含时滞和扩散的n维互助型Lotka-Volterra系统波前解的存在性

Existence of Wave Front Solutions of the n-Dimensional CooperativeLotka-Volterra System with Diffusion and Delays

研究了含时滞和扩散的n维互助型Lotka Volterra系统的行波解.利用J.Wu和X.Zou(J.Dynam.Diff.Eqns.,2001,13(3):651～687.)建立的解的存在性理论,得到当时滞较小时,这个系统的波前解存在.

In this paper, travelling wave solutions of the n-dimensional cooperative Lotka-Volterra system with delays and diffusion are investigated. Using the existence theory of solution developed by J. Wu and X. Zou (J. Dynam. Diff. Eqns.,2001,13(3):651～687.), it is shown that wave front solutions of this system exist when the delays are small.