To gain extra practice complete the question by creating a differential equation using the information from the bullet points below.

Meerkats are highly social small carnivores that live in southern Africa. They rely on each other to raise their young. Use the following assumptions to model the number of adult meerkats, M, in a population. You can invent parameters as necessary.

This is not mandatory, but only available to help you gain better understanding of the material, therefore there will be no portal for you to turn it in. You will not turn this in for points/grades.

- The per capita rate at which meerkats give birth to babies who survive to adulthood is a steep sigmoid function of the adult population, with higher reproductive success at higher populations.

- Meerkats die of natural causes at a constant per capita rate d.

- Meerkats are preyed upon by eagles and jackals. These predators have many other

prey, so their population does not depend on the meerkat population.

- The rate at which jackals prey on meerkats is a nonsigmoid saturating function of the meerkat population.

- The rate at which eagles prey on meerkats is a sigmoid function of the meerkat population. The sigmoid is not very steep.