Global asymptotic stability for the SEIRS models with varying total population size

DOI10.1016/J.MBS.2017.11.010zbMath1380.92078OpenAlexW2772367033WikidataQ47174994 ScholiaQ47174994MaRDI QIDQ1698512

Guichen Lu, Zhengyi Lu

Publication date: 15 February 2018

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2017.11.010

zbMATH Keywords

global asymptotic stabilityLi-Muldowney geometric approachSEIRS epidemiological model

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (9)

The impacts of reducing the infection rate and infection source on the transmission of emerging infectious diseases ⋮ HOPF BIFURCATION OF AN SEIRS MODEL WITH AGE STRUCTURE AND TIME DELAY ⋮ An application of a novel geometric criterion to global-stability problems of a nonlinear SEIVS epidemic model ⋮ A stochastic epidemic model with infectivity in incubation period and homestead-isolation on the susceptible ⋮ Dynamics of an fractional SEIR epidemic model with infectivity in latent period and general nonlinear incidence rate ⋮ New global dynamical results and application of several SVEIS epidemic models with temporary immunity ⋮ Dynamics of an SEIR model with infectivity in incubation period and homestead-isolation on the susceptible ⋮ Threshold dynamics of an \(\mathbf{SEIS}\) epidemic model with nonlinear incidence rates ⋮ Isolation in the control of epidemic

Cites Work

• Unnamed Item
• Geometric approach for global asymptotic stability for three species competitive Gompertz models
• Geometric approach to global asymptotic stability for the SEIRS models in epidemiology
• Geometric approach for global asymptotic stability of three-dimensional Lotka-Volterra systems
• Hopf bifurcation in epidemic models with a latent period and nonpermanent immunity
• Global dynamics of a SEIR model with varying total population size
• Dynamics of differential equations on invariant manifolds
• Global analysis of competition for perfectly substitutable resources with linear response
• Global stability of Gompertz model of three competing populations
• Global Dynamics of an SEIR Epidemic Model with Vertical Transmission
• A Geometric Approach to Global-Stability Problems
• Liapunov functions and stability in control theory

This page was built for publication: Global asymptotic stability for the SEIRS models with varying total population size