I have the following system of equations and aim to solve it analytically. My main problem is MATLAB code or function(s) to solve it. Any one can help me? ($$a_i, b_i, c_i$$ and $$d_i$$ are known parameters)
$$\dot x(t) =a_1-b_1x(t)y(t)-c_1x(t)z(t)-d_1x(t)$$ $$\dot y(t) = b_1x(t)y(t)+c_1x(t)z(t)-d_2y(t)$$ $$\dot z(t) =a_2y(t)-b_2z(t)$$ $$\dot u(t) =a_3y(t)-b_3u(t)$$ $$\dot s(t) =a_4u(t)-b_4s(t)$$