Files in this item
On the stability of homogeneous steady states of a chemotaxis system with logistic growth term
Item metadata
dc.contributor.author | Chaplain, Mark Andrew Joseph | |
dc.contributor.author | Tello, J. I. | |
dc.date.accessioned | 2017-01-12T00:32:43Z | |
dc.date.available | 2017-01-12T00:32:43Z | |
dc.date.issued | 2016-07 | |
dc.identifier | 240255704 | |
dc.identifier | 91b907cb-6c10-4eab-bc55-c00798b66aec | |
dc.identifier | 84955456664 | |
dc.identifier | 000372758600001 | |
dc.identifier.citation | Chaplain , M A J & Tello , J I 2016 , ' On the stability of homogeneous steady states of a chemotaxis system with logistic growth term ' , Applied Mathematics Letters , vol. 57 , pp. 1-6 . https://doi.org/10.1016/j.aml.2015.12.001 | en |
dc.identifier.issn | 0893-9659 | |
dc.identifier.other | ORCID: /0000-0001-5727-2160/work/55378938 | |
dc.identifier.uri | https://hdl.handle.net/10023/10087 | |
dc.description.abstract | We consider a nonlinear PDEs system of Parabolic-Elliptic type with chemotactic terms. The system models the movement of a population “n” towards a higher concentration of a chemical “c” in a bounded domain Ω. We consider constant chemotactic sensitivity χ and an elliptic equation to describe the distribution of the chemicalnt − dnΔn = −χdiv(n∇c) + μn(1−n), −dcΔc + c = h(n) for a monotone increasing and lipschitz function h. We study the asymptotic behavior of solutions under the assumption of 2χ∣h′∣ < μ. As a result of the asymptotic stability we obtain the uniqueness of the strictly positive steady states. | |
dc.format.extent | 227453 | |
dc.language.iso | eng | |
dc.relation.ispartof | Applied Mathematics Letters | en |
dc.subject | Chemotaxis | en |
dc.subject | Stability | en |
dc.subject | Steady state | en |
dc.subject | Lower and upper solutions | en |
dc.subject | QA Mathematics | en |
dc.subject | QH301 Biology | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.subject.lcc | QH301 | en |
dc.title | On the stability of homogeneous steady states of a chemotaxis system with logistic growth term | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Applied Mathematics | en |
dc.identifier.doi | 10.1016/j.aml.2015.12.001 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2017-01-11 |
This item appears in the following Collection(s)
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.