Discrete Models of Disease and Competition
The aim of this work is to analyze the influence of the fast development of a disease on competition dynamics. To this end we present two discrete time ecoepidemic models. The first one corresponds to the case of one parasite affecting demography and intraspecific competition in a single host, where...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/5310837 |
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| _version_ | 1832551988879949824 |
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| author | R. Bravo de la Parra M. Marvá E. Sánchez L. Sanz |
| author_facet | R. Bravo de la Parra M. Marvá E. Sánchez L. Sanz |
| author_sort | R. Bravo de la Parra |
| collection | DOAJ |
| description | The aim of this work is to analyze the influence of the fast development of a disease on competition dynamics. To this end we present two discrete time ecoepidemic models. The first one corresponds to the case of one parasite affecting demography and intraspecific competition in a single host, whereas the second one contemplates the more complex case of competition between two different species, one of which is infected by the parasite. We carry out a complete mathematical analysis of the asymptotic behavior of the solutions of the corresponding systems of difference equations and derive interesting ecological information about the influence of a disease in competition dynamics. This includes an assessment of the impact of the disease on the equilibrium population of both species as well as some counterintuitive behaviors in which although we would expect the outbreak of the disease to negatively affect the infected species, the contrary happens. |
| format | Article |
| id | doaj-art-f36ad61033544991b4c16b010c6016d2 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-f36ad61033544991b4c16b010c6016d22025-02-03T06:00:01ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/53108375310837Discrete Models of Disease and CompetitionR. Bravo de la Parra0M. Marvá1E. Sánchez2L. Sanz3U.D. Matemáticas, Universidad de Alcalá, 28871 Alcalá de Henares, SpainU.D. Matemáticas, Universidad de Alcalá, 28871 Alcalá de Henares, SpainDepartamento de Matemática Aplicada, ETSI Industriales, Universidad Politécnica de Madrid, 28006 Madrid, SpainDepartamento de Matemática Aplicada, ETSI Industriales, Universidad Politécnica de Madrid, 28006 Madrid, SpainThe aim of this work is to analyze the influence of the fast development of a disease on competition dynamics. To this end we present two discrete time ecoepidemic models. The first one corresponds to the case of one parasite affecting demography and intraspecific competition in a single host, whereas the second one contemplates the more complex case of competition between two different species, one of which is infected by the parasite. We carry out a complete mathematical analysis of the asymptotic behavior of the solutions of the corresponding systems of difference equations and derive interesting ecological information about the influence of a disease in competition dynamics. This includes an assessment of the impact of the disease on the equilibrium population of both species as well as some counterintuitive behaviors in which although we would expect the outbreak of the disease to negatively affect the infected species, the contrary happens.http://dx.doi.org/10.1155/2017/5310837 |
| spellingShingle | R. Bravo de la Parra M. Marvá E. Sánchez L. Sanz Discrete Models of Disease and Competition Discrete Dynamics in Nature and Society |
| title | Discrete Models of Disease and Competition |
| title_full | Discrete Models of Disease and Competition |
| title_fullStr | Discrete Models of Disease and Competition |
| title_full_unstemmed | Discrete Models of Disease and Competition |
| title_short | Discrete Models of Disease and Competition |
| title_sort | discrete models of disease and competition |
| url | http://dx.doi.org/10.1155/2017/5310837 |
| work_keys_str_mv | AT rbravodelaparra discretemodelsofdiseaseandcompetition AT mmarva discretemodelsofdiseaseandcompetition AT esanchez discretemodelsofdiseaseandcompetition AT lsanz discretemodelsofdiseaseandcompetition |