155/2021/6395410 |
| work_keys_str_mv | AT cudriste flowwindandstochasticconnectivitymodelinginfectiousdiseases AT itevy flowwindandstochasticconnectivitymodelinginfectiousdiseases AT asrasheed flowwindandstochasticconnectivitymodelinginfectiousdiseases |