Threshold dynamics of a nonlocal dispersal SIS epidemic model with free boundaries

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS
Yachun Tong, Inkyung Ahn, Zhigui Lin
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引用次数: 0

Abstract

To study the influence of the moving front of the infected interval and the spatial movement of individuals on the spreading or vanishing of infectious disease, we consider a nonlocal susceptible–infected–susceptible (SIS) reaction–diffusion model with media coverage, hospital bed numbers and free boundaries. The principal eigenvalue of the integral operator is defined, and the impacts of the diffusion rate of infected individuals and interval length on the principal eigenvalue are analyzed. Furthermore, sufficient conditions for spreading and vanishing of the disease are derived. Our results show that large media coverage and hospital bed numbers are beneficial to the prevention and control of disease. The difference between the model with nonlocal diffusion and that with local diffusion is also discussed and nonlocal diffusion leads to more possibilities.

具有自由边界的非局部扩散 SIS 流行病模型的阈值动力学
为了研究感染区间的移动前沿和个体的空间移动对传染病传播或消失的影响,我们考虑了一个具有媒体覆盖、医院床位数和自由边界的非局部易感-感染-易感(SIS)反应-扩散模型。定义了积分算子的主特征值,并分析了受感染个体的扩散率和区间长度对主特征值的影响。此外,还推导出了疾病扩散和消失的充分条件。我们的结果表明,大量的媒体报道和医院床位数有利于疾病的预防和控制。我们还讨论了非局部扩散模型与局部扩散模型的区别,非局部扩散带来了更多的可能性。
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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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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