AN ALMOST PERIODIC EPIDEMIC MODEL WITH AGE STRUCTURE IN A PATCHY ENVIRONMENT

被引：4

作者：

Wang, Bin-Guo ^{[1
]}

Li, Wan-Tong ^{[1
]}

Zhang, Liang ^{[1
]}

机构：

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

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2016年 / 21卷 / 01期

关键词：

Almost periodic; age structure; epidemic model; basic reproduction ratio; threshold dynamics; MINIMAL SETS; MONOTONE; POPULATION; DISPERSAL; THRESHOLD; DYNAMICS; DISEASES;

D O I：

10.3934/dcdsb.2016.21.291

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An almost periodic epidemic model with age structure in a patchy environment is considered. The existence of the almost periodic disease-free solution and the definition of the basic reproduction ratio R-0 are given. Based on those, it is shown that a disease dies out if the basic reproduction number R-0 is less than unity and persists in the population if it is greater than unity.

引用

页码：291 / 311

页数：21

共 34 条

[1] Seasonality and the dynamics of infectious diseases [J].

Altizer, S ;

Dobson, A ;

Hosseini, P ;

Hudson, P ;

Pascual, M ;

Rohani, P .

ECOLOGY LETTERS, 2006, 9 (04) :467-484

[2]

[Anonymous], 1995, MATH SURVEYS MONOGRA

[3]

[Anonymous], MEMOIRS AM MATH SOC

[4]

[Anonymous], 1995, THEORY CHEMOSTAT DYN

[5]

[Anonymous], 1925, Proceedings of the Edinburgh Mathematical Society, DOI [10.1017/S0013091500034428, DOI 10.1017/S0013091500034428]

[6]

[Anonymous], PHIL T ROY SOC LON B

[7]

[Anonymous], 1993, INTRO FUNCTIONAL DIF, DOI 10.1007/978-1-4612-4342-7

[8] DIFFERENTIAL-EQUATION ARISING FROM COMPARTMENTAL ANALYSIS [J].

ARONSSON, G ;

KELLOGG, RB .

MATHEMATICAL BIOSCIENCES, 1978, 38 (1-2) :113-122

[9] The epidemic threshold of vector-borne diseases with seasonality [J].

Bacaer, Nicolas ;

Guernaoui, Souad .

JOURNAL OF MATHEMATICAL BIOLOGY, 2006, 53 (03) :421-436

[10] Global stability of an age-structure model for TB and its applications to optimal vaccination strategies [J].

Castillo-Chavez, C ;

Feng, ZL .

MATHEMATICAL BIOSCIENCES, 1998, 151 (02) :135-154

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