Question: Consider a population that grows with an intrinsic rate of growth that decays exponentially: \(\frac{dN}{dt}={{r}_{0}}{{e}^{-\alpha t}}N\)

Solve this non autonomous ordinary differential equation. Sketch typical solution curves. What is the carrying capacity and how does it differ From the carrying capacity of the logistic equation? How does this differ from the logistic equation? Show that the Gampertz equation can$ be rewritten as \(\frac{d N}{d t}=\alpha N \ln \left(\frac{k}{N}\right)\) where $k$ is the carrying capacity.

Price: $2.99

Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document