Transition waves for lattice Fisher-KPP equations with time and space dependence

This paper is concerned with the existence results for generalized transition waves of space periodic and time heterogeneous lattice Fisher-KPP equations. By constructing appropriate subsolutions and supersolutions, we show that there is a critical wave speed such that a transition wave solution exi...

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Published inProceedings of the Royal Society of Edinburgh. Section A. Mathematics Vol. 151; no. 2; pp. 573 - 600
Main Authors Wang, Ning, Wang, Zhi-Cheng, Bao, Xiongxiong
Format Journal Article
LanguageEnglish
Published Edinburgh, UK Royal Society of Edinburgh Scotland Foundation 01.04.2021
Cambridge University Press
Subjects
Mathematical analysis
generalized transition waves
Lattice differential equations
time heterogeneous
37L60
35B51
35B40
space periodic
34K31
35C07
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Abstract This paper is concerned with the existence results for generalized transition waves of space periodic and time heterogeneous lattice Fisher-KPP equations. By constructing appropriate subsolutions and supersolutions, we show that there is a critical wave speed such that a transition wave solution exists as soon as the least mean of wave speed is above this critical speed. Moreover, the critical speed we construct is proved to be minimal in some particular cases, such as space-time periodic or space independent.
AbstractList This paper is concerned with the existence results for generalized transition waves of space periodic and time heterogeneous lattice Fisher-KPP equations. By constructing appropriate subsolutions and supersolutions, we show that there is a critical wave speed such that a transition wave solution exists as soon as the least mean of wave speed is above this critical speed. Moreover, the critical speed we construct is proved to be minimal in some particular cases, such as space-time periodic or space independent.
Abstract This paper is concerned with the existence results for generalized transition waves of space periodic and time heterogeneous lattice Fisher-KPP equations. By constructing appropriate subsolutions and supersolutions, we show that there is a critical wave speed such that a transition wave solution exists as soon as the least mean of wave speed is above this critical speed. Moreover, the critical speed we construct is proved to be minimal in some particular cases, such as space-time periodic or space independent.
Author Wang, Zhi-Cheng
Wang, Ning
Bao, Xiongxiong
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  givenname: Xiongxiong
  surname: Bao
  fullname: Bao, Xiongxiong
  email: baoxx2016@chd.edu.cn
  organization: School of Science, Chang'an University, Xi'an, Shaanxi 710064, People's Republic of China (baoxx2016@chd.edu.cn)
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CitedBy_id crossref_primary_10_1007_s10231_021_01173_8
crossref_primary_10_3934_dcds_2021166
crossref_primary_10_1017_prm_2023_34
crossref_primary_10_1016_j_aml_2023_108872
crossref_primary_10_1007_s11401_022_0306_9
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Keywords generalized transition waves
Lattice differential equations
time heterogeneous
37L60
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space periodic
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Snippet This paper is concerned with the existence results for generalized transition waves of space periodic and time heterogeneous lattice Fisher-KPP equations. By...
Abstract This paper is concerned with the existence results for generalized transition waves of space periodic and time heterogeneous lattice Fisher-KPP...
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Title Transition waves for lattice Fisher-KPP equations with time and space dependence
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