A juvenile-adult model with periodic vital rates.

Journal of Mathematical Biology
J M Cushing

Abstract

A global branch of positive cycles is shown to exist for a general discrete time, juvenile-adult model with periodically varying coefficients. The branch bifurcates from the extinction state at a critical value of the mean, inherent fertility rate. In comparison to the autonomous system with the same mean fertility rate, the critical bifurcation value can either increase or decrease with the introduction of periodicities. Thus, periodic oscillations in vital parameter can be either advantageous or deleterious. A determining factor is the phase relationship among the oscillations in the inherent fertility and survival rates.

References

Feb 1, 1976·Journal of Theoretical Biology·R M Nisbet, W S Gurney
Jan 1, 1986·Journal of Mathematical Biology·J M Cushing
Apr 29, 1998·Bulletin of Mathematical Biology·R F CostantinoS M Henson
Aug 12, 2003·Proceedings. Biological Sciences·Shandelle M HensonRobert A Desharnais
Jul 26, 2006·Bulletin of Mathematical Biology·John E Franke, Abdul-Aziz Yakubu
Oct 10, 2006·Mathematical Biosciences·John E Franke, Abdul-Aziz Yakubu

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Citations

Oct 1, 2007·Journal of Biological Dynamics·Azmy S AcklehSophia R-J Jang
Oct 1, 2008·Journal of Biological Dynamics·Azmy S Ackleh, Patrick De Leenheer
Mar 1, 2009·Journal of Biological Dynamics·Azmy S Ackleh, Ross A Chiquet
Jan 15, 2013·Theoretical Population Biology·Hal Caswell, Esther Shyu
Nov 23, 2017·Mathematical Biosciences and Engineering : MBE·Yilei TangDi Zhu

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