Let us modify our derivation of the logistic equation. Suppose the growth rate i

Question

Let us modify our derivation of the logistic equation. Suppose the growth rate is a function of the difference between the available food, and a sub-sistence level of yearly food consumption, f_ Again assume What equation describes this situation? What properties do we suspect are valid for this functional relationship? Is there an equilibrium population? F. E. Smith suggested a different simple model of the population growth of a species limited by the food supply based on experiments on a type of water bug. As in the logistic model, the growth rate is proportional to the difference between the available food and the subsistence level of food consumption War However, previously was assumed proportional to the number of individuals of the species, Smith instead assumed that more food is necessary for survival during the growing phase of a population. Consequently a simple model would be with What differential equation describes this model? What are the equilibrium populations? Consider the following models of population growth Which of the following are reasonable models of the spread of a disease among a finite number of people:

Explanation / Answer

the growth rate = Fa - BN = dFa/dt this is a exponential function

Fa = BN + K e^t K is constant

equilibrium population is when growth is zero i.e dFa/dt =0 => Fa = BN

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