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Asynchronous growth and competition in a two-sex age-structured population model
Iannelli, Mimmo; Ripoll, Jordi
Centre de Recerca Matemàtica
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.
517 - Anàlisi
Derivades parcials -- Equacions
Biologia -- Models matemàtics
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