• 作者： 謝英恆
• 作者服務機構： 國立中興大學應用數學系
• 中文摘要： 本研究報告以非線性差分方程之生物棲群模型來探討植物及昆蟲界中常見之週期性現象。本人利用穩定性分析來尋求生物棲群趨向週期性之條件，並以數值模擬驗證之。當生物棲群之週期大於3時，本人將以數值實驗舉例提出可能發生之特殊現象。
• 英文摘要： In this work, we propose a population model of difference equations to explore the phenomenon ofperiodicity which occurs frequently among biological populations, most notably in species of plants andinsects. Local stability analysis was made to determine the conditions under which the population will be-come periodical. The analysis was done for the cases of populations with 2 and 3 age-classes, and numericalsimulations were made for the latter case to ensure its global properties. For the case of population withmore than three age-classes, we used numerical examples to highlight the similarities and differences.
• 中文關鍵字： periodical population; stable equilibrium; semelparous Species
• 英文關鍵字： --