Nonergodic Quadratic Operators for a Two-Sex Population-Reference-Cited by-同舟云学术

Nonergodic Quadratic Operators for a Two-Sex Population

Published:2014-01 Issue:8 Volume:65 Page:1282-1291
ISSN:0041-5995
Container-title:Ukrainian Mathematical Journal
language:en
Short-container-title:Ukr Math J

Author:

Ganikhodzhaev N. N.,Zhamilov U. U.,Mukhitdinov R. T.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11253-014-0858-2.pdf

Reference12 articles.

1. S. N. Bernstein, “The solution of a mathematical problem related to the theory of heredity,” Uchen. Zapiski NI Kaf. Ukr. Otd. Mat., No 1, 83–115 (1924).

2. H. Kesten, “Quadratic transformations: a model for population growth. I, II,” Adv. Appl. Probab., No. 2, 1–82, 179–228 (1970).

3. Yu. I. Lyubich, “Mathematical structures in population genetics,” Biomathematics, 22 (1992).

4. R. N. Ganikhodzhaev, “Quadratic stochastic operators, Lyapunov functions, and tournaments,” Mat. Sb., 83, No. 8, 121–140 (1992).

5. R. N. Ganikhodzhaev, “Map of fixed points and Lyapunov functions for one class of discrete dynamical systems,” Mat. Zametki, 56, 1125–1131 (1994).

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