Predator-Prey Model: Solving Equations & Plotting Results

  • Thread starter Thread starter 2slowtogofast
  • Start date Start date
  • Tags Tags
    Model
Click For Summary
The discussion focuses on a predator-prey model represented by the equations dR/dt = aR - bRF and dF/dt = bRF - cF, with a specific modification to the parameter b. Initial plots reflect the expected predator-prey dynamics, where one species increases while the other decreases, followed by a peak and subsequent decline. However, the model eventually shows both populations growing exponentially, raising questions about the accuracy of the code. The main inquiry revolves around the implications of a decreasing b on the populations, specifically whether the fox population should also rise alongside the rabbit population. The discussion highlights the complexities of modeling predator-prey interactions and the need for clarity on the behavior of both species under changing parameters.
2slowtogofast
Messages
134
Reaction score
1
I modeled these equations

dR/dt = aR - bRF

dF/dt = bRF - cF where b = bo*exp(-0.01*t*log(F))

my plots show in the beginginng the normal predator prey relationship one species is incresing the other decreasing then the first one peaks and start decreeasing while the other starts increasing, but then that stops and the both grow exponetially. Is this possible or do you think there is a problem with my code. i'll attach a figure
 

Attachments

Last edited:
Physics news on Phys.org
so my main question is if b decreases what should happen. its easy to see in the first equation that the rabbit population should rise, but what about the foxes should they rise as well that is where i am confused
 

Thread 'Distance between a Clock's hands when the distance is increasing most rapidly'

Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?
View full post »

Similar threads

High School How Can We Model the Coronavirus Using Predator-Prey Dynamics?
  • · Replies 18 ·
Replies
18
Views
3K
Solving Predator & Prey Equation: Rabbit Pop w/ No Wolves
  • · Replies 4 ·
Replies
4
Views
2K
Lotka-Volterra Equation Assistance
  • · Replies 6 ·
Replies
6
Views
2K
Solve Predator-Prey System: Find Constant Solution
  • · Replies 1 ·
Replies
1
Views
2K
Modeling Population Dynamics of Flies, Frogs, and Crocodiles
  • · Replies 17 ·
Replies
17
Views
4K
Notation Question (Differential Equations)
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Modeling the concentration of gas constituents in a Force Field
  • · Replies 6 ·
Replies
6
Views
1K
Where Did I Go Wrong Solving the Inflation Model Integral?
  • · Replies 1 ·
Replies
1
Views
1K
Solving the Predator-Prey Model: Foxes & Rabbits
  • · Replies 3 ·
Replies
3
Views
4K
Lotka-Volterra model Euler's Method
  • · Replies 11 ·
Replies
11
Views
4K