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<p>The aim of this paper is to investigate the existence and nonexistence of generalized traveling waves for a prey–predator system in time-heterogeneous environments. More precisely, our results show that generalized traveling waves do exist as long as the wave speeds exceed a critical value in an average sense, while the waves do not exist when their speeds fall below this threshold. Our approach combines sub- and super-solutions with the principal eigenvalue.</p>

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Generalized traveling waves for time-heterogeneous prey–predator systems with the general functional response

  • 期刊论文

  • 发表日期：

    2025年12月26日

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  • Ning Wang,
  • Zhixian Yu,
  • Qianfang Zhang

摘要

The aim of this paper is to investigate the existence and nonexistence of generalized traveling waves for a prey–predator system in time-heterogeneous environments. More precisely, our results show that generalized traveling waves do exist as long as the wave speeds exceed a critical value in an average sense, while the waves do not exist when their speeds fall below this threshold. Our approach combines sub- and super-solutions with the principal eigenvalue.