(* Generated by JWS Online *)

(* This is an experimental feature of JWS Online. Please report any mistakes.*)

(* Note that the following notable SBML entities or features are not supported in notebook outputyet: *)
    (* Events *)
    (* Constraints *)
    (* Units and UnitDefinitions *)
    (* AlgebraicRules *)
    (* conversionFactors *)

variables = {
NN[t], Nplus[t]
};

initialValues = {
NN[0] == 10.0, Nplus[0] == 0.0
};

rates = {
v1, v2, v3, v4, v5
};

rateEquations = {
v1 -> alpha*sigma, v2 -> dN*Nplus[t], v3 -> sigma, v4 -> p*NN[t], v5 -> dN*NN[t]
};

parameters = {
alpha -> 0.125, dN -> 0.001, p -> 0.00092, sigma -> 0.032, default -> 1.0
};

assignments = {
ratio -> Nplus[t]/NN[t]
};

events = {

};

speciesAnnotations = {

};

reactionAnnotations = {

};

units = {
{"time" -> "", "metabolite" -> "", "extent" -> ""}
};

(* Time evolution *)
odes = {
NN'[t] == 1.0*v3 +1.0*v4 -1.0*v5, Nplus'[t] == 1.0*v1 -1.0*v2
};
timeCourse = NDSolve[Join[odes, initialValues]//.rateEquations//.assignments//.parameters, variables, {t, 0, 100}];

(* Steady-state solution initialized with result of time evolution *)
findRootEquations = odes /.D[_[t],t]->0;
findRootVariables = Partition[Flatten[{#, #/.timeCourse/.t->100} &/@variables],2];
steadyStateVariables = FindRoot[findRootEquations//.rateEquations//.assignments//.parameters, findRootVariables, MaxIterations->100]
fluxes = #//.assignments//.parameters/.steadyStateVariables&/@rateEquations

(* Plot the time evolution of the variables *)
plotTable=Table[Plot[variables[[i]]/.parameters/.timeCourse,{t,0,100},PlotLegends->variables[[i]],PlotRange->Full],{i,Length[variables]}]