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Long-time dynamics of a reaction–diffusion system with negative feedback and inhibition
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2020-05-15 , DOI: 10.1016/j.aml.2020.106475
Chengxia Lei , Jialin Zhou

This paper concerns the long-time dynamics of a reaction–diffusion system with negative feedback and inhibition. We first derive a priori L-norm estimates for the solution. Then, by constructing two different types of Lyapunov functions, we prove that the positive equilibrium is globally attractive when the basic reproduction number R0>1, while the microorganisms-free equilibrium is globally attractive when R01.



中文翻译:

具有负反馈和抑制作用的反应扩散系统的长期动力学

本文涉及具有负反馈和抑制作用的反应扩散系统的长期动力学。我们首先得出一个先验大号-解决方案的正常估算。然后,通过构造两种不同类型的李雅普诺夫函数,我们证明当基本再生产数为正时,正平衡是全局吸引的[R0>1个,而当 [R01个

更新日期:2020-05-15
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