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<p>This work is devoted to revealing the global threshold dynamics, including the persistence and global attractiveness of coexisting periodic solutions, of a general time-periodic predator–prey model with diffusion. These findings offer methodological advancements for analyzing non-monotonic diffusive models with seasonal transmission and provide theoretical criteria for biodiversity conservation in climate-driven periodic environments.</p>

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Global dynamics of a general periodic predator–prey model with diffusion

  • 期刊论文

  • 发表日期：

    2026年2月23日

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  • Mengran Cui,
  • Yunfei Lv,
  • Yongzhen Pei

摘要

This work is devoted to revealing the global threshold dynamics, including the persistence and global attractiveness of coexisting periodic solutions, of a general time-periodic predator–prey model with diffusion. These findings offer methodological advancements for analyzing non-monotonic diffusive models with seasonal transmission and provide theoretical criteria for biodiversity conservation in climate-driven periodic environments.