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Leslie's prey–predator model in discrete time.
- Source :
-
International Journal of Biomathematics . Aug2020, Vol. 13 Issue 6, pN.PAG-N.PAG. 25p. - Publication Year :
- 2020
-
Abstract
- We consider the Leslie's prey–predator model with discrete time. This model is given by a nonlinear evolution operator depending on five parameters. We show that this operator has two fixed points and define type of each fixed point depending on the parameters. Finding two invariant sets of the evolution operator, we study the dynamical systems generated by the operator on each invariant set. Depending on the parameters, we classify the dynamics between a predator and a prey of the Leslie's model. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INVARIANT sets
*NONLINEAR operators
*PREDATION
*DYNAMICAL systems
Subjects
Details
- Language :
- English
- ISSN :
- 17935245
- Volume :
- 13
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- International Journal of Biomathematics
- Publication Type :
- Academic Journal
- Accession number :
- 145623532
- Full Text :
- https://doi.org/10.1142/S1793524520500539