Developing a continuous SIR epidemic model and its discrete version using Euler method: analyzing dynamics with analytical and numerical methods

DOI10.1002/mma.10124MaRDI QIDQ6574541

Z. Eskandari, Nemat Nyamoradi, Fatemeh Sahaminejad

Publication date: 18 July 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

numerical methodsEuler methodanalytical methodsSIR epidemic modeldynamics analysiscontinuous and discrete-time models

Mathematics Subject Classification ID

Numerical bifurcation problems (65P30) Bifurcation theory for difference equations (39A28)

Cites Work

• Unnamed Item
• Backward bifurcation of an age-structured epidemic model with partial immunity: the Lyapunov-Schmidt approach
• Complex patterns of an SIR model with a saturation treatment on complex networks: an edge-compartmental approach
• The Mathematics of Infectious Diseases
• Mathematical Models in Population Biology and Epidemiology
• Numerical Methods for Two-Parameter Local Bifurcation Analysis of Maps
• Numerical Bifurcation Analysis of Maps
• Statistical Inference in a Stochastic Epidemic SEIR Model with Control Intervention: Ebola as a Case Study
• Asymptotical profiles of an age-structured foot-and-mouth disease with nonlocal diffusion on a spatially heterogeneous environment

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