How to solve differential equation system?

Hello, I want to learn how can i write a code for the solution of differential equations below? What is the matrix form of this system?

I tried different ways but I can't overcome it. Thanks for help.

Answer 1

[Pritesh Shah]

Try

doc ode45 in matlab command. You will get examples.

[c4ndc]

Thank you for your answer. I looked this documentation but I'm newbie on MATLAB. So, I need more basic way.

function dNdt = rhs(t,N,par)

dNdt = zeros(length(N),1);
nk = length(N)/par.n;

for i = 1 : par.n
    for k = 1 : nk
        for j = i : par.n
            for l = 1 : par.n
                dNdt((i-1)*nk + k) = dNdt((i-1)*nk + k) + beta(j,l) * b(i,k,j,l) * S(j,k) * N((j-1)*nk + k) - S(i,k) * N((i-1)*nk + k);
            end
        end
    end
end

I used above code with my friends help but I didn't succeed.

Answer 2

[c4ndc]

Sorry, is there anybody to explain how can I use ode45?