Question: How can I solve this 3 variables ODEs system and plot it?

I have a model which contains 3 variables and several parameters, the equtions are as following:

diff(i(t),t) = alpha*B(t)*S(t)/(K+B(t))-r*i(t)
diff(S(t),t) = -alpha*B(t)*S(t)/(K+B(t))+b*(N-S(t))
diff(B(t),t) = e*i(t)+g*B(t)

How can I solve them to get the solutions by using Maple, and plot them?

Sorry I'm just a new learner with little math background. Plz explain more specific if you want. Thanks for your help.

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