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The first mathematical model
Dennis den Ouden-van der Horst
The first mathematical model Modelling a rainbowfish population - - PowerPoint PPT Presentation
The first mathematical model Modelling a rainbowfish population - - PowerPoint PPT Presentation
The first mathematical model Modelling a rainbowfish population Dennis den Ouden-van der Horst Rainbowfish Predict the number of rainbowfish in our aquarium over time. Rainbowfish Predict the number of rainbowfish in our aquarium over time. :
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Rainbowfish
: time in days : Number of rainbowfish Predict the number of rainbowfish in our aquarium over time.
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Rainbowfish
: time in days : Number of rainbowfish Initially : fish Predict the number of rainbowfish in our aquarium over time.
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Rainbowfish
: time in days : Number of rainbowfish Initially : fish Birth rate : per day Predict the number of rainbowfish in our aquarium over time.
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Rainbowfish
: time in days : Number of rainbowfish Initially : fish Birth rate : per day Death rate : per day Predict the number of rainbowfish in our aquarium over time.
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The balance equation
SLIDE 8
The balance equation
: small time interval
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The balance equation
Change in during : : small time interval
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The balance equation
Change in during : : small time interval
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The balance equation
Change in during : : small time interval
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The balance equation
Change in during : : small time interval
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The balance equation
Change in during : : small time interval
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The balance equation
Change in during : : small time interval
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The balance equation
Change in during : : small time interval
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The balance equation
Change in during : : small time interval
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The balance equation
Change in during : : small time interval
SLIDE 18
The balance equation
Change in during : : small time interval
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The balance equation
Change in during : : small time interval
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The balance equation
Change in during : : small time interval
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The balance equation
Change in during : : small time interval
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The balance equation
Change in during : : small time interval
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The differential equation
A differential equation is an equation containing a derivative.
Balance equation :
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The differential equation
A differential equation is an equation containing a derivative. A derivative:
Balance equation :
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The differential equation
A differential equation is an equation containing a derivative. A derivative:
Derivative of : Balance equation :
SLIDE 26
The differential equation
A differential equation is an equation containing a derivative. A derivative:
Derivative of : Balance equation :
SLIDE 27
The differential equation
A differential equation is an equation containing a derivative. A derivative:
Derivative of : Balance equation :
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The differential equation
A differential equation is an equation containing a derivative. A derivative:
Derivative of : Balance equation :
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The differential equation
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The differential equation
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The differential equation
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The differential equation
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The differential equation
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The differential equation
SLIDE 35