Detailed Analysis of a Nonlinear Prey-predator Model

Journal of Biological Physics

Volumn 23, Issue 1, 1997, Pages 11-20

  Danca, Marius ^a   Codreanu, Steliana ^b   Bakó, Botond ^b  

^a TECHNICAL UNIVERSITY OF CLUJ NAPOCA   (Romania)

^b BABE BOLYAI UNIVERSITY   (Romania)

Author keywords

Deterministic chaos; Hopf bifurcation; Nonlinear dynamics; Prey predator model; Strange attractor; Two dimensional mapping

Indexed keywords

EID: 2342561962     PISSN: 00920606     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004918920121     Document Type: Article

References (6)

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2. Martelli, M.: Discrete Dynamical Systems and Chaos [Pitman Monographs and Surveys in Pure and Applied Mathematics, Vol. 62]. New York: Longman, 1992.
3. Basykin, A.D.: The Volterra system the Mikhaelis-Mente equation, Problems of Mathematical Genetics (Novosibirsk SO AN SSSR) 103 (1974), (in Russian).
4. Landa, P.S.: Self oscillatory models of some natural and technical processed, in : Edwin Kreuzer and Günter Schmidt (eds.), Mathematical Research, Vol. 72, p. 23. Academie Verlag, 1993.
5. Freedman, H.I.: A model of predator-prey dynamics as modified by the action of a parasite, Math. Biosci. 99 (1990), 143.
6. 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.