Dynamics for a discrete competition and cooperation model of two enterprises with multiple delays and feedback controls. (English) Zbl 1362.93075
Summary: This paper is concerned with a competition and cooperation model of two enterprises with multiple delays and feedback controls. With the aid of the difference inequality theory, we have obtained some sufficient conditions which guarantee the permanence of the model. Under a suitable condition, we prove that the system has global stable periodic solution. The paper ends with brief conclusions.
MSC:
| 93C40 | Adaptive control/observation systems |
| 34K20 | Stability theory of functional-differential equations |
| 34C25 | Periodic solutions to ordinary differential equations |
| 92D25 | Population dynamics (general) |
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