Multiple limit cycles in predator-prey models
✍ Scribed by Alan Hastings
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 666 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0303-6812
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📜 SIMILAR VOLUMES
Perturbation methods are applied to a differential equation predator-prey model to find the approximate amplitudes and period of limit cycle solutions. In the model the feeding rate per unit predator per unit prey decreases as the prey become scarce. The rigorous applicability of the perturbation te
## Abstract A cubic differential system is proposed, which can be considered a generalization of the predator–prey models, studied recently by many authors. The properties of the equilibrium points, the existence of a uniqueness limit cycle, and the conditions for three limit cycles are investigate
Fairly regular multiannual microtine rodent cycles are observed in boreal Fennoscandia. In the southern parts of Fennoscandia these multiannual cycles are not observed. It has been proposed that these cycles may be stabilized by generalist predation in the south. We show that if the half-saturation
We study a system of ODE's modelling the interaction of one predator and one prey This system defines a two-species community which incorporates competition among prey in the absence of any predators as well as a density-dependent predator specific death rate. This system is investigated under ecol