Impulsive control for persistence and periodicity of logistic systems. (English) Zbl 1510.92185
Summary: In this paper, a class of logistic systems with impulsive effects are proposed and investigated. Based on impulsive control theory, a novel approach is developed to guarantee the persistence and existence of a unique globally attractive positive periodic solution. The development results of this paper emphasize the impulsive effects on system, which are different from the existing ones in the literature. Two examples and their simulations are given to illustrate the effectiveness of the proposed results.
MSC:
| 92D25 | Population dynamics (general) |
| 93C27 | Impulsive control/observation systems |
| 34D23 | Global stability of solutions to ordinary differential equations |
| 34A37 | Ordinary differential equations with impulses |
| 34C25 | Periodic solutions to ordinary differential equations |
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