Logistic growth model

deq = {n'[t] == (1-n[t])n[t],n[0]==n0}

deq1 = deq/.n0->0.01

sol = NDSolve[ deq1,n[t],{t,0,10}]

g1 = Plot[ n[t]/.sol,{t,0,10}]

deq1 = deq/.n0->0.2

sol = NDSolve[ deq1,n[t],{t,0,10}]

g2 = Plot[ n[t]/.sol,{t,0,10}]

deq1 = deq/.n0->0.8

sol = NDSolve[ deq1,n[t],{t,0,10}]

g3 = Plot[ n[t]/.sol,{t,0,10},PlotRange->All]

deq1 = deq/.n0->1.2

sol = NDSolve[ deq1,n[t],{t,0,10}]

g4 = Plot[ n[t]/.sol,{t,0,10},PlotRange->All]

Show[g1,g2,g3,g4,PlotRange->{0,1.5}]