Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 18, pp. 1-11.

Title: Existence and uniqueness of travelling
       wavefronts for a bio-reactor equations 
       with distributed delays

Authors: Zhihong Zhao (Sun Yat-sen Univ., Guangzhou, China)
         Yuantong Xu  (Sun Yat-sen Univ., Guangzhou, China)
	 Yongjin Li   (Sun Yat-sen Univ., Guangzhou, China)

Abstract:
 We consider the diffusive single species growth in a plug flow
 reactor model with distributed delay. For small delay, existence
 and uniqueness of such wavefronts are proved when the convolution
 kernel assumes the strong generic delay kernel. The approaches
 used in this paper are geometric singular perturbation theory and
 the center manifold theorem.
 
Submitted November 24, 2006. Published January 25, 2007.
Math Subject Classifications: 34B18, 39A10.
Key Words: Bio-reactor model; travelling wavefronts; distributed delay; 
           heteroclinic orbit; singular perturbation theory;
	   center manifold theorem.