Almost periodic solutions of distributed parameter biochemical systems with time delay and time varying input

Abstract

In this article we study the existence of almost periodic solutions for distributed parameters biochemical system, with time delay when the input $S_{m in}$ is time dependent. This study is motivated by the input begin time dependent in many applications, and by the importance of almost periodically varying environments. Using the semigroup method, we prove that if the input is almost periodic then the system has an almost periodic solution.

Keywords

• Time delay
• almost periodic solutions
• biochemical system
• partial functional differential equations