Positive periodic solution of a neutral delay competition model with impulses

Abstract

Sufficient conditions are obtained for the existence of a periodic positive solution of the following neutral impulsive delay competition model

Our results in this article indicate that under the appropriate linear periodic impulsive perturbations, the neutral impulsive delay competition system preserves the original periodicity of the neutral nonimpulsive delay competition system. In particular, our results are applied to the special nonimpulsive delay competition model and some known results are generalized.

Keywords:

• Impulsive delay competition model
• Positive periodic solution
• Topological degree
• 2000 Mathematics Subject Classifications: 34K20
• 92D25

Acknowledgement

Supported by the NSF of Gansu Province of China, the NSF of Bureau of Education of Gansu Province of China (0416B-08), the Key Research and Development Program for Outstanding Groups of Lanzhou University of Technology and the Development Program for Outstanding Young Teachers in Lanzhou University of Technology.

 Supported by the NNSF of China, and the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of Ministry of Education of China.