Analytical and numerical investigation of the SIR mathematical model
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Publication:6136340
DOI10.1007/s10598-023-09572-7zbMath1520.92079MaRDI QIDQ6136340
Tang Rui, Yang Enping, Michael Orlov, N. L. Semendyaeva
Publication date: 29 August 2023
Published in: Computational Mathematics and Modeling (Search for Journal in Brave)
Lyapunov functionSIR modelsystems of ordinary differential equationsLambert \(W\)-functionqualitative investigationCOVID-19 pandemics
Epidemiology (92D30) Qualitative investigation and simulation of ordinary differential equation models (34C60)
Cites Work
- Exact analytical solutions of the susceptible-infected-recovered (SIR) epidemic model and of the SIR model with equal death and birth rates
- On the Lambert \(w\) function
- Dynamics of an infectious diseases with media/psychology induced non-smooth incidence
- Input-to-state stability and Lyapunov functions with explicit domains for SIR model of infectious diseases
- Analytical features of the SIR model and their applications to COVID-19
- Comments on some analytical and numerical aspects of the SIR model
- Characteristic roots and stability domains of a dynamical system with delay
- The Mathematics of Infectious Diseases
- Mathematical Modelling of the Evolution Dynamics of the Coronavirus Disease 2019 (COVID-19) in Burkina Faso
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