The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 88-383
Full Name: Kornkanok Bunwong
Position: Lecturer
Age: ON
Sex: Female
Address: Department of Mathematics, Faculty of Science, Mahidol University, Rama VI Rd., Ratchathewi, Bangkok 10400
Country: THAILAND
Tel: 66-81-6212387
Tel prefix:
Fax:
E-mail address: sckbw@mahidol.ac.th
Other E-mails: sckbw@hotmail.com, c_wichuta@hotmail.com
Title of the Paper: the effect of time scales on SIS epidemic model
Authors as they appear in the Paper: Wichuta Sae-jie, Kornkanok Bunwong, Elvin J. Moore
Email addresses of all the authors: g5038135@student.mahidol.ac.th, sckbw@mahidol.ac.th, ejm@kmutnb.ac.th
Number of paper pages: 11
Abstract: The distribution of diseases is one of the most interesting real-world phenomena which can be systematically studied through a mathematical model. A well-known simple epidemic model with surprising dynamics is the SIS model. Usually, the time domains that are widely used in mathematical models are limited to real numbers for the case of continuous time or to integers for the case of discrete time. However, a disease pandemic such as an influenza pandemic regularly disappears from a population and then recurs after a period of time. Additionally, collecting actual data continuously is time-consuming, relatively expensive, and really impractical. It seems that using a continuous-time model to describe observed data may not always be possible due to time domain conflict. The purpose of this paper is, therefore, to study the qualitative behavior of SIS models on continuous, discrete, and mixed continuous-discrete time scales. We investigate their dynamic behavior and e!
xamine how this behavior changes in the different time scale domains. We show that the dynamic behavior can change in a systematic manner from simple stable steady-state solutions for the continuous time domain to complicated chaotic solutions for the discrete-time domain.
Keywords: Bifurcation, Chaos, Limit cycles, Period doubling, SIS epidemic model, Time scales calculus.
EXTENSION of the file: .doc
Special (Invited) Session: Qualitative behavior of SIS epidemic model on time scales
Organizer of the Session: 102-218
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