Electron. J. Diff. Equ., Vol. 2009(2009), No. 157, pp. 1-12.

Dynamics of a non-autonomous three-dimensional population system

Ta Hong Quang, Ta Viet Ton, Nguyen Thi Hoai Linh

In this paper, we study a non-autonomous Lotka-Volterra model with two predators and one prey. The explorations involve the persistence, extinction and global asymptotic stability of a positive solution.

Submitted August 28, 2009. Published December 1, 2009.
Math Subject Classifications: 34C27, 34D05.
Key Words: Predator-prey model; survival; extinction; persistence; asymptotic stability; Liapunov function.

Show me the PDF file (228 KB), TEX file, and other files for this article.

  Ta Hong Quang
Faculty of Mathematics
Xuan Hoa Teacher Training University, Vietnam
email: hongquangta12@yahoo.com
Ta Viet Ton
Division of Precision Science and Technology and Applied Physics
Graduate School of Engineering, Osaka University, Japan
email: taviet.ton@ap.eng.osaka-u.ac.jp
  Nguyen Thi Hoai Linh
Vietnam Publishing House for Science and Technology, Vietnam
email: linha1t@yahoo.com

Return to the EJDE web page