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What Happens As You Increase Carrying Capacity, K?

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What happens as you keep everything else constant and increase carrying capacity, K? Decrease K? Sketch plots of your results.
Increasing carrying capacity K and keeping everything else at a constant rate leads to an increase of the slope which displays that the population will increase and reach the carrying capacity.

By decreasing carrying capacity, K and keeping everything else constant gradually decreases the slope that leads to a decrease in the population.

2A. What happens as you increase population growth rate, r, while keeping carrying capacity steady. Decrease r? Sketch your results.
By increasing the population growth rate, r, while keeping carrying capacity steady, leads the population to grow faster.

By decreasing …show more content…
What happens as you increase N(0) from below K to above K? Sketch plots of the different behaviors.
If you increase N(0) from below K then the population will be constant and gradually increase.

If you increase N(0) from above K then the initial population size is above the carrying capacity which leads it to die out quickly.

4A. Leaving all other parameters alone, try various changes to the initial population values N(0). Is the stability affected (whether one or the other population always wins or both coexist)?
When you increase N1(0), Species 1 the trajectory moves to the right and stability is affected because r was changed.

As you increase N2(0) for species 2 the trajectory gets smaller and stability is affected because r was changed.

4B. Predict and describe what happens as you increase r?

When increasing r for Species 1, the trajectory changes and gets closer to the intersection between the two species of lines. Affects the population growth. Thus, you can see that when population size of species #1 (red line) is at zero (x-axis), population size for species #2 (blue line) is 700 (y-axis).

When increasing r for Species 2, the expected trajectory of population growth gets smaller and shifts to the

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