隨機環境下兩性族群繁衍過程之滅種機率分析

Abstract

我們將介紹一個離散時間下的兩性族群繁衍過程，此兩性族群繁衍過程是在隨機環境過程中進行。而隨機環境過程中的環境變數彼此獨立且不一定具有相同分配。利用推導兩性族群繁衍過程的極限機率，找出經過無窮世代交替後極限機率與滅種機率的關係。最後利用模擬實驗估計滅種機率，找出各參數和滅種機率的關係

We introduce a model of discrete-time two-sex branching processes with offspring and mating in a random environment. The environmental process develops from independent but not necessarily identically distributed random vector. The limiting probability of two-sex branching processes is derived. We determine some relationships among the limiting probability and extinction probability. The simulated examples are given as the estimations of extinction probability.