Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates (Articolo in rivista)

Type

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

Label

• Stability analysis of delayed 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

• Enatsu, Y.; Messina, E.; Muroya, Y.; Nakata; Y., Russo; E., Vecchio, A. (2012)
  Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates
  in Applied mathematics and computation
  (literal)

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

• Enatsu, Y.; Messina, E.; Muroya, Y.; Nakata; Y., Russo; E., Vecchio, A. (literal)

Pagina inizio

• 5327 (literal)

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

• 218 (literal)

Rivista

• Applied mathematics and computation (Rivista)

Note

• Scopus (literal)
• Google Scholar (literal)
• athematical Reviews on the web (MathSciNet) (literal)
• ISI Web of Science (WOS) (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 Mwssina,Russo; Dipartimento di Matematica e Applicazioni, Universit Degli Studi di Napoli Federico II, Via Cintia, I-80126 Napoli, Italy Muroya; Department of 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 Vecchio; Ist. per Appl. Del Calcolo M. Picone, Sede di Napoli, CNR, Via P. Castellino, 111-80131 Napoli, Italy (literal)

Titolo

• Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates (literal)

Abstract

• We analyze stability of equilibria for a delayed SIR epidemic model, in which population growth is subject to logistic growth in absence of disease, with a nonlinear incidence rate satisfying suitable monotonicity conditions. The model admits a unique endemic equilibrium if and only if the basic reproduction number R 0 exceeds one, while the trivial equilibrium and the disease-free equilibrium always exist. First we show that the disease-free equilibrium is globally asymptotically stable if and only if R 0 <= 1. Second we show that the model is permanent if and only if R 0 > 1. Moreover, using a threshold parameter R 0 characterized by the nonlinear incidence function, we establish that the endemic equilibrium is locally asymptotically stable for 1< R0<=R 0 and it loses stability as the length of the delay increases past a critical value for 1

Prodotto di

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

Autore CNR

• ANTONIA VECCHIO (Unità di personale interno)

Insieme di parole chiave

• Parole chiave di "Stability analysis of delayed 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

• Applied mathematics and computation (Rivista)

Insieme di parole chiave di

• Parole chiave di "Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates" (Insieme di parole chiave)