scholarly journals ASYMPTOTIC SPREADING IN A COMPETITION SYSTEM WITH NONLOCAL DISPERSAL

2020 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Xiaoming Yang ◽  
◽  
Guo Lin ◽  
Jianing Yang ◽  
Keyword(s):  
Nonlocal Dispersal ◽  
Competition System ◽  
Asymptotic Spreading

Existence and stability of invasion traveling waves for a competition system with random vs. nonlocal dispersals

2019 ◽  
Vol 12 (01) ◽  
pp. 1950004
Author(s):  
Jiao Wang ◽  
Zhixian Yu ◽  
Yanling Meng
Keyword(s):  
Traveling Waves ◽  
Weighted Spaces ◽  
Nonlocal Dispersal ◽  
Asymptotic Behaviors ◽  
Competition System ◽  
Weighted Energy ◽  
Existence And Stability ◽  
Exponentially Stable ◽  
Exponentially Weighted

The purpose of this paper is to investigate asymptotic behaviors of the solutions for a competition system with random vs. nonlocal dispersal. We first prove the existence of invasion traveling waves via using the theory of asymptotic speeds of spread. Then we prove the invasion traveling waves are exponentially stable as perturbation in some exponentially weighted spaces by using the weighted energy and the squeezing technique.

The spreading speed of an SIR epidemic model with nonlocal dispersal

2020 ◽  
Vol 120 (1-2) ◽  
pp. 163-174 ◽  
Author(s):  
Jong-Shenq Guo ◽  
Amy Ai Ling Poh ◽  
Masahiko Shimojo
Keyword(s):  
Comparison Principle ◽  
Epidemic Model ◽  
Sir Model ◽  
Spreading Speed ◽  
Sir Epidemic Model ◽  
Nonlocal Dispersal ◽  
Sir Epidemic ◽  
Scalar Equations ◽  
Asymptotic Spreading

In this paper, we study an SIR epidemic model with nonlocal dispersal. We study the case with vital dynamics so that a renewal of the susceptible individuals is taken into account. We characterize the asymptotic spreading speed to estimate how fast the disease under consideration spreads. Due to the lack of comparison principle for the SIR model, our proof is based on a delicate analysis of related problems with nonlocal scalar equations.

scholarly journals Asymptotic spreading speed for the weak competition system with a free boundary

2019 ◽  
Vol 39 (9) ◽  
pp. 5223-5262 ◽  
Author(s):  
Zhiguo Wang ◽  
◽  
Hua Nie ◽  
Yihong Du ◽  
Keyword(s):  
Free Boundary ◽  
Spreading Speed ◽  
Competition System ◽  
Asymptotic Spreading

scholarly journals Invasion entire solutions in a competition system with nonlocal dispersal

2015 ◽  
Vol 35 (4) ◽  
pp. 1531-1560 ◽  
Author(s):  
Wan-Tong Li ◽  
◽  
Li Zhang ◽  
Guo-Bao Zhang ◽  
◽  
...  
Keyword(s):  
Entire Solutions ◽  
Nonlocal Dispersal ◽  
Competition System
Sign in / Sign up

Export Citation Format

Share Document