A delay differential equations model for disease transmisión dynamics
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| Autoři: | , , |
|---|---|
| Médium: | artículo original |
| Stav: | Versión publicada |
| Datum vydání: | 2019 |
| Popis: | A delay differential equations epidemic model of SIQR (SusceptibleInfective-Quarantined-Recovered) type, with arbitrarily distributed periods in the isolation or quarantine class, is proposed. Its essential mathematical features are analyzed. In addition, conditions that support the existence of periodic solutions via Hopf bifurcation are identified. Nonexponential waiting times in the quarantine/isolation class lead not only to oscillations but can also support stability switches. |
| Země: | Portal de Revistas UCR |
| Instituce: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Jazyk: | Inglés |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/39948 |
| On-line přístup: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/39948 |
| Klíčové slovo: | delay differential equation integro-differential equation epidemic model quarantine stability switch oscillations stage structure ecuación diferencial con retraso ecuación integro-diferencial modelo epidémico cuarentena cambio de estabilidad oscilaciones estructura por etapas |