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dc.contributor.author | Miranda, Julio C. | es_ES |
dc.contributor.author | Arenas, Abraham J. | es_ES |
dc.contributor.author | González-Parra, Gilberto | es_ES |
dc.contributor.author | Villada, Luis Miguel | es_ES |
dc.date.accessioned | 2024-09-06T18:16:02Z | |
dc.date.available | 2024-09-06T18:16:02Z | |
dc.date.issued | 2024-03 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/207594 | |
dc.description.abstract | [EN] The aim of this article is to investigate the existence of traveling waves of a diffusive model that represents the transmission of a virus in a determined population composed of the following populations: susceptible (S), infected (I), asymptomatic (A), and recovered (R). An analytical study is performed, where the existence of solutions of traveling waves in a bounded domain is demonstrated. We use the upper and lower coupled solutions method to achieve this aim. The existence and local asymptotic stability of the endemic (Ee) and disease-free (E0) equilibrium states are also determined. The constructed model includes a discrete-time delay that is related to the incubation stage of a virus. We find the crucial basic reproduction number R0, which determines the local stability of the steady states. We perform numerical simulations of the model in order to provide additional support to the theoretical results and observe the traveling waves. The model can be used to study the dynamics of SARS-CoV-2 and other viruses where the disease evolution has a similar behavior. | es_ES |
dc.description.sponsorship | Support from the University of Córdoba, Colombia, is acknowledged by the second author. Second and fourth authors are supported by project MATH-Amsud 22-MATH-05 NOTION: NOnlocal conservaTION laws for engineering, biological and epidemiological applications: theoretical and numerical . Funding support from the National Institute of General Medical Sciences (P20GM103451) via NM-INBRE is gratefully acknowledged by the third author. The third author also acknowledges funding from Maria Zambrano (UPV, Ministry of Universities of Spain, and the European Union s Next-Generation EU) and support for postdoctoral research from the UPV (PAID-PD-22). | 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 | Diffusive mathematical models | es_ES |
dc.subject | Traveling wave solutions | es_ES |
dc.subject | SARS-CoV-2 virus | es_ES |
dc.subject | Discrete-time delay | es_ES |
dc.title | Existence of Traveling Waves of a Diffusive Susceptible-Infected-Symptomatic-Recovered Epidemic Model with Temporal Delay | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.3390/math12050710 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/NIH/NATIONAL_INSTITUTE_OF_GENERAL_MEDICAL_SCIENCES/2P20GM103451-14/US/New Mexico IDeA Networks of Biomedical Research Excellence (INBRE)/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/UPV//PAID-PD-22/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.description.bibliographicCitation | Miranda, JC.; Arenas, AJ.; González-Parra, G.; Villada, LM. (2024). Existence of Traveling Waves of a Diffusive Susceptible-Infected-Symptomatic-Recovered Epidemic Model with Temporal Delay. Mathematics. 12(5). https://doi.org/10.3390/math12050710 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.3390/math12050710 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 12 | es_ES |
dc.description.issue | 5 | es_ES |
dc.identifier.eissn | 2227-7390 | es_ES |
dc.relation.pasarela | S\521001 | es_ES |
dc.contributor.funder | European Commission | es_ES |
dc.contributor.funder | Universidad de Córdoba, Colombia | es_ES |
dc.contributor.funder | National Institutes of Health, EEUU | es_ES |
dc.contributor.funder | Universitat Politècnica de València | es_ES |