Existence and stability of almost-periodic solutions for cellular neural networks with time-varying delays in leakage terms on time scales

•In this paper, we consider cellular neural networks with time-varying delays in leakage terms on time scales.•We extend the almost-periodic theory on time scales with the delta derivative to that with the nabla derivative.•We establish sufficient conditions on the existence and uniqueness of almost-periodic solutions.•We show that the unique almost-periodic solution is globally exponentially stable.

This paper is concerned with cellular neural networks with time-varying delays in leakage terms on time scales. Some sufficient conditions on the existence, uniqueness, and global exponential stability of almost-periodic solutions are established. An example is presented to illustrate the feasibility and effectiveness of the obtained results.