A Time Scales Approach to Coinfection by Opportunistic Diseases
Traditional biomedical approaches treat diseases in isolation, but the importance of synergistic disease interactions is now recognized. As a first step we present and analyze a simple coinfection model for two diseases simultaneously affecting a population. The host population is affected by the pr...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/275485 |
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| author | Marcos Marvá Ezio Venturino Rafael Bravo de la Parra |
| author_facet | Marcos Marvá Ezio Venturino Rafael Bravo de la Parra |
| author_sort | Marcos Marvá |
| collection | DOAJ |
| description | Traditional biomedical approaches treat diseases in isolation, but the importance of synergistic disease interactions is now recognized. As a first step we present and analyze a simple coinfection model for two diseases simultaneously affecting a population. The host population is affected by the primary disease, a long-term infection whose dynamics is described by a SIS model with demography, which facilitates individuals acquiring a second disease, secondary (or opportunistic) disease. The secondary disease is instead a short-term infection affecting only the primary infected individuals. Its dynamics is also represented by a SIS model with no demography. To distinguish between short- and long-term infection the complete model is written as a two-time-scale system. The primary disease acts at the slow time scale while the secondary disease does at the fast one, allowing a dimension reduction of the system and making its analysis tractable. We show that an opportunistic disease outbreak might change drastically the outcome of the primary epidemic process, although it does among the outcomes allowed by the primary disease. We have found situations in which either acting on the opportunistic disease transmission or recovery rates or controlling the susceptible and infected population size allows eradicating/promoting disease endemicity. |
| format | Article |
| id | doaj-art-59d53d3522814a39bcef5bad51d37922 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-59d53d3522814a39bcef5bad51d379222025-02-03T07:25:33ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/275485275485A Time Scales Approach to Coinfection by Opportunistic DiseasesMarcos Marvá0Ezio Venturino1Rafael Bravo de la Parra2Departamento de Física y Matemáticas, Universidad de Alcalá, 28871 Alcalá de Henares, SpainDipartimento di Matematica “Giuseppe Peano”, Università di Torino, Via Carlo Alberto 10, 10123 Torino, ItalyDepartamento de Física y Matemáticas, Universidad de Alcalá, 28871 Alcalá de Henares, SpainTraditional biomedical approaches treat diseases in isolation, but the importance of synergistic disease interactions is now recognized. As a first step we present and analyze a simple coinfection model for two diseases simultaneously affecting a population. The host population is affected by the primary disease, a long-term infection whose dynamics is described by a SIS model with demography, which facilitates individuals acquiring a second disease, secondary (or opportunistic) disease. The secondary disease is instead a short-term infection affecting only the primary infected individuals. Its dynamics is also represented by a SIS model with no demography. To distinguish between short- and long-term infection the complete model is written as a two-time-scale system. The primary disease acts at the slow time scale while the secondary disease does at the fast one, allowing a dimension reduction of the system and making its analysis tractable. We show that an opportunistic disease outbreak might change drastically the outcome of the primary epidemic process, although it does among the outcomes allowed by the primary disease. We have found situations in which either acting on the opportunistic disease transmission or recovery rates or controlling the susceptible and infected population size allows eradicating/promoting disease endemicity.http://dx.doi.org/10.1155/2015/275485 |
| spellingShingle | Marcos Marvá Ezio Venturino Rafael Bravo de la Parra A Time Scales Approach to Coinfection by Opportunistic Diseases Journal of Applied Mathematics |
| title | A Time Scales Approach to Coinfection by Opportunistic Diseases |
| title_full | A Time Scales Approach to Coinfection by Opportunistic Diseases |
| title_fullStr | A Time Scales Approach to Coinfection by Opportunistic Diseases |
| title_full_unstemmed | A Time Scales Approach to Coinfection by Opportunistic Diseases |
| title_short | A Time Scales Approach to Coinfection by Opportunistic Diseases |
| title_sort | time scales approach to coinfection by opportunistic diseases |
| url | http://dx.doi.org/10.1155/2015/275485 |
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