An almost periodic Ross-Macdonald model with time delay in a patchy environment

被引：0

作者：

Wang, Yingying ^{[1
]}

Wang, Bin-Guo ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2024年 / 76卷

关键词：

Almost periodic equations; Disease-free solution; Basic reproduction ratio; MALARIA TRANSMISSION MODEL; BASIC REPRODUCTION RATIOS; VECTOR-BORNE DISEASES; EPIDEMIC MODEL; DYNAMICS; THRESHOLD;

D O I：

10.1016/j.nonrwa.2023.104029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An almost periodic multi-patch Ross-Macdonald model with the incubation of virus in hosts and in vectors is investigated in this paper. The existence of the almost periodic disease-free solution and the definition of basic reproduction ratio R(0 )are given. It is shown that the disease will die out when there exists a small invasion and the same dispersal rate in patches if R-0 < 1, while the disease is uniformly persistent if R-0 > 1. At last, numerical simulations illustrate the above results. In addition, a comparison between the almost periodic and periodic models shows that the periodic model may underestimate or overestimate the basic reproduction ratio.

引用

页数：21

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