ABSTRACT
This work is devoted to the study of the global dynamics for a class of reaction–diffusion equations with distributed delay and non-monotone bistable nonlinearity. By using a comparison result, we characterize the basins of attraction of each steady state, that is, the trivial one and two positive steady states. We apply our results to a diffusive blowflies model with Allee effect and distributed delay.
Acknowledgments
The authors would like to thank the associate editor and anonymous reviewers for their helpful comments to the earlier version of this manuscript.
Disclosure statement
No potential conflict of interest was reported by the author(s).