A PERIODIC REACTION-DIFFUSION MODEL WITH A QUIESCENT STAGE

被引：6

作者：

Wang, Feng-Bin ^{[1
]}

机构：

[1] Natl Tsing Hua Univ, Dept Math, Hsinchu 300, Taiwan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2012年 / 17卷 / 01期

关键词：

Monotone systems; Spreading speeds; Periodic traveling waves; periodic coexistence state; SPREADING SPEEDS; TRAVELING-WAVES; BEHAVIOR;

D O I：

10.3934/dcdsb.2012.17.283

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the asymptotic behaviour for a periodic reaction-diffusion model with a quiescent stage. By appealing to the theory of asymptotic speeds of spread and traveling waves for monotone periodic semiflow, we establish the existence of the spreading speed and show that it coincides with the minimal wave speed for monotone periodic traveling waves. Finally, we consider the case where the spatial domain is bounded. A threshold result on the global attractivity of either zero or a positive periodic solution are established.

引用

页码：283 / 295

页数：13

共 50 条

[31] Oscillations Induced by Quiescent Adult Female in a Reaction-Diffusion Model of Wild Aedes Aegypti Mosquitoes
Aghriche, A.
Yafia, R.
Alaoui, M. A. Aziz
Tridane, A.
Rihan, F. A.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2019, 29 (13):
[32] GLOBAL DYNAMICS OF A REACTION-DIFFUSION SEIVQR EPIDEMIC MODEL IN ALMOST PERIODIC ENVIRONMENTS
Xing, Yifan
Li, Hong-Xu
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2025, 15 (02): : 762 - 785
[33] Dynamic analysis of a malaria reaction-diffusion model with periodic delays and vector bias
Zhao, Hongyong
Shi, Yangyang
Zhang, Xuebing
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2022, 19 (03) : 2538 - 2574
[34] Threshold dynamics of a time periodic reaction-diffusion epidemic model with latent period
Zhang, Liang
Wang, Zhi-Cheng
Zhao, Xiao-Qiang
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 258 (09) : 3011 - 3036
[35] Periodic traveling waves in a reaction-diffusion model with chemotaxis and nonlocal delay effect
Li, Dong
Guo, Shangjiang
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 467 (02) : 1080 - 1099
[36] A reaction-diffusion model with nonlinearity driven diffusion
Man-jun Ma
Jia-jia Hu
Jun-jie Zhang
Ji-cheng Tao
Applied Mathematics-A Journal of Chinese Universities, 2013, 28 : 290 - 302
[37] A reaction-diffusion model with nonlinearity driven diffusion
Ma Man-jun
Hu Jia-jia
Zhang Jun-jie
Tao Ji-cheng
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2013, 28 (03) : 290 - 302
[38] Periodic solutions of a three-species periodic reaction-diffusion system
Qiao, Tiantian
Sun, Jiebao
Wu, Boying
ANNALES POLONICI MATHEMATICI, 2011, 100 (02) : 179 - 191
[39] THE EXISTENCE OF PERIODIC-SOLUTIONS TO REACTION-DIFFUSION SYSTEMS WITH PERIODIC DATA
MORGAN, JJ
HOLLIS, SL
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1995, 26 (05) : 1225 - 1232
[40] The evolution of fast reaction:: a reaction-diffusion model
Büger, M
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2002, 3 (04) : 543 - 554

← 1 2 3 4 5 →