Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates (Articolo in rivista)

Type

• Prodotto della ricerca (Classe)
• Articolo in rivista (Classe)

Label

• Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates (Articolo in rivista) (literal)

Anno

• 2012-01-01T00:00:00+01:00 (literal)

Alternative label

• Y. Enatsu; Y. Nakata; Y.Muroya; G.Izzo; A.Vecchio, (2012)
  Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates
  in Journal of difference equations and applications (Print)
  (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

• Y. Enatsu; Y. Nakata; Y.Muroya; G.Izzo; A.Vecchio, (literal)

Pagina inizio

• 1163 (literal)

Pagina fine

• 1181 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

• 18 (literal)

Rivista

• Journal of difference equations and applications (Rivista)

Note

• ISI Web of Science (WOS) (literal)
• Scopu (literal)
• athematical Reviews on the web (MathSciNet) (literal)
• Google Scholar (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

• Enatsu, Department of Pure and Applied Mathematics, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo, 169-8555, Japan Nakata, Basque Center for Applied Mathematics, Bizkaia Technology Park, Building 500, E-48160, Derio, Spain Muroya, Department of Mathematics, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo, 169-8555, Japan Izzo, Dipartimento di Matematica e Applicazioni R. Caccioppoli, Università degli Studi di Napoli Federico II, Via Cintia, Monte S. Angelo, I-80126, Napoli, Italy Vecchio, Istituto per le Applicazioni del Calcolo M. Picone, Sede di Napoli, CNR, Via P. Castellino, 111, 80131, Napoli, Italy (literal)

Titolo

• Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates (literal)

Abstract

• In this paper, by applying a variation of the backward Euler method, we propose a discrete-time SIR epidemic model whose discretization scheme preserves the global asymptotic stability of equilibria for a class of corresponding continuous-time SIR epidemic models. Using discrete-time analogue of Lyapunov functionals, the global asymptotic stability of the equilibria is fully determined by the basic reproduction number, when the infection incidence rate has a suitable monotone property. (literal)

Prodotto di

• Istituto per le applicazioni del calcolo \"Mauro Picone\" (IAC) (Istituto)
• Analisi numerica di equazioni integrali ed integro-differenziali non lineari in ambito biologico ed ingegneristico (ICT.P11.007.002) (Modulo)

Autore CNR

• ANTONIA VECCHIO (Unità di personale interno)

Insieme di parole chiave

• Keywords of "Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates" (Insieme di parole chiave)

Incoming links:

Prodotto

• Istituto per le applicazioni del calcolo \"Mauro Picone\" (IAC) (Istituto)
• Analisi numerica di equazioni integrali ed integro-differenziali non lineari in ambito biologico ed ingegneristico (ICT.P11.007.002) (Modulo)

Autore CNR di

• ANTONIA VECCHIO (Unità di personale interno)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi

• Journal of difference equations and applications (Rivista)

Insieme di parole chiave di

• Keywords of "Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates" (Insieme di parole chiave)