Abstract：Based on the dynamical equation for the model presented in paper [3], this paper focuesd on the influence of resource investment on the sustainable utilization of the resources. The existence and the local stability of the positive equilibrium were investigated by the use of the nonlinear dynamics. Then the local bifurcations of fixed points were verified through the numerical simulation. Finally, the extension of current stock in which resource can be renewable （feasible domain) was given by global method.
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