Bazykyn Predator-Prey Model

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Nouri, Saeede | 2015

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 47949 (02)
University: Sharif University of Technology
Department: Mathematical Sciences
Advisor(s): Hesaraki, Mahmoud
Abstract:
prey and predator model occurs when the growth rate of species decline and increase the growth rate of other species. In the first chapter of this thesis review of basic concepts and theorems are important. In the second quarter, positive solutions in a heterogeneous system model release Bazykin with classic techniques to points most important of which is the case. In the third season, Stability and bifurcation system and predator prey Bazykin model with the function response Bdyngtn- De Angelis to equilibrium the points. In the fourth chapter in the normal form prey and predator system model Bazykin discuss
Keywords:
Predator-Prey System ; Local Stability ; Global Stability ; Normal Form ; Hopf Bifurcation ; Maximum Principle ; Degree Theory