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tutorial_15-implementing_using_one_compartment [2023/04/03 16:11]
dmytroh
tutorial_15-implementing_using_one_compartment [2023/04/03 17:38] (current)
dmytroh
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 ====Option 1==== ====Option 1====
 +
 +Create parameters according to table below:
 +
 +^Parameter          ^Unit      ^Value ^Description                                                     ^
 +|a                  |1/year    |0.04  |the natural growth rate of rabbits in the absence of predation  |
 +|c                  |1/year    |0.2   |the natural death rate of foxes in the absence of food (rabbits)|
 +|b                  |1/(year F)|5.0E-4|the death rate per encounter of rabbits due to predation        |
 +|e                  |F/R       |0.1   |the efficiency of turning predated rabbits into foxes           |
 +|Init_population                  |n         |Initial animal population        |
 +
 +Values for parameter Initial population:
 +  * //Init_population[Rabbits]= 1000//
 +  * //Init_population[Foxes]= 4//
 +
 +Create source, sink, compartments and transfer according to picture below:
 +{{rabbitfoxmodel3.png?600}}
 +
 Equations for Transfers: Equations for Transfers:
   * //AnimalBirth[Rabbits]=Animals·a//   * //AnimalBirth[Rabbits]=Animals·a//
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   * //AnimalDeath[Foxes]=c·Animals//   * //AnimalDeath[Foxes]=c·Animals//
  
-Initial Conditions for compartment:+**Initial Conditions** for compartment:
   * For //Animals[Rabbits] = Init_population//   * For //Animals[Rabbits] = Init_population//
   * For //Animals[Foxes] = Init_population//   * For //Animals[Foxes] = Init_population//
  
-Init_population[Rabbits]= 1000 
-Init_population[Foxes]= 4 
  
-<HTML> 
-<table xmlns="http://www.w3.org/1999/xhtml" style="height: 240px; width: 240px; text-align: center; font-weight: bold;"> 
- <tr> 
-  <td style="width: 68px; height: 68px; background-color: #CAEACA;">Ecosystem</td> 
-  <td style="width: 68px; height: 68px;"> </td> 
-  <td style="width: 68px; height: 68px;"> </td> 
- </tr> 
- <tr> 
-  <td style="width: 68px; height: 68px;"> </td> 
-  <td style="width: 68px; height: 68px; background-color: #C0C0C0;"> </td> 
-  <td style="width: 60px; height: 60px;"> </td> 
- </tr> 
- <tr> 
-  <td style="width: 68px; height: 68px;"> </td> 
-  <td style="width: 68px; height: 68px;"> </td> 
-  <td style="width: 68px; height: 68px; background-color: #C0C0C0;"> </td> 
- </tr> 
-</table> 
-</HTML> 
  
-//''%%Figure Ecolego matrix of one Compartment approach%%''//\\+ 
 +====Option 2==== 
 +Create parameters according to table below: 
 + 
 +^Parameter          ^Unit      ^Value ^Description                                                     ^ 
 +|a                  |1/year    |0.04  |the natural growth rate of rabbits in the absence of predation 
 +|c                  |1/year    |0.2   |the natural death rate of foxes in the absence of food (rabbits)| 
 +|b                  |1/(year F)|5.0E-4|the death rate per encounter of rabbits due to predation        | 
 +|e                  |F/R       |0.1   |the efficiency of turning predated rabbits into foxes           | 
 + 
 +Create only one compartment with name //Animals//.  
 + 
 +{{rabbitfoxmodel4.png}} 
 + 
 +**Initial Conditions** for compartment: 
 +  * For //Animals[Rabbits] = 1000// 
 +  * For //Animals[Foxes] = 4// 
 + 
 +**dy/dt** for compartment: 
 +  * Rabbits: //dAnimals/dt=Animals[Rabbits]·a-b·Animals[Rabbits]·Animals[Foxes]// 
 +  * Foxes: //dAnimals/dt=Animals[Rabbits]·Animals[Foxes]·e·b-c·Animals[Foxes]// 
  
  
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 **Solution to the excersise** **Solution to the excersise**
- +  * {{lotka-volterra.eco}} 
-  * {{tutorial:Lotka-Volterra.eco?linkonly}}+  * old one {{tutorial:Lotka-Volterra.eco?linkonly}}
  
  
tutorial_15-implementing_using_one_compartment.1680531119.txt.gz · Last modified: 2023/04/03 16:11 by dmytroh