A non-standard finite-difference scheme is constructed to simulate a predator-prey model of Gause-type with a functional response. Using fixed-point analysis, it is shown that the scheme preserves the physical properties of the model and gives results that are qualitatively equivalent to the real dy
Lyapunov functions for a generalized Gause-type model
β Scribed by A. Ardito; P. Ricciardi
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 510 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0303-6812
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β¦ Synopsis
Lyapunov functions are given to prove the global asymptotic stability of a large class of predator-prey models, including the ones in which the intrinsic growth rate of the prey follows the Ricker-law or the Odell generalization of the logistic law, and the functional predator response is of Holling type.
π SIMILAR VOLUMES
A heuristic scheme is described for constructing Lyapunov v-functions, generalizing the classical method for constructing these functions from the first integrals of the equations of motion under investigation (or from the integrals of a comparison system). It is shown that the generalized scheme in
A Lyapunov function for continuous time Leslie-Gower predator-prey models is introduced. Global stability of the unique coexisting equilibrium state is thereby established. @ 2001 Elsevier Science Ltd. All rights reserved.