Papers Submitted to WSEAS Conferences and WSEAS Journals: Wseas Transactions

Wednesday, 29 June 2011

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-831
Full Name: Qiangjun Xie
Position: Lecturer
Age: ON
Sex: Male
Address: School of Science,Hangzhou Dianzi University,Hangzhou,310018
Country: CHINA
Tel:
Tel prefix:
Fax:
E-mail address: qjunxie@hdu.edu.cn
Other E-mails: qjunxie@163.com
Title of the Paper: Periodic solutions for a two-competing-predator and one-prey system with diffusion
Authors as they appear in the Paper: Qiangjun Xie;Zerong He; Chunguo Zhang; Wenxiang Zhou
Email addresses of all the authors:
Number of paper pages: 10
Abstract: A two-competing-predator and one-prey system with diffusion is proposed and studied. We consider that the system is time-periodic, and characterized by logistic prey growth, a Holling III functional response for one predator, and a Beddington -DeAngelis functional response for the other predator. By means of the property of periodic parabolic operators, Schauder estimates and global bifurcation theory, the coexistence state of time-periodic solutions for this reaction-diffusion equation model are investigated. The necessary and sufficient conditions for the existence of positive periodic solutions are obtained.
Keywords: periodic parabolic operator; Schauder estimates; Periodic solutions; Theory of bifurcation
EXTENSION of the file: .doc
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