Question

Problem 8b

Answer 1

Given information

The Lotka-Volterra equation for the population of food fish (F) is given as:

 

Step-by-step explanation

Step 1.

Considering the scenario when the sharks are absent, the population of the food fish would increase exponentially and could be shown as follows:

 

Here, k is a positive constant.

 

The Lotka-Volterra equation for the population of sharks is,

 

 

Now, considering the scenario when the food fish are absent, the population of the sharks would decrease at a proportional rate to themselves and could be shown as follows:

 

Here, r is a positive constant.