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Volterra quadratic stochastic operators of a two-sex population.
- Source :
-
Ukrainian Mathematical Journal . Dec2011, Vol. 63 Issue 7, p1136-1153. 18p. - Publication Year :
- 2011
-
Abstract
- We introduce the notion of Volterra quadratic stochastic operators of a two-sex population. The description of the fixed points of Volterra quadratic stochastic operators of a two-sex population is reduced to the description of the fixed points of Volterra-type operators. Several Lyapunov functions are constructed for the Volterra quadratic stochastic operators of a two-sex population. By using these functions, we obtain an upper bound for the ω-limit set of trajectories. It is shown that the set of all Volterra quadratic stochastic operators of a two-sex population is a convex compact set, and the extreme points of this set are found. Volterra quadratic stochastic operators of a two-sex population that have a 2-periodic orbit (trajectory) are constructed. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00415995
- Volume :
- 63
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Ukrainian Mathematical Journal
- Publication Type :
- Academic Journal
- Accession number :
- 69653511
- Full Text :
- https://doi.org/10.1007/s11253-011-0568-y