Detailed Analysis of a Nonlinear Prey-Predator Model

Journal of Biological Physics - Tập 23 Số 1 - Trang 11-20 - 1997
DANCA, MARIUS1, CODREANU, STELIANA2, BAKÓ, BOTOND2
1Technical University, Cluj-Napoca, Cluj Napoca, Romania
2Department of Theoretical Physics, Babe-Bolyai University, Cluj-Napoca, Romania

Tóm tắt

A model of competition between populations of two species, describedby a two dimensional map, is analytically and numerically studied. A rich dynamics is observed.

Từ khóa


Tài liệu tham khảo

citation_title=Leçons sur la Théorie Mathématique de la Lutte pour la Vie; citation_publication_date=1931; citation_id=CR1; citation_author=V. Volterra; citation_publisher=Gauthier–Villars

citation_title=Discrete Dynamical Systems and Chaos; citation_publication_date=1992; citation_id=CR2; citation_author=M. Martelli; citation_publisher=Longman

Basykin, A.D.: The Volterra system the Mikhaelis–Mente equation, Problems of Mathematical Genetics(Novosibirsk SO AN SSSR) 103(1974), (in Russian).

Landa, P.S.: Self oscillatory models of some natural and technical processes, in: Edwin Kreuzer and Günter Schmidt (eds.), Mathematical Research, Vol. 72, p. 23. Academie Verlag, 1993.

citation_journal_title=Math. Biosci.; citation_title=A model of predator-prey dynamics as modified by the action of a parasite; citation_author=H.I. Freedman; citation_volume=99; citation_publication_date=1990; citation_pages=143; citation_id=CR5

Tran Van Nhung and Trinh Tuan Anh: An extension of Freedman’s results on a model of predator-prey dynamics as modified by the action of a parasite. Trieste: International Centre of Theoretical Physics, IC/93/391.