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Bu calismada, fark denklem sistemiyle olusturulmus bir ot-otcul matematiksel modeli goz onune alinmistir. Center Manifold teoremi kullanilarak sistemde Neimark Sacker catallanmasinin olusmasi icin gerekli olan ozdeger esligi, transversality ve nonresonance kosullari analiz edilmis ve teorik olarak bu kosullarin saglandigi gosterilmistir. Elde edilen bu teorik kosullarin dogrulugunu gostermek icin bazi parametre degerleri belirlenmis ve bu parametre degerleri icin sistemin catallanma diagrami, faz diyagramlari elde edilmistir.

Bifurcation Analysis of a Plant-Herbivore Model Constructed with System of Difference Equations