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Student Project: Logistic Equation with a Threshold Population An improvement to the logistic model includes a threshold population. The threshold population is defined to be the minimum population that is necessary for the species to survive. We use the variable T to represent the threshold population. A differential equation that incoqoraes both the threshold population T and carrying capacity K is
where r represents the growth rate. as before.
3. What is the limiting population for each initial population you chose in step 2? (Hint: use the slope field to see what happens for various Initial populations. i.e., look for the horizontal asymptotes of your solutions.)
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