Positivity and Exponential Stability of Coupled Homogeneous Time-Delay Differential–Difference Equations of Degree One

This paper investigates the global exponential stability of coupled homogeneous positive time-delay differential–difference equations of degree one. By using max-separable Lyapunov functions, a sufficient criterion for coupled homogeneous positive time-delay differential–difference equations of degree one is obtained. It should be noted that it is the first time that the exponential stability result for coupled homogeneous positive time-delay differential–difference equations of degree one is given. A numerical example is presented to demonstrate the effectiveness of the derived results.