Results 251 to 260 of about 44,189 (275)

Switching effect in prey-predator system

Journal of Theoretical Biology, 1978
Abstract A mathematical model of two-preys and one-predator system which has the switching property of predation is investigated. By using the Routh-Hurwitz criteria, it is proved that the system generally has a stable three-species-co-existing equilibrium state.
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Motional Instabilities in Prey–Predator Systems

Journal of Theoretical Biology, 2000
Differential fluxes can destabilize the locally stable stationary density distributions in interaction systems with diffusion, advection, and/or locomotion of chemical or biological species. By this method they can cause the formation of stationary or travelling spatial structures.
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Allee effect in a prey–predator system

Chaos, Solitons & Fractals, 2008
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Hadjiavgousti, Despina, Ichtiaroglou, Simos   +1 more
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The theory of prey-predator oscillations

Theoretical Population Biology, 1976
Abstract A general prey-predator model is formulated and the conditions for the occurrence of limit cycles are discussed. The effects of random environmental fluctuations on a stable equilibrium and on a limit cycle are investigated. Data on the 4- and 10-yr cycles are analysed by computing the periodogram and the results are compared with the ...
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Prey-predator models in spatially heterogeneous environments

Journal of Theoretical Biology, 1974
Abstract The effects of environmental heterogeneity on models of prey-predator systems are investigated. Refuge behaviour is found in a continuous gradually varying environment. In this situation we do not necessarily get oscillating population cycles. The stabilizing effect observed depends on environmental variation and is not produced by diffusion
H N, Comins, D W, Blatt
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Prey-Predator Interactions

1997
Abstract Babblers move around their territory during the day, looking for food on the ground among the desert trees and bushes. One of the group often perches on a treetop, acting as sentinel. When the sentinel, or any other babbler, sees a bird of prey, or raptor, in the distance, it emits a loud “bark.” Upon hearing such barks ...
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Oscillations in a Prey-Predator-Superpredator System

Journal of Biological Systems, 1998
The behaviour of a food chain with three populations of the type prey-predator-superpredator is studied in the case where the growth rates of the three populations are highly diversified. The analysis shows that the system can have high-frequency oscillations, due to the interaction between prey and predator, which arise during a low-frequency cycle ...
Boudjellaba, H., Sari, T.
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A PREY-PREDATOR-SUPERPREDATOR SYSTEM

Journal of Biological Systems, 2001
We consider a prey-predator-superpredator model. Assuming that the growth rates of the three populations are highly diversified, we prove that under some conditions on the parameters of the model, the three populations can coexist through a cycle for which we give the period. Besides, we give the laws (entrance-exit functions) that govern the prey and
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Optimal control of stochastic prey–predator models

Applied Mathematics and Computation, 2003
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El-Gohary, Awad, Bukhari, Fawzy A.
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A study of prey–predator relations for mammals

Journal of Theoretical Biology, 2003
In this paper, we present a prey-predator nonlinear model for mammals, consisting of large- and small-size prey species with group defence, in a partially protected habitat. If the prey size is small, then it is more prone to the predator at higher densities. Conversely, large prey size at higher densities tend to develop group defence.
Khan, Q. J. A., Ghaleb, A. F.
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