Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (1): 96-102.

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Existence of Travelling Wave Fronts to a Delayed Lattice Model for Population 

  

  1. Department of Mathematics Huazhong University of Science and Technology,Department of Mathematics,Huazhong University of Science and Technology,,Wuhan 430074,China,Wuhan 430074,China
  • Received:2005-12-31 Online:2008-03-30 Published:2023-10-16
  • About author:SUN Feng-lan(1982-), female, native of Nanyang, Henan, M.S.D., engages in partial differential equation; TANG Yan-bin(1965-), male, native of Yichang, Hubei, a professor of Huazhong University of Science and Technology, PH.D., engages in partial differential equation.
  • Supported by:
    Supported by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry(20030917)

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Abstract: This paper considers the travelling wave fronts to a delayed lattice differential equation.The existence of the travelling wave solutions is proved by making use of the technique of the upper and lower solutions developed by J Wu and X Zou in [6].This work extends that of [4] in a general class of nonlinear terms.

Key words: travelling wave front, lattice differential equation, delay, upper and lower solutions

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