About: Mathematical analysis of a disease-resistant model with imperfect vaccine, quarantine and treatment

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: Mathematical analysis of a disease-resistant model with imperfect vaccine, quarantine and treatment Goto Sponge NotDistinct Permalink

An Entity of Type : schema:ScholarlyArticle, within Data Space : wasabi.inria.fr associated with source document(s)

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
title	Mathematical analysis of a disease-resistant model with imperfect vaccine, quarantine and treatment
Creator	Musa, B Parumasur, Nabendra Rabiu, Musa Willie, Robert
source	PMC
abstract	In this paper, we develop a new disease-resistant mathematical model with a fraction of the susceptible class under imperfect vaccine and treatment of both the symptomatic and quarantine classes. With standard incidence when the associated reproduction threshold is less than unity, the model exhibits the phenomenon of backward bifurcation, where a stable disease-free equilibrium co-exists with a stable endemic equilibrium. It is then proved that this phenomenon vanishes either when the vaccine is assumed to be 100% potent and perfect or the Standard Incidence is replaced with a Mass Action Incidence in the model development. Furthermore, the model has a unique endemic and disease-free equilibria. Using a suitable Lyapunov function, the endemic equilibrium and disease free equilibrium are proved to be globally-asymptotically stable depending on whether the control reproduction number is less or greater than unity. Some numerical simulations are presented to validate the analytic results.
has issue date	2020-03-06(xsd:dateTime)
bibo:doi	10.1007/s11587-020-00496-7
has license	no-cc
sha1sum (hex)	daf9937f2a41a003f8127ae952d8196c4a95e2ab
schema:url	https://doi.org/10.1007/s11587-020-00496-7
resource representing a document's title	Mathematical analysis of a disease-resistant model with imperfect vaccine, quarantine and treatment
has PubMed Central identifier	PMC7149030
resource representing a document's body	covid:daf9937f2a41a003f8127ae952d8196c4a95e2ab#body_text
is schema:about of	named entity 'equilibria' named entity 'stable' named entity 'development' named entity 'model' named entity 'Mass' named entity 'bifurcation' named entity 'reproduction' named entity 'threshold' named entity 'mathematical model' named entity 'vanishes' named entity 'validate' named entity 'paper' named entity 'endemic equilibrium' named entity 'asymptotically stable' named entity 'mathematical model' named entity 'perfect' named entity 'reproduction number' named entity 'linear equation' named entity 'vaccine' named entity 'endemic equilibrium' named entity 'reproduction number' named entity 'vaccine' named entity 'reproduction number' named entity 'endemic' named entity 'force of infection' named entity 'immune response' named entity 'HIV/AIDS' named entity 'Infectious diseases' named entity 'bifurcation analysis' named entity 'human population' named entity 'mathematical models' named entity 'force of infection' named entity 'vaccination' named entity 'vaccination' named entity 'infectious disease' named entity 'epidemiologically' named entity 'Gronwall' named entity 'vaccine' named entity 'asymptotically stable' named entity 'death rate' named entity 'virus transmission' named entity 'endemic' named entity 'endemic equilibrium' named entity 'Jacobian' named entity 'asymptomatic' named entity 'vaccination' named entity 'Epidemiological' named entity 'bifurcation diagram' named entity 'influenza virus' named entity 'asymptotic stability' named entity 'symptom' named entity 'public health' named entity 'Lyapunov function' named entity '1, 2' named entity 'Python Programming Language' named entity 'vaccine' named entity 'prevent disease' named entity 'asymptotic stability' named entity 'globally asymptotically stable' named entity '4.2' named entity 'asymptomatic' named entity 'disease transmission' named entity 'infection' named entity 'vaccine' named entity 'therapeutic treatment' named entity 'ordinary differential equations' named entity 'reproduction number' named entity 'disease-free' named entity 'efficacy of the vaccine' named entity 'vaccine' named entity 'disease-free' named entity 'asymptotically stable' named entity 'HIV/AIDS' named entity 'vaccine' named entity 'infectious disease' named entity 'severe acute respiratory syndrome' named entity 'endemic equilibrium' named entity 'endemic equilibrium' named entity 'reproduction number' named entity 'M-matrix' named entity 'endemic'

Faceted Search & Find service v1.13.91 as of Mar 24 2020

Alternative Linked Data Documents: Sponger | ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3229 as of Jul 10 2020, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (94 GB total memory)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2025 OpenLink Software