Question: Solution of Logistic equation in Perturbation theory

Hi everyone,
Please I need your help, if anyone has idea of using Perturbation Theory to Solve the following Logistic Fractional Equation and ploting with iteration. Thanks

Restart

u(t):=1/(m)(u(t)-(u^(2)(t))/(k));

NULL

uu(t):=(k*u_0)/((u_0+(u_0)*k)*(e)^(-t/(m)))

NULL

u(0) = u_0

NULL

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