%0 Journal Article %1 Lin2008delayed %A Lin, Guojian %A Hong, Yiguang %D 2008 %J Applied Mathematical Modelling %K delayed_differential_equation disease_outbreak travelling_wave %N 12 %P 2831 - 2838 %R DOI: 10.1016/j.apm.2007.10.002 %T Travelling wave fronts in a vector disease model with delay %U http://www.sciencedirect.com/science/article/B6TYC-4PXDM81-1/2/4c0525be7d3c415fda433a39c6940859 %V 32 %X In this paper, we study the diffusive vector disease model with delay. This problem with strong biological background has attracted much research attention. We focus on the existence of traveling wave fronts, and find that there is a moving zone for the transition from the disease-free state to the infective state. To complete the theoretical analysis, we employ the mathematical tools including the monotone iteration technique as well as the upper and lower solution method.

@article{Lin2008delayed, abstract = {In this paper, we study the diffusive vector disease model with delay. This problem with strong biological background has attracted much research attention. We focus on the existence of traveling wave fronts, and find that there is a moving zone for the transition from the disease-free state to the infective state. To complete the theoretical analysis, we employ the mathematical tools including the monotone iteration technique as well as the upper and lower solution method.}, added-at = {2010-01-18T19:37:41.000+0100}, author = {Lin, Guojian and Hong, Yiguang}, biburl = {https://www.bibsonomy.org/bibtex/2b8f642e8a6fa6b979e0e77709d8350fb/peter.ralph}, description = {ScienceDirect - Applied Mathematical Modelling : Travelling wave fronts in a vector disease model with delay}, doi = {DOI: 10.1016/j.apm.2007.10.002}, interhash = {114331d85a4f041b4d49fd044aaf214d}, intrahash = {b8f642e8a6fa6b979e0e77709d8350fb}, issn = {0307-904X}, journal = {Applied Mathematical Modelling}, keywords = {delayed_differential_equation disease_outbreak travelling_wave}, number = 12, pages = {2831 - 2838}, timestamp = {2013-09-12T22:23:01.000+0200}, title = {Travelling wave fronts in a vector disease model with delay}, url = {http://www.sciencedirect.com/science/article/B6TYC-4PXDM81-1/2/4c0525be7d3c415fda433a39c6940859}, volume = 32, year = 2008 }