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https://hdl.handle.net/1959.11/7469
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Du, Yihong | en |
dc.contributor.author | Hsu, Sze-Bi | en |
dc.date.accessioned | 2011-05-18T16:17:00Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | SIAM Journal on Mathematical Analysis, 42(3), p. 1035-1333 | en |
dc.identifier.issn | 1095-7154 | en |
dc.identifier.issn | 0036-1410 | en |
dc.identifier.uri | https://hdl.handle.net/1959.11/7469 | - |
dc.description.abstract | In this paper we analyze a nonlocal reaction-diffusion model which arises from the modeling of competition of phytoplankton species with incomplete mixing in a water column. The nonlocal nonlinearity in the model describes the light limitation for the growth of the phytoplankton species. We first consider the single-species case and obtain a complete description of the long-time dynamical behavior of the model. Then we study the two-species competition model and obtain sufficient conditions for the existence of positive steady states and uniform persistence of the dynamical system. Our approach is based on a new modified comparison principle, fixed point index theory, global bifurcation arguments, elliptic and parabolic estimates, and various analytical techniques. | en |
dc.language | en | en |
dc.publisher | Society for Industrial and Applied Mathematics | en |
dc.relation.ispartof | SIAM Journal on Mathematical Analysis | en |
dc.title | On a Nonlocal Reaction-Diffusion Problem Arising from the Modeling of Phytoplankton Growth | en |
dc.type | Journal Article | en |
dc.identifier.doi | 10.1137/090775105 | en |
dc.subject.keywords | Partial Differential Equations | en |
local.contributor.firstname | Yihong | en |
local.contributor.firstname | Sze-Bi | en |
local.subject.for2008 | 010110 Partial Differential Equations | en |
local.subject.seo2008 | 970101 Expanding Knowledge in the Mathematical Sciences | en |
local.profile.school | School of Science and Technology | en |
local.profile.school | Maths | en |
local.profile.email | ydu@une.edu.au | en |
local.output.category | C1 | en |
local.record.place | au | en |
local.record.institution | University of New England | en |
local.identifier.epublicationsrecord | une-20110309-15207 | en |
local.publisher.place | United States of America | en |
local.format.startpage | 1035 | en |
local.format.endpage | 1333 | en |
local.identifier.scopusid | 77953494017 | en |
local.peerreviewed | Yes | en |
local.identifier.volume | 42 | en |
local.identifier.issue | 3 | en |
local.contributor.lastname | Du | en |
local.contributor.lastname | Hsu | en |
dc.identifier.staff | une-id:ydu | en |
local.profile.orcid | 0000-0002-1235-0636 | en |
local.profile.role | author | en |
local.profile.role | author | en |
local.identifier.unepublicationid | une:7637 | en |
dc.identifier.academiclevel | Academic | en |
local.title.maintitle | On a Nonlocal Reaction-Diffusion Problem Arising from the Modeling of Phytoplankton Growth | en |
local.output.categorydescription | C1 Refereed Article in a Scholarly Journal | en |
local.search.author | Du, Yihong | en |
local.search.author | Hsu, Sze-Bi | en |
local.uneassociation | Unknown | en |
local.identifier.wosid | 000278575900010 | en |
local.year.published | 2010 | en |
Appears in Collections: | Journal Article School of Science and Technology |
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