Zusammenfassung
DGLs mit zeitverzögerten Argumenten beschreiben ein Räuber-Beute-System, in dem nur die älteren Individuen räuberisch sind, aber neben der Beutepopulation auch Jungtiere der eigenen Art jagen. Mit zunehmendem innerartlichem Räuberdruck verringern sich zunächst die Amplituden der Räuber-Beute-Oszillationen, bevor mit weiterer Zunahme gedämpfte Schwingungen auftreten. Bei einer kannibalistischen Aktivität, die Labormessungen bei räuberischen Copepoden entspricht, werden die Oszillationen so stark gedämpft, daß sich schnell ein stabiles Gleichgewicht einstellt. Dadurch verringert sich das Aussterberisiko erheblich.
Summary
By differential equations with time delayed arguments, a predator-prey system is described where only older animals are predacious but hunt, besides a prey population, also juveniles of their own species. Increasing intraspecific predation first reduces the amplitudes of predator-prey oscillations; a further increase then causes damping. With a cannibalistic activity as measured for copepods, the system turns very fast into a stable equilibrium. This reduces the risk of extinction drastically.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Literature cited
Gabriel, W. (1985a): Simulation komplexer Populationsdynamik. - In: D. P. F. Moller (ed.): Simulationstechnik. Informatik Fachberichte Bd.109. pp 318–324, Springer, Berlin Heidelberg.
Gabriel, W. (1985b): Overcoming food limitation by cannibalism: A model study on cyclopoids. Arch. Hydrobiol. Beih.21: 3164–3168.
Gabriel, W. and Lampert, W. (1985): Can cannibalism be advantageous in cyclopoids? A mathematical model. Verh. Internat. Verein.- Limnol. 22: 3164–3168.
Maas, P., W.S.C. Gurney, and R.M. Nisbet (1982): SOLVER - An adaptable program template for initial value problem solving. Applied Physics Industrial Consultants. Glasgow: Univ. of Strathclyde. (see also later and recent updates)
Metz, J.A.J, and O. Diekmann (eds.) (1986): The dynamics of physiologically structured populations. Lecture Notes in Biomathematics 68. Springer-Verlag, Heidelberg.
Nisbet, R.M., S.P. Blythe, W. S. C. Gurney, and J.A.J. Metz (1985): Stage structured models of populations with discrete growth and development processes. IMA Journal of Mathematics Applied in Medicine and Biology 2: 57–68.
Van den Bosch, F., A.M. de Roos, and W. Gabriel (1988): Cannibalism as a life boat mechanism. J. Math. Biol. 26: 619–633.
Van den Bosch, F. and W. Gabriel (1990): The impact of cannibalism on the population dynamics of cyclopoid copepods. Verh. Internat. Verein. Limnol. 24: (in press).
Van den Bosch, F. and B. Santer: Cannibalism in Cyclops abyssorum. (submitted)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Gabriel, W., van den Bosch, F. (1991). Consequences of intraspecific predation: A stage structured population model approach. In: Möller, D.P.F., Richter, O. (eds) Analyse dynamischer Systeme in Medizin, Biologie und Ökologie. Informatik-Fachberichte, vol 275. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77020-3_22
Download citation
DOI: https://doi.org/10.1007/978-3-642-77020-3_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54669-6
Online ISBN: 978-3-642-77020-3
eBook Packages: Springer Book Archive