How can apply a perturbation method in a system of equations?

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If a have a system of equation

$$ \frac{d u}{dt} = 1- u e^{\epsilon(q-1)}$$

$$ \frac{d q}{dt} = u e^{\epsilon(q-1)}-q$$

$u(0)=q(0)= 0$

How Can I apply the perturbation methot

$\epsilon$ small parameter