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|Computing Science and Mathematics Journal Articles
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|Asymptotic behavior of size-structured populations via juvenile-adult interaction
|Farkas, Jozsef Zoltan
|Structured population dynamics
juvenile-adult intraspecific interaction
Parent and adult child
|Farkas JZ & Hagen T (2008) Asymptotic behavior of size-structured populations via juvenile-adult interaction. Discrete and Continuous Dynamical Systems - Series B, 9 (2), pp. 249-266. https://doi.org/10.3934/dcdsb.2008.9.249
|In this work a size structured juvenile-adult population model is considered. The linearized dynamical behavior of stationary solutions is analyzed using semigroup and spectral methods. The regularity of the governing linear semigroup allows to derive biologically meaningful conditions for the linear stability of stationary solutions. The main emphasis in this work is on juvenile-adult interaction and resulting consequences for the dynamics of the system. In addition, we investigate numerically the effect of a non-zero population inflow, due to an external source of newborns, on the dynamical behavior of the system in a special case of model ingredients.
|Published in Discrete and Continuous Dynamical Systems - Series B by The American Institute of Mathematical Sciences (AIMS).; This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems - Series B following peer review. The definitive publisher-authenticated version, Discrete and Continuous Dynamical Systems - Series B, Volume 9, Issue 2, March 2008, pp. 249 - 266, is available online at: http://aimsciences.org/journals/dcdsB/dcdsb_online.jsp
|Fulltext - Accepted Version
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