Lyapunov function and global stability for a two-strain SEIR model with bilinear and non-monotone incidence

DOI10.1142/S1793524519500219zbMath1409.92225OpenAlexW2908688458WikidataQ128567060 ScholiaQ128567060MaRDI QIDQ3121260

Dounia Bentaleb, Saida Amine

Publication date: 15 March 2019

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524519500219

zbMATH Keywords

multi-strainbilinear incidenceSEIRnon-monotone incidence

Mathematics Subject Classification ID

Epidemiology (92D30) Global stability of solutions to ordinary differential equations (34D23)

Related Items (10)

Global stability analysis of a two-strain epidemic model with non-monotone incidence rates ⋮ Dynamics of a time-delayed two-strain epidemic model with general incidence rates ⋮ Analysis and optimal control of a multistrain SEIR epidemic model with saturated incidence rate and treatment ⋮ Global dynamics of a multi-strain SEIR epidemic model with general incidence rates: application to COVID-19 pandemic ⋮ Global Stability Analysis of Two-Strain SEIR Epidemic Model with Quarantine Strategy ⋮ The global stability and optimal control of the COVID-19 epidemic model ⋮ Dynamic Analysis of SLIR Model Describing the Effectiveness of Quarantine Against the Spread of COVID-19 ⋮ Qualitative analysis of a mathematical model with presymptomatic individuals and two SARS-CoV-2 variants ⋮ New type of cancer patients based on triangular cubic hesitant fuzzy TOPSIS method ⋮ Global stability of a diffusive HCV infections epidemic model with nonlinear incidence

Cites Work

• A two-strain TB model with multiple latent stages
• A competitive exclusion principle for pathogen virulence
• Some epidemiological models with nonlinear incidence
• Analysis and control of an SEIR epidemic system with nonlinear transmission rate
• Analysis of an SIR model with bilinear incidence rate
• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• A generalization of the Kermack-McKendrick deterministic epidemic model
• A disease transmission model in a nonconstant population
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• Global stability analysis of SEIR model with Holling type II incidence function
• Global analysis of an epidemic model with nonmonotone incidence rate

This page was built for publication: Lyapunov function and global stability for a two-strain SEIR model with bilinear and non-monotone incidence