Positive periodic solutions of Lotka-Volterra-like impulsive functional differential equations with infinite distributed time delays on time scales

• Main Author: Kaihong Zhao
• Format: Article
• Language: English
• Published: SpringerOpen 2017-10-01
• Series: Advances in Difference Equations
• Subjects: positive periodic solution; Lotka-Volterra-like system; impulsive and time-delay functional differential equation; theorem of strict-set contractions; time scale
• Online Access: http://link.springer.com/article/10.1186/s13662-017-1381-1
• ISSN: 1687-1847

Abstract This paper is concerned with the Lotka-Volterra-like functional differential equations with impulses and infinite distributed time delays on time scales. By applying a fixed point theorem of strict-set contractions, some sufficient conditions have been established to guarantee the existence of periodic solutions. As applications, the existence of positive periodic solutions is given for some common Lotka-Volterra systems on time scales.