scholarly journals Stacked invasion waves in a competition-diffusion model with three species

2021 ◽  
Vol 271 ◽  
pp. 665-718
Author(s):  
Qian Liu ◽  
Shuang Liu ◽  
King-Yeung Lam
Keyword(s):  
Diffusion Model ◽  
Invasion Waves ◽  
Competition Diffusion

ENTIRE SOLUTIONS FOR LOTKA–VOLTERRA COMPETITION-DIFFUSION MODEL

2013 ◽  
Vol 06 (04) ◽  
pp. 1350020 ◽  
Author(s):  
XIAOHUAN WANG ◽  
GUANGYING LV
Keyword(s):  
Classical Solution ◽  
Diffusion Model ◽  
Entire Solution ◽  
Entire Solutions ◽  
Wave Fronts ◽  
Space And Time ◽  
Time Variables ◽  
Competition Diffusion

This paper is concerned with the existence of entire solutions of Lotka–Volterra competition-diffusion model. Using the comparing argument and sub-super solutions method, we obtain the existence of entire solutions which behave as two wave fronts coming from the both sides of x-axis, where an entire solution is meant by a classical solution defined for all space and time variables.

Persistence and Spread of Solutions in a Two-Species Lotka--Volterra Competition-Diffusion Model with a Shifting Habitat

2021 ◽  
Vol 81 (4) ◽  
pp. 1600-1622
Author(s):  
Fang-Di Dong ◽  
Jin Shang ◽  
William Fagan ◽  
Bingtuan Li
Keyword(s):  
Diffusion Model ◽  
Competition Diffusion

scholarly journals Heterogeneity and strong competition in ecology

2018 ◽  
Vol 30 (04) ◽  
pp. 682-706
Author(s):  
H. HUTRIDURGA ◽  
C. VENKATARAMAN
Keyword(s):  
Evolution Equation ◽  
Numerical Simulations ◽  
Diffusion Model ◽  
Limit Problem ◽  
Effective Coefficients ◽  
Spatial Dimensions ◽  
Strong Competition ◽  
Competition Diffusion

We study a competition-diffusion model while performing simultaneous homogenization and strong competition limits. The limit problem is shown to be a Stefan-type evolution equation with effective coefficients. We also perform some numerical simulations in one and two spatial dimensions that suggest that oscillations in motilities are detrimental to invasion behaviour of a species.

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