Biochemical models of SIR and SIRS: Effects of bilinear incidence rate on infection-free and endemic states

DOI10.1063/5.0166337zbMATH Open1545.92096MaRDI QIDQ6552172

Orhan Ozgur Aybar

Publication date: 8 June 2024

Published in: Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23)

Cites Work

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• Analysis of an SIR model with bilinear incidence rate
• A contribution to the mathematical theory of epidemics.
• Stability and bifurcation analysis of an SIR epidemic model with logistic growth and saturated treatment
• Dynamics of positive solutions to SIR and SEIR epidemic models with saturated incidence rates
• Modeling and analysis of an \(SI_1I_2R\) epidemic model with nonlinear incidence and general recovery functions of \(I_1\)
• Dynamics of a time-delayed SIR epidemic model with logistic growth and saturated treatment
• Center conditions and cyclicity for a family of cubic systems: computer algebra approach
• Identifying weak foci and centers in the Maxwell-Bloch system
• On the global stability of SIS, SIR and SIRS epidemic models with standard incidence
• Global dynamics of a susceptible-infectious-recovered epidemic model with a generalized nonmonotone incidence rate
• The Center and Cyclicity Problems
• Limit Cycles in a Model of Olfactory Sensory Neurons
• Ideals, Varieties, and Algorithms
• Elements of applied bifurcation theory
• Qualitative Analysis of the Minimal Higgins Model of Glycolysis

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