BASIC REPRODUCTION RATIOS FOR TIME-PERIODIC HOMOGENEOUS EVOLUTION SYSTEMS

被引：4

作者：

Wang, Feng-Bin ^{[1
,2
,3
]}

Zhang, Lei ^{[4
]}

Zhao, Xiao-Qiang ^{[5
]}

机构：

[1] Chang Gung Univ, Dept Nat Sci, Ctr Gen Educ, Taoyuan 333, Taiwan

[2] Chang Gung Mem Hosp, Community Med Res Ctr, Keelung Branch, Keelung 204, Taiwan

[3] Natl Taiwan Univ, Natl Ctr Theoret Sci, Taipei 106, Taiwan

[4] Shaanxi Normal Univ, Sch Math & Stat, Xian 710119, Shaanxi, Peoples R China

[5] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2023年 / 83卷 / 05期

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

basic reproduction ratio; homogeneous operators; time-periodic systems; threshold dynamics; COMPARTMENTAL-MODELS; SPATIAL VARIATION; INTERNAL STORAGE; COMPETITION; GROWTH; DYNAMICS; NUTRIENT; EIGENVALUE; THRESHOLD; EQUATIONS;

D O I：

10.1137/22M1531865

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the study of basic reproduction ratios R-0 for time-periodic homogeneous evolution systems. We introduce the definition of R-0 and show that the sign of R-0-1 determines the stability of the zero solution for such a system. We also characterize R-0 and give a numerical method to compute it. Then we apply the developed theory to two population models and obtain threshold type results on their global dynamics in terms of R-0.

引用

页码：1806 / 1831

页数：26

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