Ratio-Dependent Food Chain Models with Three Trophic Levels
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33093
Ratio-Dependent Food Chain Models with Three Trophic Levels

Authors: R. Kara, M. Can

Abstract:

In this paper we study a food chain model with three trophic levels and Michaelis-Menten type ratio-dependent functional response. Distinctive feature of this model is the sensitive dependence of the dynamical behavior on the initial populations and parameters of the real world. The stability of the equilibrium points are also investigated.

Keywords: Food chain, Ratio dependent models, Three level models.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1060443

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1522

References:


[1] Arditi, R., Ginzburg, L. R., " Coupling in predator-prey dynamics: ratio-dependence", J. Theoretical Biology 139:311-326, 1989.
[2] Arditi, R., Saiah, H., "Empirical evidence of the role of predator-prey theory", Ecology 73:1530-1535, 1992.
[3] Ginzburg, L. R., Akçakaya, H. R., "Consequences of ratio-dependent predation for steady state properties of ecosystems", Ecology 73:1536-1543, 1992.
[4] McCarthy, M. A., Ginzburg, L. R., Akçakaya, H. R., "Predator interference across trophic chains.", Ecology 76(4):1310-1319, 1995.
[5] Hsu, S. B., Hwang, T. W., Kuang, Y., "Global analysis of the Michaelis-Menten type ratio-dependence predator-prey system.", J. Math. Biol. 42:489, 2001.