Poisson integral type quarantine in a stochastic SIR system.

Lyapunov function SIR model numerical simulation stochastic process stochastic stability

Journal

Mathematical biosciences and engineering : MBE
ISSN: 1551-0018
Titre abrégé: Math Biosci Eng
Pays: United States
ID NLM: 101197794

Informations de publication

Date de publication:
14 08 2020
Historique:
entrez: 30 10 2020
pubmed: 31 10 2020
medline: 22 6 2021
Statut: ppublish

Résumé

We propose a SIR system that includes a Poisson measure term to model the quarantine of infected individuals. An inequality concerning the term representing the transmission rate is given to establish the stochastic stability of the disease free equilibrium. It is further shown that if R

Identifiants

pubmed: 33120564
doi: 10.3934/mbe.2020297
doi:

Types de publication

Journal Article

Langues

eng

Sous-ensembles de citation

IM

Pagination

5534-5544

Auteurs

Andrew Vlasic (A)

Department of Mathematics and Statistics, Queen's University, 48 University Ave, Jeffery Hall Kingston, ON, Canada, K7L 3N6.

Troy Day (T)

Department of Mathematics and Statistics, Queen's University, 48 University Ave, Jeffery Hall Kingston, ON, Canada, K7L 3N6.

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Classifications MeSH