A new approach to persistence and periodicity of logistic systems with jumps

Abstract

This paper considers a class of logistic type differential system with jumps. Based on discontinuous control theory, a new 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 effects of jumps 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.

Keywords

• logistic differential system
• persistence
• periodicity
• globally attractive
• jumps