Geodesic
Existence and uniqueness of travelling wavefronts for a bio-reactor equations with distributed delays
Electronic journal of differential equations, Tome 2007 (2007)
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.
Classification : 34B18, 39A10
Keywords: bio-reactor model, travelling wavefronts, distributed delay, heteroclinic orbit, singular perturbation theory, center manifold theorem 
@article{EJDE_2007__2007__a166,
     author = {Zhao,  Zhihong and Xu,  Yuantong and Li,  Yongjin},
     title = {Existence and uniqueness of travelling wavefronts for a bio-reactor equations with distributed delays},
     journal = {Electronic journal of differential equations},
     year = {2007},
     volume = {2007},
     zbl = {1360.34067},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a166/}
}
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Zhao,  Zhihong; Xu,  Yuantong; Li,  Yongjin. Existence and uniqueness of travelling wavefronts for a bio-reactor equations with distributed delays. Electronic journal of differential equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a166/