On a size-structured two-phase population model with infinite states-at-birth

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dc.contributor.authorFarkas, Jozsef Z.
dc.contributor.authorHinow, Peter
dc.date.accessioned2024-07-12T20:51:55Z
dc.date.available2024-07-12T20:51:55Z
dc.date.issued2009en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractWe introduce and analyze a linear size-structured population model with infinite states-at-birth. We model the dynamics of a population in which individuals have two distinct life-stages: an “active” phase when individuals grow, reproduce and die and a second “resting” phase when individuals only grow. Transition between these two phases depends on individuals’ size. First we show that the problem is governed by a positive quasicontractive semigroup on the biologically relevant state space. Then we investigate, in the framework of the spectral theory of linear operators, the asymptotic behavior of solutions of the model. We prove that the associated semigroup has, under biologically plausible assumptions, the property of asynchronous exponential growth.en_US
dc.identifier.citationFarkas, J. Z. ve Hinow, P. (2009). Maltepe Üniversitesi. s. 222.en_US
dc.identifier.endpage223en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage222en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2499
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07864
dc.titleOn a size-structured two-phase population model with infinite states-at-birthen_US
dc.typeConference Object
dspace.entity.typePublication

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