Time periodic traveling waves in a three-component non-autonomous and reaction-diffusion epidemic model

2020 ◽  
Author(s):  
Jingdong Wei ◽  
Jiangbo Zhou ◽  
Zaili Zhen ◽  
Lixin Tian
Keyword(s):  
Traveling Waves ◽  
Epidemic Model ◽  
Reaction Diffusion ◽  
Periodic Traveling Waves ◽  
Time Periodic

scholarly journals TRAVELING WAVES OF A REACTION-DIFFUSION SIRQ EPIDEMIC MODEL WITH RELAPSE

2017 ◽  
Vol 7 (1) ◽  
pp. 147-171 ◽  
Author(s):  
Chengcheng Zhu ◽  
◽  
Wantong Li ◽  
Feiying Yang
Keyword(s):  
Traveling Waves ◽  
Epidemic Model ◽  
Reaction Diffusion

scholarly journals Speed determinacy of the traveling waves for a three species time-periodic Lotka-Volterra competition system

2021 ◽  
Author(s):  
Qiong Wu ◽  
Chaohong Pan ◽  
Hongyong Wang
Keyword(s):  
Traveling Waves ◽  
Upper And Lower Solutions ◽  
Sufficient Conditions ◽  
Lower Solution ◽  
Competition System ◽  
Periodic Traveling Waves ◽  
Minimal Wave Speed ◽  
Speed Selection ◽  
Time Periodic ◽  
Selection Of

In this paper, speed selection of the time periodic traveling waves for a three species time-periodic Lotka-Volterra competition system is studied via the upper-lower solution method as well as the comparison principle. Through constructing specific types of upper and lower solutions to the system, the speed selection of the minimal wave speed can be determined under some sets of sufficient conditions composed of the parameters in the system.

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