ODE_Lotka_Volterra

java.lang.Object
- ODE_Lotka_Volterra

All Implemented Interfaces:

FirstOrderDifferentialEquations
```
public class ODE_Lotka_Volterra
extends Object
implements FirstOrderDifferentialEquations
```
Example of a system of first order differential equations (ODEs).

Lotka-Volterra equations for rabbits r(t) and foxes f(t):
```
  dr/dt = r(t) * ( a - b * f(t) )
  df/dt = f(t) * ( d * r(t) - c )
```
See Also:

CommonsMath_ODE_Lotka_Volterra~Demo.jxn, → Wikipedia

Constructor Summary

Constructors
Constructor	Description
`ODE_Lotka_Volterra(double a, double b, double c, double d)`	Stores the parameters of the equations.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`void`	`computeDerivatives(double t, double[] y, double[] ydot)`	Computes `dr/dt` and `df/dt`.
`int`	`getDimension()`	Returns the number of states(=2).

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

ODE_Lotka_Volterra

public ODE_Lotka_Volterra(double a,
                          double b,
                          double c,
                          double d)

Stores the parameters of the equations.

Method Detail
- getDimension
```
public int getDimension()
```
  Returns the number of states(=2).
  
  Specified by:
  
  getDimension in interface FirstOrderDifferentialEquations
- computeDerivatives
```
public void computeDerivatives(double t,
                               double[] y,
                               double[] ydot)
```
  Computes dr/dt and df/dt.
  
  Specified by:
  
  computeDerivatives in interface FirstOrderDifferentialEquations