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<p>In this paper, we investigate the existence, monotonicity, and global exponential stability of bistable traveling wave solutions for a plankton model characterized by cubic nonlinearity and time periodicity. We begin by establishing the existence and monotonicity of these bistable traveling waves through the application of monotone semiflow theory. Subsequently, we establish a nontrivial inequality, which is analogous to the strong maximum principle, in conjunction with a rigorous squeezing scheme to demonstrate that the bistable waves exhibit global exponential stability, contingent upon the satisfaction of specific initial conditions.</p>

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Bistable waves for a time-periodic plankton model with cubic nonlinearity

  • 期刊论文

  • 发表日期：

    2025年10月10日

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  • Mi Zhou,
  • Hongyong Wang

摘要

In this paper, we investigate the existence, monotonicity, and global exponential stability of bistable traveling wave solutions for a plankton model characterized by cubic nonlinearity and time periodicity. We begin by establishing the existence and monotonicity of these bistable traveling waves through the application of monotone semiflow theory. Subsequently, we establish a nontrivial inequality, which is analogous to the strong maximum principle, in conjunction with a rigorous squeezing scheme to demonstrate that the bistable waves exhibit global exponential stability, contingent upon the satisfaction of specific initial conditions.