Spreading speeds and traveling waves for a time periodic DS-I-A epidemic model

被引：9

作者：

Yang, Xiying ^{[1
]}

Lin, Guo ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2022年 / 66卷

关键词：

Nonmonotone system; Generalized upper and lower solutions; Asymptotic spreading; Minimal wave speed; HIV/AIDS MODEL; COMPETITIVE-EXCLUSION; ASYMPTOTIC SPEED; PROPAGATION; STABILITY; DISEASE; DYNAMICS; SYSTEMS; COEXISTENCE;

D O I：

10.1016/j.nonrwa.2022.103515

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to studying the speed of asymptotic spreading and minimal wave speed of traveling wave solutions for a time periodic and diffusive DS-I-A epidemic model, which describes the propagation threshold of disease spreading. The main feature of this model is the possible deficiency of the classical comparison principle such that many known results do not directly work. The speed of asymptotic spreading is estimated by constructing auxiliary equations and applying the classical theory of asymptotic spreading for Fisher type equation. The minimal wave speed is established by proving the existence and nonexistence of the nonconstant traveling wave solutions. Moreover, some numerical examples are presented to model the propagation dynamics of this system. (C)& nbsp;2022 Elsevier Ltd. All rights reserved.

引用

页数：27

共 49 条

[21] An intuitive formulation for the reproductive number for the spread of diseases in heterogeneous populations
Hyman, JM
Li, J
[J]. MATHEMATICAL BIOSCIENCES, 2000, 167 (01) : 65 - 86
[22] Jianhua Huang, 2006, [Acta Mathematicae Applicatae Sinica, Ying yung shu hseh hseh pao], V22, P243
[23] Coexistence of pathogens in sexually-transmitted disease models
Li, J
Ma, Z
Blythe, SP
Castillo-Chavez, C
[J]. JOURNAL OF MATHEMATICAL BIOLOGY, 2003, 47 (06) : 547 - 568
[24] Spreading speeds and traveling waves for periodic evolution systems
Liang, Xing
Yi, Yingfei
Zhao, Xiao-Qiang
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 231 (01) : 57 - 77
[25] PERIODIC TRAVELING WAVE SOLUTIONS OF PERIODIC INTEGRODIFFERENCE SYSTEMS
Lin, Guo
Pan, Shuxia
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 25 (08): : 3005 - 3031
[26] Spreading Speeds and Traveling Wave Solutions for a Delayed Periodic Equation without Quasimonotonicity
Lin, Guo
[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2019, 31 (04) : 2275 - 2292
[27] Spatial invasion dynamics for a time period predator-prey system
Lin, Guo
Wang, Renhu
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (17) : 7612 - 7623
[28] Minimal wave speed of competitive diffusive systems with time delays
Lin, Guo
[J]. APPLIED MATHEMATICS LETTERS, 2018, 76 : 164 - 169
[29] Traveling Wave Solutions for Delayed Reaction-Diffusion Systems and Applications to Diffusive Lotka-Volterra Competition Models with Distributed Delays
Lin, Guo
Ruan, Shigui
[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2014, 26 (03) : 583 - 605
[30] Stationary distribution and extinction of the DS-I-A model disease with periodic parameter function and Markovian switching
Liu, Songnan
Xu, Xiaojie
Jiang, Daqing
Hayat, Tasawar
Ahmad, Bashir
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2017, 311 : 66 - 84

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