Please use this identifier to cite or link to this item: https://ir.sc.mahidol.ac.th/handle/123456789/617
Title: Qualitative behavior of SIS epidemic model on time scales
Authors: Kornkanok Bunwong
Keywords: Bifurcation;Chaos;Limit cycles;Period doubling;SIS epidemic model;Time scales analysis
Issue Date: 2010
Publisher: 4th International Conference on Applied Mathematics, Simulation, Modelling, ASM'10
Citation: International Conference on Applied Mathematics, Simulation, Modelling - Proceedings 2010;159-164
Abstract: Mathematical models in continuous or discrete time are widely used to simplify real-world systems in order to understand their mechanisms for a particular purpose. Consequently, a welldefined model should be able to carry out some predictions and be fitted to observational data in a variety of time measurements (seconds, hours, days, weeks, months, or years). Therefore, the time scales approach also plays an important role in the model. In this paper, we construct a time scales version of a simple epidemic model (SIS) and explore the variety of its qualitative behavior. For each parameter value, the theory of time scales allows the discovery of similar and dissimilar behavior of SIS epidemic models on different time scales. Finally, the dynamic behavior shows a period doubling bifurcation path to chaos as the distance of equally spaced points in time increases.
Description: Scopus
URI: https://ir.sc.mahidol.ac.th/handle/123456789/617
ISSN: 17924332
Appears in Collections:Mathematics: International Proceedings

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