PopulationSimulatorLogisticMap 1.1
Free Version
Publisher Description
PopulationSimulatorLogisticMap - You can simulate the change in the population by the Logistic Map.
"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
About PopulationSimulatorLogisticMap
PopulationSimulatorLogisticMap is a free app for Android published in the Teaching & Training Tools list of apps, part of Education.
The company that develops PopulationSimulatorLogisticMap is 平田 大樹. The latest version released by its developer is 1.1.
To install PopulationSimulatorLogisticMap on your Android device, just click the green Continue To App button above to start the installation process. The app is listed on our website since 2019-05-06 and was downloaded 1 times. We have already checked if the download link is safe, however for your own protection we recommend that you scan the downloaded app with your antivirus. Your antivirus may detect the PopulationSimulatorLogisticMap as malware as malware if the download link to t.hirata.logisticmap is broken.
How to install PopulationSimulatorLogisticMap on your Android device:
- Click on the Continue To App button on our website. This will redirect you to Google Play.
- Once the PopulationSimulatorLogisticMap is shown in the Google Play listing of your Android device, you can start its download and installation. Tap on the Install button located below the search bar and to the right of the app icon.
- A pop-up window with the permissions required by PopulationSimulatorLogisticMap will be shown. Click on Accept to continue the process.
- PopulationSimulatorLogisticMap will be downloaded onto your device, displaying a progress. Once the download completes, the installation will start and you'll get a notification after the installation is finished.
