Existence of travelling fronts in a diffusive vector disease model with spatio-temporal delay
| dc.contributor.author | Peng, Yahong | |
| dc.contributor.author | Zhang, Tonghua | |
| dc.contributor.author | Tade, Moses | |
| dc.date.accessioned | 2017-01-30T14:38:36Z | |
| dc.date.available | 2017-01-30T14:38:36Z | |
| dc.date.created | 2015-03-03T20:16:44Z | |
| dc.date.issued | 2010 | |
| dc.identifier.citation | Peng, Y. and Zhang, T. and Tade, M. 2010. Existence of travelling fronts in a diffusive vector disease model with spatio-temporal delay. Nonlinear Analysis: Real World Applications. 11 (4): pp. 2472-2478. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/39957 | |
| dc.identifier.doi | 10.1016/j.nonrwa.2009.08.004 | |
| dc.description.abstract |
In this paper, we study travelling front solutions of a vector disease model incorporating time delays and diffusion. Special attention is paid to the modelling of the time delays to incorporate the associated non-local spatial terms which account for the drift of individuals to their present positions from their possible positions at previous times. We shall show that such fronts exist for the weak generic delay kernel and sufficiently small delays by using geometric singular perturbation theory. Then, for the discrete-delay case, following Canosa’s asymptotic analysis method, we give some information on travelling front solutions. | |
| dc.publisher | Pergamon, Elsevier Ltd | |
| dc.title | Existence of travelling fronts in a diffusive vector disease model with spatio-temporal delay | |
| dc.type | Journal Article | |
| dcterms.source.volume | 11 | |
| dcterms.source.startPage | 2472 | |
| dcterms.source.endPage | 2478 | |
| dcterms.source.issn | 14681218 | |
| dcterms.source.title | Nonlinear Analysis: Real World Applications | |
| curtin.department | Department of Chemical Engineering | |
| curtin.accessStatus | Fulltext not available |