Mostrar el registro sencillo de la publicación
Influence of the effective reproduction number on the SIR model with a dynamic transmission rate
| dc.contributor.author | Córdova-Lepe, Fernando | |
| dc.contributor.author | Gutiérrez-Jara, Juan Pablo | |
| dc.contributor.author | Chowell, G. | |
| dc.date.accessioned | 2024-08-07T15:14:58Z | |
| dc.date.available | 2024-08-07T15:14:58Z | |
| dc.date.issued | 2024 | |
| dc.identifier.uri | http://repositorio.ucm.cl/handle/ucm/5596 | |
| dc.description.abstract | In this paper, we examine the epidemiological model B-SIR, focusing on the dynamic law that governs the transmission rate 𝐁. We define this dynamic law by the differential equation 𝐁′/𝐁=𝐅⊕−𝐅⊖ , where 𝐅⊖ represents a reaction factor reflecting the stress proportional to the active group’s percentage variation. Conversely, 𝐅⊕ is a factor proportional to the deviation of 𝐁 from its intrinsic value. We introduce the notion of contagion impulse f and explore its role within the model. Specifically, for the case where 𝐅⊕=0 , we derive an autonomous differential system linking the effective reproductive number with f and subsequently analyze its dynamics. This analysis provides new insights into the model’s behavior and its implications for understanding disease transmission. | es_CL |
| dc.language.iso | en | es_CL |
| dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Chile | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | * |
| dc.source | Mathematics, 12(12), 1793 | es_CL |
| dc.subject | Infection disease | es_CL |
| dc.subject | SIR model | es_CL |
| dc.subject | Variable transmission rate | es_CL |
| dc.subject | COVID-19 | es_CL |
| dc.subject | Mitigation policy | es_CL |
| dc.subject | Human behavior | es_CL |
| dc.title | Influence of the effective reproduction number on the SIR model with a dynamic transmission rate | es_CL |
| dc.type | Article | es_CL |
| dc.ucm.facultad | Facultad de Ciencias Básicas | es_CL |
| dc.ucm.indexacion | Scopus | es_CL |
| dc.ucm.indexacion | Isi | es_CL |
| dc.ucm.uri | mdpi.com/2227-7390/12/12/1793 | es_CL |
| dc.ucm.doi | doi.org/10.3390/math12121793 | es_CL |
Ficheros en la publicación
| Ficheros | Tamaño | Formato | Ver |
|---|---|---|---|
|
No hay ficheros asociados a esta publicación. |
|||
Esta publicación aparece en la(s) siguiente(s) colección(ones)
Excepto si se señala otra cosa, la licencia de la publicación se describe como Atribución-NoComercial-SinDerivadas 3.0 Chile