scholarly journals Entire solutions for nonlocal dispersal equations with spatio-temporal delay: Monostable case

2015 ◽  
Vol 258 (7) ◽  
pp. 2435-2470 ◽  
Author(s):  
Shi-Liang Wu ◽  
Shigui Ruan
Keyword(s):  
Temporal Delay ◽  
Entire Solutions ◽  
Nonlocal Dispersal ◽  
Spatio Temporal

Traveling wave solutions of a nonlocal dispersal SIRS model with spatio-temporal delay

2017 ◽  
Vol 10 (05) ◽  
pp. 1750071 ◽  
Author(s):  
Zhaohai Ma ◽  
Rong Yuan
Keyword(s):  
Fixed Point ◽  
Traveling Wave ◽  
Wave Speed ◽  
Traveling Wave Solutions ◽  
Temporal Delay ◽  
Nonlocal Dispersal ◽  
Wave Solutions ◽  
Sirs Model ◽  
Existence And Nonexistence ◽  
Spatio Temporal

This paper is mainly concerned with the existence and nonexistence of traveling wave solutions of a nonlocal dispersal SIRS model with nonlocal delayed transmissions. We find that the existence and nonexistence of traveling wave solutions are determined by the critical wave speed [Formula: see text]. More specifically, we establish the existence of traveling wave solutions for every wave speed [Formula: see text] and [Formula: see text] by means of upper-lower solutions and Schauder’s fixed point theorem. Nonexistence of traveling wave solutions is obtained by Laplace transform for any wave speed [Formula: see text] and [Formula: see text].

scholarly journals Traveling waves in a nonlocal dispersal epidemic model with spatio-temporal delay

2020 ◽  
Vol 19 (5) ◽  
pp. 2853-2886
Author(s):  
Jingdong Wei ◽  
◽  
Jiangbo Zhou ◽  
Wenxia Chen ◽  
Zaili Zhen ◽  
...  
Keyword(s):  
Traveling Waves ◽  
Epidemic Model ◽  
Temporal Delay ◽  
Nonlocal Dispersal ◽  
Spatio Temporal

Entire Solutions for Nonlocal Dispersal Equations with Bistable Nonlinearity: Asymmetric Case

2019 ◽  
Vol 35 (11) ◽  
pp. 1771-1794 ◽  
Author(s):  
Li Zhang ◽  
Wan Tong Li ◽  
Zhi Cheng Wang ◽  
Yu Juan Sun
Keyword(s):  
Entire Solutions ◽  
Nonlocal Dispersal ◽  
Asymmetric Case ◽  
Bistable Nonlinearity
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