Question: Suppose p = p(a + cp) a > 0, c > 0 (i) Explain this equation. (ii) Draw the phase line for this population and

Suppose p˙ = p(a + cp) a > 0, c > 0

(i) Explain this equation.

(ii) Draw the phase line for this population and show that the population tends to infinity.

(iii) Derive an explicit solution for the population and use this to show that an infinite population is reached at a finite point in time.

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