Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Please solve with Matlab using ODE solver using k3=0.00004 and tfinal = 800 days There are initially 500 rabbits (x) and 200 foxes (y) on
Please solve with Matlab using ODE solver using k3=0.00004 and tfinal = 800 days
There are initially 500 rabbits (x) and 200 foxes (y) on Farmer Oat's property near Ria, Jofostan. Use Polymath or MATLAB to plot the concentration of foxes and rabbits as a function of time for a period of up to 500 days. The predator-prey relationships are given by the following set of coupled ordinary differential equations: dtdx=k1xk2xydtdy=k3xyk4y Constant for growth of rabbits k1=0.02 day 1 Constant for death of rabbits k2=0.00004/( day no. of foxes) Constant for growth of foxes after eating rabbits k3=0.0004/( day no. of rabbits) Constant for death of foxes k4=0.04day1 What do your results look like for the case of k3=0.00004/( day no. of rabbits) and tfinal=800 days? Also, plot the number of foxes versus the number of rabbits. Explain why the curves look the way they do. Polymath Tutorial (https://www.youtube.com/watch?v=nyJmt6cTiL4)
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started