The Stability of Gauss Model Having One-Prey and Two-Predators
Author(s) -
Ali Farajzadeh,
M. H. Rahmani Doust,
F. Haghighifar,
D. Băleanu
Publication year - 2011
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/219640
Subject(s) - predation , stability (learning theory) , gauss , mathematics , dynamics (music) , statistical physics , ecology , computer science , biology , physics , quantum mechanics , machine learning , acoustics
The study of the dynamics of predator-prey interactions can be recognized as a major issue in mathematical biology. In the present paper, some Gauss predator-prey models in which three ecologically interacting species have been considered and the behavior of their solutions in the stability aspect have been investigated. The main aim of this paper is to consider the local andglobal stability properties of the equilibrium points for represented systems. Finally, stability of some examples of Gauss model with one prey and two predators is discussed
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