Team:Evry/LogisticFunctions

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<p>When we started to model biological behaviors, we realised very soon that we were going to need a function that simulates a non-exponential evolution, that would include a simple speed control and a maximum value.</p>
<p>When we started to model biological behaviors, we realised very soon that we were going to need a function that simulates a non-exponential evolution, that would include a simple speed control and a maximum value.</p>
<p>Such functions, named logistic functions were introduced around 1840 by M. Verhulst.</p>
<p>Such functions, named logistic functions were introduced around 1840 by M. Verhulst.</p>
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<p>EQUATION DE VERHULST</p>
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<p><img src="http://upload.wikimedia.org/math/b/e/3/be3fb0b303c46c4d582104ed4ef42636.png"/></p>
<p>These functions looked perfect, but we needed more control : we needed to set a starting value and a precision. The addition of the parameters d and p allowed us to directly control these crucial informations. </p>
<p>These functions looked perfect, but we needed more control : we needed to set a starting value and a precision. The addition of the parameters d and p allowed us to directly control these crucial informations. </p>
<p>NOTRE EQUATION
<p>NOTRE EQUATION

Revision as of 12:53, 21 August 2013

Iron coli project

Logistic functions :

When we started to model biological behaviors, we realised very soon that we were going to need a function that simulates a non-exponential evolution, that would include a simple speed control and a maximum value.

Such functions, named logistic functions were introduced around 1840 by M. Verhulst.

These functions looked perfect, but we needed more control : we needed to set a starting value and a precision. The addition of the parameters d and p allowed us to directly control these crucial informations.

NOTRE EQUATION

References: