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Published in:
2015 | OriginalPaper | Chapter
Stabilizing Role of Predators in Niche Construction Modeling
Authors : Faina S. Berezovskaya, Georgiy P. Karev
Published in: Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science
Publisher: Springer International Publishing
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Abstract
In this chapter a question of “how much over-consumption a renewable resource can tolerate” is addressed using a mathematical model, where a consumer population competes for the common resource, can contribute to resource restoration, and is subject to attacks of predators. The bifurcation analysis of the system shows that well-adapted predators can keep the system in a stable equilibrium even for “strong” prey over–consumption, when the initial system of resource–consumer goes to extinct. Thus, predators may extend the domain of total model system coexistence in niche.