Existence and uniqueness of travelling wavefronts for a bio-reactor equations with distributed delays
Texas State University-San Marcos, Department of Mathematics
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.
Bio-reactor model, Travelling wavefronts, Distributed delay, Heteroclinic orbit, Singular perturbation theory, Center manifold theorem
Zhao, Z., Xu, Y., & Li, Y. (2007). Existence and uniqueness of travelling wavefronts for a bio-reactor equations with distributed delays. <i>Electronic Journal of Differential Equations, 2007</i>(18), pp. 1-11.