Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
759655 | Communications in Nonlinear Science and Numerical Simulation | 2012 | 10 Pages |
This paper is concerned with some dynamic behavior of enterprises cluster constituted by n satellite enterprises and a dominant enterprise. We present a model involving time-varying delays and feedback controls based on ecology theory, which effectively describe the competition and cooperation of enterprises cluster in real economic environments. Applying the comparison theorem of differential equations and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the existence of a unique globally asymptotically stable nonnegative almost periodic solution of the system are obtained. Finally, we present an example to explain the economical significance of mathematical results.
► We model competition and cooperation of enterprises cluster based on ecology theory. ► The competition and cooperation of enterprises cluster can reach a dynamical balance. ► Feedback control effect is an important factor to the fate of enterprises cluster.