dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Iannelli, Mimmo |
dc.contributor.author |
Ripoll, Jordi |
dc.date.accessioned |
2009-07-16T07:47:35Z |
dc.date.available |
2009-07-16T07:47:35Z |
dc.date.created |
2009-04 |
dc.date.issued |
2009-04 |
dc.identifier.uri |
http://hdl.handle.net/2072/39302 |
dc.format.extent |
17 |
dc.format.extent |
179593 bytes |
dc.format.mimetype |
application/pdf |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;854 |
dc.rights |
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
dc.subject.other |
Derivades parcials -- Equacions |
dc.subject.other |
Biologia -- Models matemàtics |
dc.subject.other |
Estabilitat |
dc.title |
Asynchronous growth and competition in a two-sex age-structured population model |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
517 - Anàlisi |
dc.description.abstract |
Asynchronous exponential growth has been extensively studied in population dynamics. In this paper we find out the asymptotic behaviour in a non-linear age-dependent model which takes into account sexual reproduction interactions. The main feature of our model is that the non-linear process
converges to a linear one as the solution becomes large, so that the population
undergoes asynchronous growth. The steady states analysis and the corresponding stability analysis are completely made and are summarized in a bifurcation diagram according to the parameter R0. Furthermore the effect of intraspecific competition is taken into account, leading to complex dynamics around steady states. |