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tutorial_15-implementing_using_one_compartment [2023/04/03 17:14]
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}} {{rabbitfoxmodel3.png?600}}
  
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   * For //Animals[Foxes] = Init_population//   * For //Animals[Foxes] = Init_population//
  
-Values for parameter Initial population: +
-  * //Init_population[Rabbits]= 1000// +
-  * //Init_population[Foxes]= 4//+
  
  
 ====Option 2==== ====Option 2====
 +Create parameters according to table below:
  
-**Initial Conditions** for compartment: +^Parameter          ^Unit      ^Value ^Description                                                     ^ 
-  * For //Animals[Rabbits] = Init_population// +|a                  |1/year    |0.04  |the natural growth rate of rabbits in the absence of predation 
-  * For //Animals[Foxes] = Init_population//+|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: **dy/dt** for compartment:
-  * Rabbits: //dAnimal/dt=Animal[Rabbits]·a-b·Animal[Rabbits]·Animal[Foxes]// +  * Rabbits: //dAnimals/dt=Animals[Rabbits]·a-b·Animals[Rabbits]·Animals[Foxes]// 
-  * Foxes: //dAnimal/dt=Animal[Rabbits]·Animal[Foxes]·e·b-c·Animal[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.1680534877.txt.gz · Last modified: 2023/04/03 17:14 by dmytroh