Monotone wavefronts for partially degenerate reaction-diffusion systems

Jian Fang; Xiao Qiang Zhao

doi:10.1007/s10884-009-9152-7

Monotone wavefronts for partially degenerate reaction-diffusion systems

Jian Fang
, Xiao Qiang Zhao^*

^*Corresponding author for this work

School of Mathematics

Memorial University of Newfoundland

Research output: Contribution to journal › Article › peer-review

66 Scopus citations

Abstract

This paper is devoted to the study of monotone wavefronts for cooperative and partially degenerate reaction-diffusion systems. The existence of monostable wavefronts is established via the vector-valued upper and lower solutions method. It turns out that the minimal wave speed of monostable wavefronts coincides with the spreading speed. The existence of bistable wavefronts is obtained by the vanishing viscosity approach combined with the properties of spreading speeds in the monostable case.

Original language	English
Pages (from-to)	663-680
Number of pages	18
Journal	Journal of Dynamics and Differential Equations
Volume	21
Issue number	4
DOIs	https://doi.org/10.1007/s10884-009-9152-7
State	Published - Dec 2009

Keywords

Degenerate reaction-diffusion systems
Minimal wave speeds
Monostable and bistable wavefronts
Spreading speeds

Access to Document

10.1007/s10884-009-9152-7

Cite this

@article{04dbd646ef3c41de99b6116f614020a6,

title = "Monotone wavefronts for partially degenerate reaction-diffusion systems",

abstract = "This paper is devoted to the study of monotone wavefronts for cooperative and partially degenerate reaction-diffusion systems. The existence of monostable wavefronts is established via the vector-valued upper and lower solutions method. It turns out that the minimal wave speed of monostable wavefronts coincides with the spreading speed. The existence of bistable wavefronts is obtained by the vanishing viscosity approach combined with the properties of spreading speeds in the monostable case.",

keywords = "Degenerate reaction-diffusion systems, Minimal wave speeds, Monostable and bistable wavefronts, Spreading speeds",

author = "Jian Fang and Zhao, \{Xiao Qiang\}",

year = "2009",

month = dec,

doi = "10.1007/s10884-009-9152-7",

language = "英语",

volume = "21",

pages = "663--680",

journal = "Journal of Dynamics and Differential Equations",

issn = "1040-7294",

publisher = "Springer",

number = "4",

}

TY - JOUR

T1 - Monotone wavefronts for partially degenerate reaction-diffusion systems

AU - Fang, Jian

AU - Zhao, Xiao Qiang

PY - 2009/12

Y1 - 2009/12

N2 - This paper is devoted to the study of monotone wavefronts for cooperative and partially degenerate reaction-diffusion systems. The existence of monostable wavefronts is established via the vector-valued upper and lower solutions method. It turns out that the minimal wave speed of monostable wavefronts coincides with the spreading speed. The existence of bistable wavefronts is obtained by the vanishing viscosity approach combined with the properties of spreading speeds in the monostable case.

AB - This paper is devoted to the study of monotone wavefronts for cooperative and partially degenerate reaction-diffusion systems. The existence of monostable wavefronts is established via the vector-valued upper and lower solutions method. It turns out that the minimal wave speed of monostable wavefronts coincides with the spreading speed. The existence of bistable wavefronts is obtained by the vanishing viscosity approach combined with the properties of spreading speeds in the monostable case.

KW - Degenerate reaction-diffusion systems

KW - Minimal wave speeds

KW - Monostable and bistable wavefronts

KW - Spreading speeds

UR - https://www.scopus.com/pages/publications/72149121294

U2 - 10.1007/s10884-009-9152-7

DO - 10.1007/s10884-009-9152-7

M3 - 文章

AN - SCOPUS:72149121294

SN - 1040-7294

VL - 21

SP - 663

EP - 680

JO - Journal of Dynamics and Differential Equations

JF - Journal of Dynamics and Differential Equations

IS - 4

ER -

Monotone wavefronts for partially degenerate reaction-diffusion systems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this