Population Simulator
教育
免費 · App 內購買 · 專為 iPad 設計。尚未針對 macOS 驗證。
"Population simulator" is an application to visually see the changes in the population by using "Logistic Map".
You can see the change in the population by the Logistic Map by a line graph and colony size.
You can observe the variation pattern of population variety by changing slightly the initial value.
Logistic Map is not only used in Population Ecology but also considered one of the starting point of Chaos Theory. I developed this app to help people who are studying Population Ecology or Chaos Theory.
＊Logistic Map may not necessarily apply to changes in population of actual organisms, because Logistic Map is a model of a simple change of the population.
■What is Logistic Map?
The Logistic Map is the map that is generated from the Logistic Function that has been devised as a variation model of the population of an organism.
It is expressed by the following function.
X(n+1) = a・X(n)・(1-X(n))
In the above equation, the meaning of each symbol is as follows.
・n:Generation (n=1,2,3,...)
・X(n):Value obtained by normalizing the Population of Generation n-th（0≦X(n)≦1)
・a:Value obtained by normalizing the Reproductive Rates（0≦a≦4)
You can calculate the population of the next generation from a population of a certain generation by using this function. In addition, You can predict the variation of the population over the long term by calculating the population of individuals repeatedly in this function.
■Pattern of Logistic Map
Logistic map vary widely depending on the value of "a".
・In case (0≦a≦1) : X(n) converges to 0.
・In case (1＜a≦2) : X(n) converges to 1-(1/a).
・In case (2＜a≦3) : X(n) converges to 1-(1/a) while oscillating.
・In case (3＜a≦3.5699456・・・) : X(n) oscillate between the periodic point individual Power of 2
・In case (3.5699456・・・＜a≦4) : X(n) Change irregularly.（Chaotic region）＊It may become periodically by the value of a.
Please try to observe the changes of Logistic Map by changing the various initial values.
■Main function of App
1. Simulation of changes in colony size
2. Line graph of changes in population
3. Output CSV file（Need to purchase add-on.）
4. Output Graph Image（Need to purchase add-on.）
評分與評論
- 此App未收到足夠的評分或評論以顯示概況。
・Supported iOS16.
開發者TAIKI HIRATA表明App的私隱慣例或包括下列資料的處理。詳情請參閲 開發者的私隱政策 。
不會與你連結的資料
開發者可能會收集以下資料，但不會連結你的個人身份：
- 使用資料
輔助使用
開發者尚未表示此 App 支援哪些輔助使用功能。 進一步了解
資料
- 供應商
- TAIKI HIRATA
- 大小
- 5.2 MB
- 類別
- 教育
- 相容性
須使用 iOS 15.0 或以上版本。
- iPhone
須使用 iOS 15.0 或以上版本。 - iPad
須使用 iPadOS 15.0 或以上版本。 - iPod touch
須使用 iOS 15.0 或以上版本。 - Mac
須使用 macOS 12.0 或以上版本及配備 Apple M1 或以上版本晶片的 Mac。 - Apple Vision
須使用 visionOS 1.0 或以上版本。
- iPhone
- 語言
- 日文、英文
- 年齡分級
4+
- 4+
- App 內購買
是
- Add Output Function USD 0.99
- 版權
- © TAIKI HIRATA