Please use this identifier to cite or link to this item:
|Title:||Qualitative behavior of SIS epidemic model on time scales|
|Keywords:||Bifurcation;Chaos;Limit cycles;Period doubling;SIS epidemic model;Time scales analysis|
|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.|
|Appears in Collections:||Mathematics: International Proceedings|
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.