Abstract
A discrete SIR epidemic model with constant recovery and bilinear incidence rate is investigated for emergence of regular and chaotic behaviour in the context of non linear dynamics and different viable settings. The Euler’s discretization method is employed to transform the continuous epidemic model into discrete model which has been used as the study model. Attention is paid to various bifurcation plots obtained by varying certain system parameters while keeping other parameters constant. Bifurcations indicate regular evolution followed by chaos. Regular and chaotic attractors have been drawn in the process. As part of chaos measure, numerical studies are extended to calculate Lyapunov exponents (LCEs), topological entropies and correlation dimensions of chaotic attractors for different sets of parameter values. Results obtained are presented through graphics and analysed properly to demonstrate the complexity of the model.
Recommended Citation
Aneja, Sonia; Kumar, Itendra; and Prasad, Sada Nand
(2024).
(R2102) Chaos Measure in a Discrete SIR Epidemic Model with Constant Recovery,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 20,
Iss.
1, Article 18.
Available at:
https://digitalcommons.pvamu.edu/aam/vol20/iss1/18