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This study investigates the global stability of fractional-order (FO) Selkov-Schnakenberg (SS) reaction-diffusion systems (RDs), which are pivotal in modeling biochemical oscillations and pattern formation in chemical systems. By extending the Lyapunov function (LF) method, sufficient conditions for the global asymptotic stability (GAS) of the system’s unique equilibrium point (EP) are derived. Numerical simulations validate the theoretical findings and reveal insights into the dynamic behavior of the FOSSRDs under various fractional orders and parameter settings. The results contribute to understanding complex RD dynamics and their implications in biochemical processes.

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Global Stability Analysis of Fractional Selkov-Schnakenberg Reaction-Diffusion Systems

  • 会议论文

  • 发表日期：

    2025年

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  • Iqbal H. Jebril,
  • Issam Bendib,
  • Adel Ouannas,
  • Salah Boulaaras,
  • Iqbal M. Batiha,
  • Shaher Momani

摘要

This study investigates the global stability of fractional-order (FO) Selkov-Schnakenberg (SS) reaction-diffusion systems (RDs), which are pivotal in modeling biochemical oscillations and pattern formation in chemical systems. By extending the Lyapunov function (LF) method, sufficient conditions for the global asymptotic stability (GAS) of the system’s unique equilibrium point (EP) are derived. Numerical simulations validate the theoretical findings and reveal insights into the dynamic behavior of the FOSSRDs under various fractional orders and parameter settings. The results contribute to understanding complex RD dynamics and their implications in biochemical processes.