Different types of backward bifurcations on account of an improvement in treatment efficiency
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| Format: | Artículo científico |
| Language: | en |
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Universidad Industrial de Santander
2018
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| author | Shaday Guerrero-Flores |
| author_facet | Shaday Guerrero-Flores |
| contents | Different types of backward bifurcations on account of an improvement in treatment efficiency Shaday Guerrero-Flores Osvaldo Osuna Geiser Villavicencio-Pulido Física, Astronomía y Matemáticas treatment SIR model forward bifurcation Backward bifurcation Understanding why there are multiple equilibrium points when R 0 < 1 has been one of the main motivations to analyze existence of a backward bifurcation in epidemiological models. Existence of multiple endemic states is usually associated to branches of equilibrium points of the models, which could arise from either the disease-free equilibrium point if R 0 = 1 or from an endemic equilibrium point if R 0 > 1. In this work, an SIR model with a density-dependent treatment rate is analyzed. The nature of the point where backward bifurcation emerges is explained in function of the velocity of the per-capita treatment rate. Strategies for the control or eradication of the disease will be proposed in function of the efficiency of the treatment. MSC2010: 34C23, 34C40, 34C55, 34C60, 92D30. 2018 artículo científico 0120-419X https://www.redalyc.org/articulo.oa?id=327059470002 https://www.redalyc.org/journal/3270/327059470002/ https://www.redalyc.org/journal/3270/327059470002/html/ https://www.redalyc.org/journal/3270/327059470002/327059470002.epub https://www.redalyc.org/journal/3270/327059470002/movil 10.18273/revint.v36n1-2018002 en http://www.redalyc.org/revista.oa?id=3270 Revista Integración application/pdf Universidad Industrial de Santander Revista Integración (Colombia) Num.1 Vol.36 |
| format | Artículo científico |
| id | redalyc_327059470002 |
| institution | Redalyc |
| language | en |
| publishDate | 2018 |
| publisher | Universidad Industrial de Santander |
| spellingShingle | Different types of backward bifurcations on account of an improvement in treatment efficiency Shaday Guerrero-Flores Física, Astronomía y Matemáticas treatment SIR model forward bifurcation Backward bifurcation Different types of backward bifurcations on account of an improvement in treatment efficiency Shaday Guerrero-Flores Osvaldo Osuna Geiser Villavicencio-Pulido Física, Astronomía y Matemáticas treatment SIR model forward bifurcation Backward bifurcation Understanding why there are multiple equilibrium points when R 0 < 1 has been one of the main motivations to analyze existence of a backward bifurcation in epidemiological models. Existence of multiple endemic states is usually associated to branches of equilibrium points of the models, which could arise from either the disease-free equilibrium point if R 0 = 1 or from an endemic equilibrium point if R 0 > 1. In this work, an SIR model with a density-dependent treatment rate is analyzed. The nature of the point where backward bifurcation emerges is explained in function of the velocity of the per-capita treatment rate. Strategies for the control or eradication of the disease will be proposed in function of the efficiency of the treatment. MSC2010: 34C23, 34C40, 34C55, 34C60, 92D30. 2018 artículo científico 0120-419X https://www.redalyc.org/articulo.oa?id=327059470002 https://www.redalyc.org/journal/3270/327059470002/ https://www.redalyc.org/journal/3270/327059470002/html/ https://www.redalyc.org/journal/3270/327059470002/327059470002.epub https://www.redalyc.org/journal/3270/327059470002/movil 10.18273/revint.v36n1-2018002 en http://www.redalyc.org/revista.oa?id=3270 Revista Integración application/pdf Universidad Industrial de Santander Revista Integración (Colombia) Num.1 Vol.36 |
| title | Different types of backward bifurcations on account of an improvement in treatment efficiency |
| topic | Física, Astronomía y Matemáticas treatment SIR model forward bifurcation Backward bifurcation |
| url | https://www.redalyc.org/articulo.oa?id=327059470002 https://www.redalyc.org/journal/3270/327059470002/ https://www.redalyc.org/journal/3270/327059470002/html/ https://www.redalyc.org/journal/3270/327059470002/327059470002.epub https://www.redalyc.org/journal/3270/327059470002/movil |