Invasive speed for a competition-diffusion system with three species.

C Pan, H Wang, C Ou - Discrete & Continuous Dynamical …, 2022 - search.ebscohost.com
Competition stems from the fact that resources are limited. When multiple competitive
species are involved with spatial diffusion, the dynamics becomes even complex and …

Existence and stability of non-monotone travelling wave solutions for the diffusive Lotka–Volterra system of three competing species

CH Chang, CC Chen, LC Hung, M Mimura… - …, 2020 - iopscience.iop.org
This paper considers the problem: if coexistence occurs in the long run when a third species
w invades an ecosystem consisting of two species u and v on $\mathbb {R} $, where u, v …

Existence of Front–Back-Pulse Solutions of a Three-Species Lotka–Volterra Competition–Diffusion System

CH Chang, CC Chen - Journal of Dynamics and Differential Equations, 2023 - Springer
The existence of nonmonotone traveling wave solutions of the three-species Lotka–Volterra
competition diffusion system under strong competition is established. A traveling wave …

Bistable wavefronts of three-species competition-diffusion systems: Weak competition strategy between two species

CH Chang, CH Wu - Journal of Differential Equations, 2025 - Elsevier
This paper investigates the existence of wavefront solutions of the bistable Lotka-Volterra
three-species competition-diffusion system. Due to the lack of the maximum principle, we …

[PDF][PDF] On the minimal speed determinacy of traveling waves to a three-species competition model

AS Alhasanat - Adv. Math. Models Appl, 2023 - researchgate.net
The minimal wave speed determinacy of traveling wave solution to a competitive three-
species system is investigated. Particularly, we are concerned about the speed at which a …

Speed determinacy of travelling waves for a three-component lattice Lotka–Volterra competition system

Y Tang, C Pan, H Wang, Z Ouyang - Journal of biological dynamics, 2022 - Taylor & Francis
In this paper, the invasive speed selection of the monostable travelling wave for a three-
component lattice Lotka–Volterra competition system is studied via the upper and lower …

NONEXISTENCE OF TRAVELING WAVE SOLUTIONS, EXACT AND SEMI-EXACT TRAVELING WAVE SOLUTIONS FOR DIFFUSIVE LOTKA-VOLTERRA SYSTEMS …

CC Chen, LC Hung - Communications on Pure & Applied …, 2016 - search.ebscohost.com
In reaction-diffusion models describing the interaction between the invading grey squirrel
and the established red squirrel in Britain, Okubo et al.([19]) found that in certain parameter …

[HTML][HTML] The stability of traveling wave solutions for a diffusive competition system of three species

CH Chang - Journal of Mathematical Analysis and Applications, 2018 - Elsevier
In this article, we investigate the stability of monotone traveling wave solutions for a diffusive
three species competition system. By considering the initial perturbations of the traveling …

Speed determinacy of the traveling waves for a three species time‐periodic Lotka–Volterra competition system

Q Wu, C Pan, H Wang - Mathematical Methods in the Applied …, 2022 - Wiley Online Library
Some physical environmental conditions changing in time create a great difficulty in studying
time‐periodic traveling wave solutions. In this paper, we investigate speed selection of time …

Minimal-speed selection of traveling fronts to a three components lattice competition system

Y Zhang, SL Wu - International journal of biomathematics, 2022 - World Scientific
In this paper, we study the traveling wave problem for a three species lattice competition
system with monostable nonlinearity. We are interested in the linear or nonlinear …