On the behavior of certain turing system

Authors

  • J. Nee General Education Center ChienKuo Technology University 500, Changhua, Taiwan, R.O.C.
  • H-S. Huang Department of Automation Engineer and Institute of Mechatronoptic System ChienKuo Technology University 500, Changhua, Taiwan, R.O.C.

Abstract

We extend the generalized maximum principle of Lou and Ni [1] of elliptic equations to parabolic equations. By this result, we show that the solution of a Turing system has a global attractor provide the diffusion coefficient D 6= 0 otherwise the solution blow-up
in finite time.

Keywords:

Maximum principle, Existence of solutions, Global attractor, Finite time blow- up

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Published

2012-12-31

How to Cite

J. Nee, & H-S. Huang. (2012). On the behavior of certain turing system. Applied Mathematics and Computational Intelligence (AMCI), 1(1), 42–47. Retrieved from https://ejournal.unimap.edu.my/index.php/amci/article/view/51

Issue

Vol. 1 No. 1 (2012): December (2012)

Section

Articles