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The effects of diffusion on the principal eigenvalue for age-structured models with random diffusion
Proceedings of the Royal Society of Edinburgh Section A: Mathematics ( IF 1.3 ) Pub Date : 2021-03-23 , DOI: 10.1017/prm.2021.10
Hao Kang 1
Affiliation  

In this paper, we study the principal spectral theory of age-structured models with random diffusion. First, we provide an equivalent characteristic for the principal eigenvalue, the strong maximum principle and a positive strict super-solution. Then, we use the result to investigate the effects of diffusion rate on the principal eigenvalue. Finally, we study how the principal eigenvalue affects the global dynamics of the KPP model and verify that the principal eigenvalue being zero is a critical value.

中文翻译:

扩散对随机扩散年龄结构模型主特征值的影响

在本文中,我们研究了具有随机扩散的年龄结构模型的主谱理论。首先,我们提供了主特征值的等价特征、强极大原理和正严格超解。然后,我们使用结果来研究扩散率对主特征值的影响。最后,我们研究了主特征值如何影响 KPP 模型的全局动态,并验证主特征值为零是一个临界值。
更新日期:2021-03-23
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