A mathematical model of a two-prey and one-predator ecosystem with competition for resources among the prey is analized. Only a segment of conditionally (neutrally) stable equilibrium points are found together with the interior coexistence equilibrium, which is proven to be inconditionally stable. The latter shows that the predator population settles to a level which is lower than the one obtained from the original Tansky's model, the lower equilibrium value the higher the predators' mortality. The latter combined also with a large prey carrying capacity allow the predators' recovery and the settling of the system toward coexistence.

A model of switching feeding behavior for predators with prey interspecific competition

VENTURINO, Ezio
2008

Abstract

A mathematical model of a two-prey and one-predator ecosystem with competition for resources among the prey is analized. Only a segment of conditionally (neutrally) stable equilibrium points are found together with the interior coexistence equilibrium, which is proven to be inconditionally stable. The latter shows that the predator population settles to a level which is lower than the one obtained from the original Tansky's model, the lower equilibrium value the higher the predators' mortality. The latter combined also with a large prey carrying capacity allow the predators' recovery and the settling of the system toward coexistence.
9th WSEAS International Conference on Mathematics
Bucarest, Romania
24-26 giugno 2008
Proceedings of the 9th WSEAS International Conference on Mathematics and Computers in Biology and Chemistry
WSEAS PRESS
170
175
9789606766756
Predator-prey; switching mechanism; Tansky model; competition; stable equilibria
V. Ajraldi; E. Venturino
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2318/50383
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