On the Lyapunov stability for SIRS epidemic models with general nonlinear incidence rate
type: Item
instance of: scholarly article
title: On the Lyapunov stability for SIRS epidemic models with general nonlinear incidence rate
zbMATH Open document ID: 1203.92049
author: B. Buonomo
author: S. Rionero
published in: Applied Mathematics and Computation
publication date: 2011-01-14T00:00:00Z
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34D23
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34D05
zbMATH DE Number: 5836693
zbMATH Keywords: epidemic model
zbMATH Keywords: Lyapunov direct method
zbMATH Keywords: Lyapunov function
zbMATH Keywords: nonlinear incidence rate
MaRDI profile type: Publication
full work available at URL: j.amc.2010.10.007
OpenAlex ID: W2006474827
cites work: Q4693712
cites work: Global Solution for a Diffusive Nonlinear Deterministic Epidemic Model
cites work: Mathematical Structures of Epidemic Systems
cites work: A generalization of the Kermack-McKendrick deterministic epidemic model
cites work: Vaccination policies and nonlinear force of infection: generalization of an observation by Alexander and Moghadas (2004)
cites work: The mathematics of infectious diseases
cites work: Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission
cites work: Global properties of infectious disease models with nonlinear incidence
cites work: An SIRS model with a nonlinear incidence rate
cites work: Global stability of an SEI epidemic model with general contact rate
cites work: Global stability of SEIRS models in epidemiology
cites work: \(L^2\)-stability of the solutions to a nonlinear binary reaction-diffusion system of P.D.E.s
cites work: A nonlinear \(L^2\)-stability analysis for two-species population dynamics with dispersal
cites work: A rigorous reduction of the \(L^2\)-stability of the solutions to a nonlinear binary reaction--diffusion system of PDE's to the stability of the solutions to a linear binary system of ODE's
cites work: Q5482773
cites work: Q2995648
cites work: A simple SIS epidemic model with a backward bifurcation
cites work: Global analysis of an epidemic model with nonmonotone incidence rate
DOI: 10.1016/J.AMC.2010.10.007
description: scientific article; zbMATH DE number 5836693