Existence of Periodic Solutions for Continuous and Discrete Time Predator-Prey Systems with Various Functional Response

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Jahani Rad, Mehdi | 2011

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 42482 (02)
University: Sharif University of Technology
Department: Mathematical Sciences
Advisor(s): Hesaaraki, Mahmoud
Abstract:
The predator – prey model is arises when the growing rate of one type decreased and the growing rate of another type increased. In this project, in chapters 2,3,4 and 5 we will describe the existence of periodic solutions for predator-prey systems and introduce some classical techniques for finding this solutions which the most important of them is the continuation theorem, for using this theorem we must find the open set Ω which by the conditions on Fredholm mapping L and the mappings Q , N we solve the equation Lx=Nx . In chapter 2 we study the periodic solutions of the below systemx2(k)
Keywords:
Predator-Prey System ; Periodic Orbits ; Continuation Theorem ; Coincidence Degree ; Functional Response ; Time Scale

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