Positive almost periodicity on a n-species food chain system incorporating time-varying delays and polluted environments

ABSTRACT

This article involves an $n$-species food chain system incorporating time-varying delays in polluted environments. Exploiting differential inequality technology and Lyapunov functional method, some new criteria are derived to ensure the existence and global exponential stability of the positive almost periodic solutions for the addressed system. Moreover, a numerical example is afforded to verify the reliability and feasibility of theoretical findings.

KEYWORDS:

• n-Species food chain system
• polluted environment
• global exponential stability
• positive almost periodic solution

SUBJECT CLASSIFICATION:

• 34C25
• 34D05
• 34K13
• 34K25

Acknowledgments

The author would like to thank the anonymous referees and the editor for very helpful suggestions and comments, which led to improvements of my original article.

Disclosure statement

No potential conflict of interest was reported by the author(s).