Invasion Waves in a Higher-Dimensional Lattice Competitive System with Stage Structure

Abstract

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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Correspondence to Kun Li.

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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

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Keywords

  • Higher-dimensional lattice
  • Stage structure
  • Traveling wave solution
  • Schauder’s fixed point theorem
  • Upper and lower solutions

Mathematics Subject Classification

  • 37L60
  • 34K10
  • 39A10