Spreading Speeds of Time-Dependent Partially Degenerate Reaction-Diffusion Systems

被引：0

作者：

LIU, Jia ^{[1
]}

机构：

[1] Changan Univ, Sch Sci, Xian 710064, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2022年 / 43卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Partially degenerate; Reaction-diffusion system; Time dependent; Spreading speed; FISHER-KPP EQUATIONS; GENERALIZED PROPAGATING SPEEDS; TRANSITION WAVES; STABILITY; FRONTS; MODELS;

D O I：

10.1007/s11401-022-0306-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the spreading speeds of time dependent partially degenerate reaction-diffusion systems with monostable nonlinearity. By using the principal Lyapunov exponent theory, the author first proves the existence, uniqueness and stability of spatially homogeneous entire positive solution for time dependent partially degenerate reaction-diffusion system. Then the author shows that such system has a finite spreading speed interval in any direction and there is a spreading speed for the partially degenerate system under certain conditions. The author also applies these results to a time dependent partially degenerate epidemic model.

引用

页码：79 / 94

页数：16

共 32 条

[1] EXISTENCE AND STABILITY OF GENERALIZED TRANSITION WAVES FOR TIME-DEPENDENT REACTION-DIFFUSION SYSTEMS
Bao, Xiongxiong
Li, Wan-Tong
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (07): : 3621 - 3641
[2] Propagation phenomena for partially degenerate nonlocal dispersal models in time and space periodic habitats
Bao, Xiongxiong
Li, Wan-Tong
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2020, 51
[3] Transition waves for two species competition system in time heterogeneous media
Bao, Xiongxiong
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 44 : 128 - 148
[4] Spreading speeds and linear determinacy of time dependent diffusive cooperative/competitive systems
Bao, Xiongxiong
Li, Wan-Tong
Shen, Wenxian
Wang, Zhi-Cheng
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 265 (07) : 3048 - 3091
[5] SPREADING SPEEDS AND TRANSITION FRONTS OF LATTICE KPP EQUATIONS IN TIME HETEROGENEOUS MEDIA
Cao, Feng
Shen, Wenxian
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 37 (09) : 4697 - 4727
[6] Analysis of a reaction-diffusion system modeling man-environment-man epidemics
Capasso, V
Wilson, RE
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1997, 57 (02) : 327 - 346
[7] Capasso V, 1993, MATH STRUCTURES EPID, DOI [10.1007/978-3-540-70514-7, DOI 10.1007/978-3-540-70514-7]
[8] Monotone Wavefronts for Partially Degenerate Reaction-Diffusion Systems
Fang, Jian
Zhao, Xiao-Qiang
[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2009, 21 (04) : 663 - 680
[9] Speeds of Spread and Propagation for KPP Models in Time Almost and Space Periodic Media
Huang, Jianhua
Shen, Wenxian
[J]. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2009, 8 (03): : 790 - 821
[10] Liouville Type Property and Spreading Speeds of KPP Equations in Periodic Media with Localized Spatial Inhomogeneity
Kong, Liang
Shen, Wenxian
[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2014, 26 (01) : 181 - 215

← 1 2 3 4 →