• 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： 本文以微分方程式來探討利它棲群在平等受益之情況下的演化條件。我們將求得利它基因頻率fn(a)之公式及在棲群中利它個體及非利它個體之數量，並舉例證明利它行為之演化並不保證利它棲群之延續。
• 英文摘要： The evolution of indiscriminate altruism in animal populations is examined using coupled VonFoerster equations. Analytie expression for the gene frequency of altruists is derived. We also obtainformulas for the numbers of the altruistic and nonaltruistic groups at each generation in terms of the age-dependent ratio of altruists in the population during each generation, (a). We then use our results todemonstrate tne distinction between the evolution of altrulsm and the survival of an altruzstic soeiety, andour diseussion is then illustrated with simulated examples.
• 中文關鍵字： indiscriminate altruism; altruistic frequency; semelparous population; Von Foerster equations; persistence
• 英文關鍵字： --