通过构建 Lyapunov 函数构建流行病网络模型的全局动力学

IF 0.8 3区数学 Q2 MATHEMATICS

Proceedings of the American Mathematical Society Pub Date : 2024-03-29 DOI:10.1090/proc/16872

Rachidi Salako, Yixiang Wu

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引用次数: 0

摘要

在本文中，我们研究了当易感人群或受感染人群的散布受到控制时，具有标准发病率或大规模作用传播机制的流行病网络模型的全局动力学。模型的连通性矩阵不假定是对称的。我们研究全局动力学的主要技术是构建新颖的 Lyapunov 型函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Global dynamics of epidemic network models via construction of Lyapunov functions

In this paper, we study the global dynamics of epidemic network models with standard incidence or mass-action transmission mechanism, when the dispersal of either the susceptible or the infected people is controlled. The connectivity matrix of the model is not assumed to be symmetric. Our main technique to study the global dynamics is to construct novel Lyapunov type functions.

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来源期刊

Proceedings of the American Mathematical Society 数学-数学

CiteScore

1.70

自引率

10.00%

发文量

207

审稿时长

2-4 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to shorter research articles (not to exceed 15 printed pages) in all areas of pure and applied mathematics. To be published in the Proceedings, a paper must be correct, new, and significant. Further, it must be well written and of interest to a substantial number of mathematicians. Piecemeal results, such as an inconclusive step toward an unproved major theorem or a minor variation on a known result, are in general not acceptable for publication. Longer papers may be submitted to the Transactions of the American Mathematical Society. Published pages are the same size as those generated in the style files provided for AMS-LaTeX.