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A discrete prey-predator model preserving the dynamics of a structurally unstable Lotka-Volterra model.
- Source :
- Journal of Difference Equations & Applications; Dec2007, Vol. 13 Issue 12, p1155-1170, 16p, 8 Graphs
- Publication Year :
- 2007
-
Abstract
- Leslie's method to construct a discrete two dimensional dynamical system dynamically consistent with the Lotka-Volterra type of competing two species ordinary differential equations is applied in a newly extended manner for the Lotka-Volterra prey-predator system which is structurally unstable. We show that, independently of the time step size, the derived discrete prey-predator system is dynamically consistent with the continuous counterpart, keeping the nature of neutrally stable periodic orbit. Further, we show that the extended method to construct the discrete prey-predator system can provide a dynamically consistent model also for the logistic Lotka-Volterra one. [ABSTRACT FROM AUTHOR]
- Subjects :
- VOLTERRA operators
DIFFERENTIAL equations
DYNAMICS
MATHEMATICAL models
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 10236198
- Volume :
- 13
- Issue :
- 12
- Database :
- Complementary Index
- Journal :
- Journal of Difference Equations & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 27529659
- Full Text :
- https://doi.org/10.1080/10236190701464996