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A Mathematical Model to Control the Prevalence of a Directly and Indirectly Transmitted Disease

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A Mathematical Model to Control the Prevalence of a Directly and Indirectly Transmitted Disease

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dc.contributor.author Cantó Colomina, Begoña es_ES
dc.contributor.author Coll, Carmen es_ES
dc.contributor.author Pagán Moreno, Mª Jesús es_ES
dc.contributor.author Poveda, Joan es_ES
dc.contributor.author Sánchez, Elena es_ES
dc.date.accessioned 2022-05-03T18:04:15Z
dc.date.available 2022-05-03T18:04:15Z
dc.date.issued 2021-10 es_ES
dc.identifier.uri http://hdl.handle.net/10251/182380
dc.description.abstract [EN] In this paper, a mathematical model to describe the spread of an infectious disease on a farm is developed. To analyze the evolution of the infection, the direct transmission from infected individuals and the indirect transmission from the bacteria accumulated in the enclosure are considered.A threshold value of population is obtained to assure the extinction of the disease. When this size of population is exceeded, two control procedures to apply at each time are proposed. For each of them, a maximum number of steps without control and reducing the prevalence of disease is obtained. In addition, a criterion to choose between both procedures is established. Finally, the results are numerically simulated for a hypothetical outbreak on a farm. es_ES
dc.language Inglés es_ES
dc.publisher MDPI AG es_ES
dc.relation.ispartof Mathematics es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Epidemic model es_ES
dc.subject Direct and indirect transmission es_ES
dc.subject Discrete-time system es_ES
dc.subject Stability es_ES
dc.subject Control es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.subject.classification TECNOLOGIA DE ALIMENTOS es_ES
dc.title A Mathematical Model to Control the Prevalence of a Directly and Indirectly Transmitted Disease es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3390/math9202562 es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Tecnología de Alimentos - Departament de Tecnologia d'Aliments es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Cantó Colomina, B.; Coll, C.; Pagán Moreno, MJ.; Poveda, J.; Sánchez, E. (2021). A Mathematical Model to Control the Prevalence of a Directly and Indirectly Transmitted Disease. Mathematics. 9(20):1-15. https://doi.org/10.3390/math9202562 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3390/math9202562 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 15 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 9 es_ES
dc.description.issue 20 es_ES
dc.identifier.eissn 2227-7390 es_ES
dc.relation.pasarela S\447215 es_ES
upv.costeAPC 1298,47 es_ES


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