Visualisation of predator-prey system dynamics

based on the Lotka–Volterra equations. Using python.

GUI

Project uses PyQt and matplotlib.
Users can modify ODE parameters and starting conditions via interactive sliders.

Solved ODE

Visualised predator-pray system dynamics are based on slightly modified Lotka–Volterra equations Lotka–Volterra equations

Original equations

where:
x - prey population
y - predator population
a - prey population growth
b - prey mortality rate due to predation
c - predator growth rate due to predation
d - predator mortality rate

Modified equations

where:
x - prey population
y - predator population
a - prey population growth
b - prey mortality rate due to predation
c - conversion rate of hunted prey to descendants
d - predator mortality rate

Solwing method

ODE are solved using the Runge Kutta 2nd order method.

Result