Asynchronous growth and competition in a two-sex age-structured population model

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Title:	Asynchronous growth and competition in a two-sex age-structured population model
Author:	Iannelli, Mimmo; Ripoll, Jordi; Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica
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.
Subject(s):	-Derivades parcials Equacions -Biologia Models matemàtics
Rights:	open access 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 https://creativecommons.org/licenses/by-nc-nd/2.5/
Document type:	Article Prepublicació
Published by:	Centre de Recerca Matemàtica
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Uri:	https://ddd.uab.cat/record/47985