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Global stability of a multistrain SIS model with superinfection and patch structure
Mathematical Methods in the Applied Sciences ( IF 2.1 ) Pub Date : 2020-06-25 , DOI: 10.1002/mma.6636
Attila Dénes 1 , Yoshiaki Muroya 2 , Gergely Röst 1, 3
Affiliation  

We study the global stability of a multistrain SIS model with superinfection and patch structure. We establish an iterative procedure to obtain a sequence of threshold parameters. By a repeated application of a result by Takeuchi et al. [Nonlinear Anal Real World Appl. 2006;7:235–247], we show that these parameters completely determine the global dynamics of the system: for any number of patches and strains with different infectivities, any subset of the strains can stably coexist depending on the particular choice of the parameters.

中文翻译:

具有超级感染和贴片结构的多菌株SIS模型的全局稳定性

我们研究了具有超级感染和斑块结构的多菌株SIS模型的全局稳定性。我们建立一个迭代过程来获取阈值参数序列。通过Takeuchi等人重复应用结果。[非线性肛门现实世界中的应用。2006; 7:235–247],我们证明这些参数完全决定了系统的整体动力学:对于具有不同感染性的任何数量的贴片和菌株,取决于参数的特定选择,菌株的任何子集都可以稳定地共存。
更新日期:2020-06-25
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