Almost periodic solutions of a commensalism system with Michaelis-Menten type harvesting on time scales

Abstract

In this paper, we consider an almost periodic commensal symbiosis model with nonlinear harvesting on time scales. We establish a criterion for the existence and uniformly asymptotic stability of unique positive almost periodic solution of the system. Our results show that the continuous system and discrete system can be unify well. Examples and their numerical simulations are carried out to illustrate the feasibility of our main results.

Keywords

• almost periodic solutions
• commensal symbiosis model
• lyapunov functional
• michaelis-menten type harvesting
• time scales
• 34c25
• 92d25
• 34d20
• 34d40