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Sigmoid growth curve define by...

Sigmoid growth curve define by

A

Malthus

B

Adam Smith

C

Verhulst

D

Charles Darwin

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### Step-by-Step Solution: 1. **Understanding the Sigmoid Growth Curve**: - The sigmoid growth curve is a graphical representation of population growth that shows how a population increases rapidly at first, then slows down as it approaches a certain limit, resulting in an S-shaped curve. 2. **Defining the Sigmoid Growth Curve**: - The sigmoid growth curve is defined by logistic growth, which describes how populations grow in an environment with limited resources. 3. **Key Contributors**: - The sigmoid growth curve was defined by several scientists, including Warholz and Perl. Their work contributed significantly to our understanding of logistic growth. 4. **Logistic Growth Equation**: - The mathematical representation of logistic growth is given by the equation: \[ \frac{dn}{dt} = r \cdot n \cdot \left( \frac{k - n}{k} \right) \] - Where: - \( n \) = population density at time \( t \) - \( r \) = intrinsic rate of natural increase - \( k \) = carrying capacity of the environment 5. **Interpreting the Variables**: - \( \frac{dn}{dt} \): This represents the change in population size over time. - \( r \): This is the rate at which the population grows when resources are unlimited. - \( k \): This is the maximum population size that the environment can sustain. 6. **Conclusion**: - The sigmoid growth curve is fundamentally linked to logistic growth, and it is characterized by its S-shape due to the initial exponential growth followed by a slowdown as the population reaches its carrying capacity.

### Step-by-Step Solution: 1. **Understanding the Sigmoid Growth Curve**: - The sigmoid growth curve is a graphical representation of population growth that shows how a population increases rapidly at first, then slows down as it approaches a certain limit, resulting in an S-shaped curve. 2. **Defining the Sigmoid Growth Curve**: - The sigmoid growth curve is defined by logistic growth, which describes how populations grow in an environment with limited resources. ...
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