Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/91192
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dc.contributorDepartment of Applied Mathematicsen_US
dc.creatorZhang, Len_US
dc.creatorLiu, KHen_US
dc.creatorLou, YJen_US
dc.creatorWang, ZCen_US
dc.date.accessioned2021-09-16T06:36:12Z-
dc.date.available2021-09-16T06:36:12Z-
dc.identifier.issn0956-7925en_US
dc.identifier.urihttp://hdl.handle.net/10397/91192-
dc.language.isoenen_US
dc.publisherCambridge University Pressen_US
dc.rightsThis article has been published in a revised form in European Journal of Applied Mathematics https://dx.doi.org/10.1017/S0956792519000408. This version is free to view and download for private research and study only. Not for re-distribution or re-use. © The Author(s) 2020. Published by Cambridge University Press.en_US
dc.rightsWhen citing an Accepted Manuscript or an earlier version of an article, the Cambridge University Press requests that readers also cite the Version of Record with a DOI link. The article is subsequently published in revised form in European Journal of Applied Mathematics https://dx.doi.org/10.1017/S0956792519000408en_US
dc.subjectAge structureen_US
dc.subjectDiffusionen_US
dc.subjectSeasonal effectsen_US
dc.subjectPeriodic delayen_US
dc.subjectIntra-specific competitionen_US
dc.titleSpatial dynamics of a nonlocal model with periodic delay and competitionen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage1070en_US
dc.identifier.epage1100en_US
dc.identifier.volume31en_US
dc.identifier.issue6en_US
dc.identifier.doi10.1017/S0956792519000408en_US
dcterms.abstractEach species is subject to various biotic and abiotic factors during growth. This paper formulates a deterministic model with the consideration of various factors regulating population growth such as age-dependent birth and death rates, spatial movements, seasonal variations, intra-specific competition and time-varying maturation simultaneously. The model takes the form of two coupled reaction–diffusion equations with time-dependent delays, which bring novel challenges to the theoretical analysis. Then, the model is analysed when competition among immatures is neglected, in which situation one equation for the adult population density is decoupled. The basic reproduction number is defined and shown to determine the global attractivity of either the zero equilibrium (when ) or a positive periodic solution ( ) by using the dynamical system approach on an appropriate phase space. When the immature intra-specific competition is included and the immature diffusion rate is neglected, the model is neither cooperative nor reducible to a single equation. In this case, the threshold dynamics about the population extinction and uniform persistence are established by using the newly defined basic reproduction number as a threshold index. Furthermore, numerical simulations are implemented on the population growth of two different species for two different cases to validate the analytic results.en_US
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationEuropean journal of applied mathematics, Dec. 2020, v. 31, no. 6, p. 1070-1100en_US
dcterms.isPartOfEuropean journal of applied mathematicsen_US
dcterms.issued2020-12-
dc.identifier.isiWOS:000587929600007-
dc.identifier.eissn1469-4425en_US
dc.description.validate202208 bcvcen_US
dc.description.oaAccepted Manuscripten_US
dc.identifier.FolderNumberAMA-0236, a0853-n13, a1560-
dc.identifier.SubFormID2070, 45424-
dc.description.fundingSourceRGCen_US
dc.description.pubStatusPublisheden_US
dc.identifier.OPUS23693708-
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