Predator — mediated coexistence in a chemostat: Coexistence and competition reversal
نویسندگان
چکیده
منابع مشابه
Competition and coexistence in the chemostat∗
The aim of this course is to describe the mathematical model of competition in the chemostat and to study various mechanisms of coexistence of species. Basically, the chemostat consists of a nutrient input, pumped at a constant rate into a well-mixed culture vessel. The culture vessel contains the microorganisms that are growing and competing for the nutrient. Volume is kept constant by pumping...
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We consider a mathematical model that describes the competition of three species for a single nutrient in a chemostat in which the dilution rate is assumed to be controllable by means of state dependent feedback. We consider feedback schedules that are affine functions of the species concentrations. In case of two species, we show that the system may undergo a Hopf bifurcation and oscillatory b...
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It is widely believed that predation moderates interspecific competition and promotes prey diversity. Still, in models of two prey sharing a resource and a predator, predator-mediated coexistence occurs only over narrow ranges of resource productivity. These models have so far ignored the widespread feature of ontogenetic diet shifts in predators. Here, we theoretically explore the consequences...
متن کاملCoexistence of Competing Predators in a Chemostat
An analysis is given of a mathematical model of two predators feeding on a single prey growing in the chemostat. In the case that one of the predators goes extinct, a global stability result is obtained. Under appropriate circumstances, a bifurcation theorem can be used to show that coexistence of the predators occurs in the form of a limit cycle.
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A basic food web of 4 species is considered, of which there is a bottom prey X, two predators Y, Z on X, and a top predator W only on Y . The study concerns with how one type of chaotic coexistence arises. It is shown that under the situation that without the top-predator W , competitor Z goes to extinction, without Z the XYW locks in a periodic cycle, yet with all species, the noncompetitive Z...
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ژورنال
عنوان ژورنال: Mathematical Modelling
سال: 1987
ISSN: 0270-0255
DOI: 10.1016/0270-0255(87)90690-7