On a Lotka-Volterra Competition Diffusion Model with Advection

2021 ◽  
Vol 42 (6) ◽  
pp. 891-908
Author(s):  
Qi Wang
Keyword(s):  
Diffusion Model ◽  
Competition Diffusion

Lie Symmetry Solutions of Coupled Lotka-Volterra Competition-Diffusion Model

2020 ◽  
Vol 66 (3) ◽  
pp. 39-52
Author(s):  
Peter O Ojwala ◽  
Michael O Okoya ◽  
Robert Obogi
Keyword(s):  
Diffusion Model ◽  
Lie Symmetry ◽  
Competition Diffusion

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

scholarly journals Forced waves in a Lotka-Volterra competition-diffusion model with a shifting habitat

2021 ◽  
Vol 276 ◽  
pp. 433-459
Author(s):  
Fang-Di Dong ◽  
Bingtuan Li ◽  
Wan-Tong Li
Keyword(s):  
Diffusion Model ◽  
Forced 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

Dynamics for a two-species competition–diffusion model with two free boundaries

Nonlinearity ◽  
2014 ◽  
Vol 28 (1) ◽  
pp. 1-27 ◽  
Author(s):  
Jong-Shenq Guo ◽  
Chang-Hong Wu
Keyword(s):  
Diffusion Model ◽  
Species Competition ◽  
Free Boundaries ◽  
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.

scholarly journals Note on a two-species competition-diffusion model with two free boundaries

2017 ◽  
Vol 159 ◽  
pp. 458-467 ◽  
Author(s):  
Mingxin Wang ◽  
Yang Zhang
Keyword(s):  
Diffusion Model ◽  
Species Competition ◽  
Free Boundaries ◽  
Competition Diffusion
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