The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 88-385
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
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E-mail address: sckbw@mahidol.ac.th
Other E-mails: sckbw@hotmail.com
Title of the Paper: a new approach to pair approximation method for spatial model in ecology
Authors as they appear in the Paper: Kornkanok Bunwong
Email addresses of all the authors: sckbw@mahidol.ac.th
Number of paper pages: 10
Abstract: A mathematical model using either mean-field approximation or pair approximation has both advantage and limitation. Mean-field approximation is suitable for describing behaviors of a large system; however, it neglects the scale of individual interaction. On the other hand, pair approximation is suitable for studying local interaction especially singles and pairs; however, the mathematical formulas are still limited. Thus, choosing the right model for the right purpose is recommended. The objective of this paper is to develop the techniques of pair approximation by using probability averaged value based on probability distribution; for example, multinomial distribution and Poisson distribution. These extended formulas are suitable for a model composed of individuals whose event rates are additionally affected by their nearby neighbor. Finally, we apply these tools to a simple SIS epidemic model.
Keywords: Multinomial distribution, Poisson distribution, Pair approximation, Spatial interaction, Lattice model, Ecology, Epidemiology.
EXTENSION of the file: .doc
Special (Invited) Session: Pair Approximations for Ecological Models with Additional Neighborhood Effects
Organizer of the Session: 102-219
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IP ADDRESS: 202.28.179.4
