In: Math

# With the aid of fourth order Runge-Kutta method, solve the competing species model defined by dx/dt...

With the aid of fourth order Runge-Kutta method, solve the competing species model defined by

dx/dt =x(2 − 0.4x − 0.3y), x(0) = 2

dy/dt =y(1 − 0.1y − 0.3x), y(0) = 4

where the populations x(t) and y(t) are measured in thousands and t in years. Use a step size of 0.2 for 0 ≤ t ≤ 2 and plot the trajectories of the populations with Matlab or GNU Octave.

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Q 4. With the aid of fourth order Runge-Kutta method, solve the competing species model [20 points] defined by dx =x(2 − 0.4x − 0.3y), x(0) = 4 dt dy =y(1 − 0.1y − 0.3x), y(0) = 3 dt where the populations x(t) and y(t) are measured in thousands and t in years. Use a step size of 0.2 for 0 ≤ t ≤ 2 and plot the trajectories of the populations with Matlab or GNU Octave.
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