Textbook ExpertVerified Tutor
30 Dec 2021
Given information
We are given that 
, 
, and 
represent the populations of these three species (Fly, Frog, Crocodile) at time 
.
Step-by-step explanation
Step 1.
Let us start with the assumption that,
In absence of frogs, Population of flies can be modeled by
Note that 
is a positive constant, because population of flies must increase in absence of frogs.
is a positive constant, because population of flies must increase in absence of frogs.The interaction between flies and the frog population will hurt the population of flies, therefore we subtract 
from the RHS.
from the RHS.
Let us start with the assumption that,
In absence of flies, Population of frogs can be modeled by
Note minus sign, It is because population of frogs will decrease in absence of food.
The interaction between flies and the frog population will help the population of frogs, therefore we add 
in the RHS.
in the RHS.
The interaction between frog and the crocodile population will hurt the population of frogs, therefore we subtract 
in the RHS.
in the RHS.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 2a
- Problem 2b
- Problem 3a
- Problem 3b
- Problem 4
- Problem 5a
- Problem 5b
- Problem 6a
- Problem 6b
- Problem 7
- Problem 8
- Problem 9
- Problem 10a
- Problem 10b
- Problem 10c
- Problem 10d
- Problem 10e
- Problem 11a
- Problem 11b
- Problem 11c
- Problem 11d
- Problem 12a
- Problem 12b
- Problem 12c
- Problem 12d
- Problem 12e
- Problem 12f
- Problem 50b