This example shows the simulation of an oscillator based on the Lotka-Volterra equations using

QFIRE Studio

.

Introduction

The Lotka-Volterra oscillator equations (or Prey-Predator oscillator) are defined  by:

In these equations:

• $y$
  : the number of predators.a
• $y$
  : the number of prey;
• $\alpha$
  : the prey population growth rate.
• $\gamma$
  : the population decrease rate of predators.
• $\beta$
  : the rate of decrease in the prey population.
• $\delta$
  : the rate of growth of the predator population.

Simulation

Using 

QFIRE Studio

, the diagram in Figure 1 was made following the equations.

The initial values ​​of prey and predators are 2 and 1 respectively. These values were set inside the integrators. The results are shown in Figure 2.