果蠅在不同運動模式下的存活率分析

Abstract

研究生物運動的各種行為，一直都是許多學者們熱愛研究的主題之一。許多學者想運用數學的方法去解釋與描述生物的運動特徵，而果蠅因為繁衍數度快且適應力好，即便他在生活中很煩人，但也成為了許多學者喜愛的研究對象。\n\n從過去的文獻中發現，果蠅的運動模式主要可分為「萊維飛行」與「布朗運動」，由於此兩種模式有著很明顯的差異，因此本研究想藉由此兩種運動模式的特性，去分析兩者差異對總體存活率的影響，了解在一個群體之中怎樣的比例分配下，會帶給整體果蠅群體最大的效益。\n\n本研究使用Python進行果蠅運動行為的模擬，模擬十隻果蠅一起合作覓食，在這過程中也包含死亡與繁殖。我們模擬會分成十一種不同運動模式的比例分配，統計他們找尋到食物的次數、時間還有不同運動模式的死亡個數與死亡的原因。我們從數據中發現，若十隻果蠅都做相同的運動模式時，整體的死亡率是相當高的，相對地找尋食物的效率也是差的，而存活率較高的比例落在 2:8 與 3:7 (萊維飛行：布朗運動)，但隨著萊維飛行的比例變高時，存活率則是持續下降。

The study of various behaviors of biological movement has always been one of the topics that many scholars love to study. Many scholars want to use mathematical methods to explain and describe the movement characteristics of organisms. Drosophila reproduces several times quickly and has good adaptability. Even though it is annoying in life, it has become a favorite research object of many scholars.\n\nIt has been found from the past literature that the movement patterns of fruit flies can be mainly divided into 「Lévy flight」 and 「Brownian motion」. Since these two patterns have obvious differences, this study intends to use these two movement patterns characteristics, to analyze the impact of the difference between the two on the overall survival rate, and understand what proportion of a group will bring the greatest benefit to the overall fruit fly population.\n\nThis study uses Python to simulate the movement behavior of fruit flies, simulating ten fruit flies cooperating for food, and this process also includes death and reproduction. Our simulation will be divided into the proportional distribution of six different movement patterns, and count the number of times and time they find food, as well as the number of deaths and the cause of death in different movement patterns. We found from the data that if ten fruit flies all do the same movement patterns, the overall mortality rate is quite high, and the relative efficiency of finding food is also poor, and the higher survival rate falls at 2:8 and 3:7.(Lévy flight：Brownian motion), but as the proportion of Lévy flight becomes higher, the survival rate continues to decline.