Messanae Universitas Studiorum

Some results on the dynamics generated by the Bazykin model

Georgescu, Raluca Mihaela and Georgescu, Adelina (2006) Some results on the dynamics generated by the Bazykin model. Atti della Accademia Peloritana dei Pericolanti - Classe di Scienze MM.FF.NN., LXXXIV (1). ISSN 1825-1242


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A predator-prey model formerly proposed by A. Bazykin et al. [Bifurcation diagrams of planar dynamical systems (1985)] is analyzed in the case when two of the four parameters are kept fixed. Dynamics and bifurcation results are deduced by using the methods developed by D. K. Arrowsmith and C. M. Place [Ordinary differential equations (1982)], S.-N. Chow et al. [Normal forms and bifurcation of planar fields (1994)], Y. A. Kuznetsov [Elements of applied bifurcation theory (1998)], and A. Georgescu [Dynamic bifurcation diagrams for some models in economics and biology (2004)]. The global dynamic bifurcation diagram is constructed and graphically represented. The biological interpretation is presented, too.

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Item Type: Article
Subjects: M.U.S. - Contributi Scientifici > 01 - Scienze matematiche e informatiche
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali
Depositing User: Mr Nunzio Femminò
Date Deposited: 25 Nov 2009
Last Modified: 13 Apr 2010 11:15

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