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一類時滯反應擴散捕食被捕食模型的Bogdanov-Takens分支分析

發布者:文明辦發布時間:2019-06-24瀏覽次數:121


主講人:劉霞 河南師范大學副教授


時間:2019年7月9日9:40


地點:徐匯校區3號樓332報告廳


舉辦單位:數理學院


內容介紹:建立了一類具有fear effect和二次死亡率的比率依賴時滯反應擴散捕食被捕食模型。首先分析了常微情形下正平衡點的存在條件,并用數值模型的方法畫出了分支圖;  接著討論了原模型在某個正平衡點處存在Bogdanov-Takens分支(也稱二重零根分支)的條件,最后應用偏泛函微分方程的中心流形定理和標準型理論,計算出在該正平衡點處與原模型等價的二維常微分方程,通過分析該方程的動力學性質,得到原系統會出現相應動力學性質的參數范圍。  

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