ABSTRACT
This paper deals with the existence of traveling waves for doubly nonlinear degenerate diffusion equations with Nicholson's blowflies-type source term and time delay. We prove the existence of monotone and non-monotone traveling waves by the monotone iteration and Schauder's fixed point theorem respectively. Furthermore, the non-critical traveling waves are proven to be globally -stable. The adopted approach for the proof is the weighted energy method combining the compactness analysis.
Acknowledgments
The authors would like to express their sincere thanks for referees' valuable comments and suggestions, which led to the paper a significant improvement.
Disclosure statement
No potential conflict of interest was reported by the author(s).