Abstract
In this article, we present a simple approach to show the existence of nontrivial stable stationary solutions to a balanced bistable reaction–diffusion equation with heterogeneous environments.
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Acknowledgements
Kazuhiro Kurata was supported in part by Grant-in-Aid for Scientific Research (C) (No. 18540191) from Japan Society for Promotion of Science and Hiroshi Matsuzawa was supported in part by Grant-in-Aid for Young Scientists (B) (No. 20740098) from Japan Society for Promotion of Science. The authors are thankful to the referees for their careful readings and valuable comments for improving the manuscript.