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<p>This paper considers the model describing the EGF/CSF-1 paracrine invasion loop from a macroscopic perspective. We examine a two-species chemotaxis system in which the species compete with each other in response to two sensitive chemotactic signals. We obtain the lower bound for the classical solution of the proposed system. Our study confirmed the existence of these bounds. We demonstrated their existence by constructing some suitable Lyapunov functionals. Also, we established a bounded global classical solution for the proposed model in the spatial domain of dimensions greater than one.</p>

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Global boundedness in a competitive two-species chemotaxis system with singular sensitivity

  • 期刊论文

  • 发表日期：

    2025年11月17日

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  • S. Amalorpava Josephine,
  • S. Karthikeyan,
  • L. Shangerganesh,
  • K. Yadhavan

摘要

This paper considers the model describing the EGF/CSF-1 paracrine invasion loop from a macroscopic perspective. We examine a two-species chemotaxis system in which the species compete with each other in response to two sensitive chemotactic signals. We obtain the lower bound for the classical solution of the proposed system. Our study confirmed the existence of these bounds. We demonstrated their existence by constructing some suitable Lyapunov functionals. Also, we established a bounded global classical solution for the proposed model in the spatial domain of dimensions greater than one.