ABSTRACT
This paper is concerned with the stability of traveling wave fronts for a coupled system of non-local delayed lattice differential equations with a quiescent stage. It shows that under certain conditions all non-critical traveling wave fronts are globally exponentially stable, and critical ftraveling wave fronts are globally algebraically stable by applying the weighted energy method and the semi-discrete Fourier transform.
Acknowledgements
The authors are grateful to the referees for their valuable suggestions that help improvement of the manuscript.
Notes
No potential conflict of interest was reported by the authors.