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EXISTENCE OF TRAVELING WAVES OF A DIFFUSIVE SUSCEPTIBLE-INFECTED-SYMPTOMATIC-RECOVERED EPIDEMIC MODEL WITH TEMPORAL DELAY

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dc.creatorLUIS MIGUEL VILLADA OSORIO
dc.date2024
dc.date.accessioned2025-01-10T15:44:48Z
dc.date.available2025-01-10T15:44:48Z
dc.date.issued2024
dc.description.abstractTHE 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 ( E E ) AND DISEASE-FREE ( E 0 ) 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 R 0 , 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.
dc.formatapplication/pdf
dc.identifier.doi10.3390/math12050710
dc.identifier.issn2227-7390
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13466
dc.languagespa
dc.publisherMATHEMATICS
dc.relation.uri10.3390/math12050710
dc.rightsPUBLICADA
dc.subjecttraveling wave solutions
dc.subjectSARS-CoV-2 virus
dc.subjectdiscrete-time delay
dc.subjectdiffusive mathematical models
dc.titleEXISTENCE OF TRAVELING WAVES OF A DIFFUSIVE SUSCEPTIBLE-INFECTED-SYMPTOMATIC-RECOVERED EPIDEMIC MODEL WITH TEMPORAL DELAY
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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