Fun With Graphs- Logistic Growth

Fun With Graphs Logistic Growth Mark A. McGinley Honors College and Department of Biological Sciences Texas Tech University

Hopefully Helpful Hint #1 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Hopefully Helpful Hint #2 ,[object Object],[object Object],[object Object],[object Object],[object Object]

What is the Logistic Growth Equation?

Logistic Growth Equation ,[object Object],[object Object]

Logistic Growth- Graph 1 ,[object Object],[object Object],[object Object]

Logistic Growth r vs N Per Capita Growth Rate r Population Size N r max k 0

Describe the Graph ,[object Object],[object Object],[object Object],[object Object]

Logistic Growth N vs t, N intially <<K

Describe the Graph ,[object Object],[object Object]

Logistic Growth N vs t, N initially >> k Time Population Size N K K

Logistic Growth dN/dt vs N, N initially << K 0

Describe the Graph ,[object Object]

Logistic Growth dN/dt vs N, N initially >> k Population Growth Rate dN/dt xxxxxx 0 (Please ignore the numbers writen on the graph. Note that the red line represents a population growth rate of zero) Time

Logistic Growth dN/dt vs N Population Size N Population Growth Rate dN/dt 0 K

Note ,[object Object],[object Object],[object Object]

Fun With Graphs- Logistic Growth

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Fun With Graphs- Logistic Growth