Global dynamics of a multi-strain SEIR epidemic model with general incidence rates: application to COVID-19 pandemic

DOI10.1007/s11071-020-05929-4zbMath1517.92034OpenAlexW3084273843WikidataQ99403255 ScholiaQ99403255MaRDI QIDQ6132320

Karam Allali, Omar Khyar

Publication date: 16 August 2023

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-020-05929-4

zbMATH Keywords

basic reproduction numberglobal stability analysismulti-strain epidemic modelCOVID-19general incidence functionSEIR

Mathematics Subject Classification ID

Epidemiology (92D30) Global stability of solutions to ordinary differential equations (34D23) Control/observation systems governed by ordinary differential equations (93C15)

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Cites Work

• Partial differential equations of an epidemic model with spatial diffusion
• Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate
• Global dynamics of a delay reaction-diffusion model for viral infection with specific functional response
• Some epidemiological models with nonlinear incidence
• Stability analysis of a virus dynamics model with general incidence rate and two delays
• 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
• Introduction to functional differential equations
• Mathematical approaches for emerging and reemerging infectious diseases: Models, methods, and theory. Proceedings of a workshop, integral part of the IMA program on mathematics in biology
• Threshold behaviour of a stochastic SIR model
• A disease transmission model in a nonconstant population
• Global stability for the SEIR model in epidemiology
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• Mathematical analysis of a virus dynamics model with general incidence rate and cure rate
• Stability analysis of an SEIQV epidemic model with saturated incidence rate
• Global stability analysis of a two-strain epidemic model with non-monotone incidence rates
• Qualitative analysis of a stochastic epidemic model with specific functional response and temporary immunity
• The threshold of a stochastic SIRS epidemic model with saturated incidence
• Asymptotic properties of a stochastic predator-prey model with Crowley-Martin functional response
• GLOBAL STABILITY OF THE VIRAL DYNAMICS WITH CROWLEY-MARTIN FUNCTIONAL RESPONSE
• Lyapunov function and global stability for a two-strain SEIR model with bilinear and non-monotone incidence
• On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
• Dynamics and control of COVID-19 pandemic with nonlinear incidence rates

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