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dc.contributor.authorPeng, Yahong
dc.contributor.authorZhang, Tonghua
dc.contributor.authorTade, Moses
dc.date.accessioned2017-01-30T14:38:36Z
dc.date.available2017-01-30T14:38:36Z
dc.date.created2015-03-03T20:16:44Z
dc.date.issued2010
dc.date.submitted2015-03-04
dc.identifier.citationPeng, 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.urihttp://hdl.handle.net/20.500.11937/39957
dc.identifier.doi10.1016/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.publisherPergamon, Elsevier Ltd
dc.titleExistence of travelling fronts in a diffusive vector disease model with spatio-temporal delay
dc.typeJournal Article
dcterms.dateSubmitted2015-03-04
dcterms.source.volume11
dcterms.source.startPage2472
dcterms.source.endPage2478
dcterms.source.issn14681218
dcterms.source.titleNonlinear Analysis: Real World Applications
curtin.digitool.pid218032
curtin.pubStatusPublished
curtin.refereedTRUE
curtin.departmentDepartment of Chemical Engineering
curtin.identifier.scriptidPUB-SE-DCE-JB-56862
curtin.accessStatusFulltext not available


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