Threshold phenomenon and traveling waves for heterogeneous integral equations and epidemic models

被引：3

作者：

Ducasse, Romain ^{[1
,2
]}

机构：

[1] Univ Paris, F-75006 Paris, France

[2] Sorbonne Univ, CNRS, Lab Jacques Louis Lions LJLL, F-75006 Paris, France

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 218卷

关键词：

Nonlinear integral equations; Integro-differential systems; Epidemiology; SIR models; Threshold phenomenon; Traveling waves; Anisotropic equations; Heterogeneous models; REACTION-DIFFUSION SYSTEM; PRINCIPAL EIGENVALUE; MATHEMATICAL-THEORY; ELLIPTIC-OPERATORS; ASYMPTOTIC SPEEDS; SPREAD; PROPAGATION;

D O I：

10.1016/j.na.2022.112788

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study some anisotropic heterogeneous nonlinear integral equations arising in epidemiology. We focus on the case where the heterogeneities are spatially periodic. In the first part of the paper, we show that the equations we consider exhibit a threshold phenomenon. In the second part, we study the existence and nonexistence of traveling waves, and we provide a formula for the admissible speeds. In a third part, we apply our results to a spatial heterogeneous SIR model. (C) 2022 Elsevier Ltd. All rights reserved.

引用

页数：34

共 34 条

[1]

[Anonymous], 1972, Advances in Applied Probability, DOI DOI 10.2307/1425997

[2]

[Anonymous], 1977, Research Notes in Mathematics

[3] MEASLES PERIODICITY AND COMMUNITY SIZE [J].