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<p>This paper deals with the quasilinear predator-prey chemotaxis system with nonlinear indirect pursuit-evasion effect under homogeneous Neumann boundary conditions. Based on the maximal Sobolev regularity, the global boundedness of solution is investigated. The boundedness condition derived in this paper relies only on the exponents of the system, which is independent of the coefficients of the system and spatial dimension <i>n</i>. Meanwhile, this work partially improves or extends the results of Wang and Zheng (2023), Zheng and Zhang (2023), Zheng et al. (2025) and Zhao et al. (2025).</p>

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Global boundedness in a quasilinear predator-prey chemotaxis system with nonlinear indirect pursuit-evasion effect

  • 期刊论文

  • 发表日期：

    2025年11月6日

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  • Zhangsheng Zhu

摘要

This paper deals with the quasilinear predator-prey chemotaxis system with nonlinear indirect pursuit-evasion effect under homogeneous Neumann boundary conditions. Based on the maximal Sobolev regularity, the global boundedness of solution is investigated. The boundedness condition derived in this paper relies only on the exponents of the system, which is independent of the coefficients of the system and spatial dimension n. Meanwhile, this work partially improves or extends the results of Wang and Zheng (2023), Zheng and Zhang (2023), Zheng et al. (2025) and Zhao et al. (2025).