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<p>We introduce and investigate a chemostat mode on time scales. By using the theory of calculus on time scales, continuation theorem of coincidence degree theory and Lyapunov functional method, we obtain some sufficient conditions which guaranteeing the existence and global exponential stability of periodic solution to the considered system. The considered model is more general and versatile than the traditional models. This paper unifies the periodic discrete-time and continuous-time chemostat mode under the same framework. Hence, the model on time scales is the optimal way forward for accurate and malleable mathematical modelling. Furthermore, our results have more general applications.</p>

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Existence and exponential stability of positive periodic solution for a multi-species chemostat model on time scales

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月29日

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  • Tao Wang,
  • Xiaoliang Li,
  • Bo Du,
  • Haiqing Du

摘要

We introduce and investigate a chemostat mode on time scales. By using the theory of calculus on time scales, continuation theorem of coincidence degree theory and Lyapunov functional method, we obtain some sufficient conditions which guaranteeing the existence and global exponential stability of periodic solution to the considered system. The considered model is more general and versatile than the traditional models. This paper unifies the periodic discrete-time and continuous-time chemostat mode under the same framework. Hence, the model on time scales is the optimal way forward for accurate and malleable mathematical modelling. Furthermore, our results have more general applications.