Stability Analysis in a Technology Transfer Model with Competing Followers

We present the stability analysis for solution of a mathematical model of technology transfer. The model takes form in a system of differential equations. We assume that there are two competing followers with logistic growth function of technological development for all parties involved. The analysis of the model is done via dynamical system approach by emphasizing the long-term behaviour of the system. In this paper the stability analysis of the system will be investigated. A crisp initial condition for each of the followers is assumed to show that there are two stable non-trivial equilibrium points. Both of them are co-existence equilibrium solutions, which indicates a plausible model. Some numerical examples are presented to illustrated properties of the model.