In this paper, we use Schauder’s fixed point theorem to establish the existence of invasion waves in a stage-structured competitive system on higher-dimensional lattices. To illustrate our results, we construct a pair of upper and lower solutions.
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Supported by the National Natural Science Foundation of China (Grant No. 11971160) and the Scientific Research Fund of Hunan Provincial Education Department (Grant No. 18B472).
Communicated by See Keong Lee.
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Li, K. Invasion Waves in a Higher-Dimensional Lattice Competitive System with Stage Structure. Bull. Malays. Math. Sci. Soc. 43, 3711–3723 (2020). https://doi.org/10.1007/s40840-020-00890-2
- Higher-dimensional lattice
- Stage structure
- Traveling wave solution
- Schauder’s fixed point theorem
- Upper and lower solutions
Mathematics Subject Classification