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Global dynamics of a Lotka–Volterra competition–diffusion–advection system in heterogeneous environments
Abstract We study a Lotka–Volterra type reaction–diffusion–advection system, which
describes the competition for the same resources between two aquatic species undergoing …
describes the competition for the same resources between two aquatic species undergoing …
Evolution of dispersal in open advective environments
We consider a two-species competition model in a one-dimensional advective environment,
where individuals are exposed to unidirectional flow. The two species follow the same …
where individuals are exposed to unidirectional flow. The two species follow the same …
[HTML][HTML] Evolution of dispersal in advective homogeneous environment: the effect of boundary conditions
Y Lou, P Zhou - Journal of Differential Equations, 2015 - Elsevier
We consider a single species model and a two-species competition model in a one-
dimensional advective homogeneous environment. One interesting feature in these models …
dimensional advective homogeneous environment. One interesting feature in these models …
[HTML][HTML] A review on the dynamics of two species competitive ODE and parabolic systems
W Qin, P Zhou - Journal of Applied Analysis & Computation, 2022 - jaac-online.com
This paper is devoted to a review on the dynamics of two species competition systems
including the classical ODE, reaction-diffusion as well as reaction-diffusion-advection …
including the classical ODE, reaction-diffusion as well as reaction-diffusion-advection …
On a competition-diffusion-advection system from river ecology: mathematical analysis and numerical study
X Yan, H Nie, P Zhou - SIAM Journal on Applied Dynamical Systems, 2022 - SIAM
This paper is mainly concerned with a two-species competition model in open advective
environments, where individuals cannot pass through the upstream boundary and do not …
environments, where individuals cannot pass through the upstream boundary and do not …
[HTML][HTML] Long time behavior of solutions of Fisher-KPP equation with advection and free boundaries
H Gu, B Lou, M Zhou - Journal of Functional Analysis, 2015 - Elsevier
We consider Fisher-KPP equation with advection: ut= uxx− β u x+ f (u) for x∈(g (t), h (t)),
where g (t) and h (t) are two free boundaries satisfying Stefan conditions. This equation is …
where g (t) and h (t) are two free boundaries satisfying Stefan conditions. This equation is …
On a Lotka–Volterra competition model: the effects of advection and spatial variation
XQ Zhao, P Zhou - Calculus of Variations and Partial Differential …, 2016 - Springer
We consider a two-species Lotka–Volterra competition model in a one-dimensional habitat
where one species assumes pure random diffusion while another one undergoes mixed …
where one species assumes pure random diffusion while another one undergoes mixed …
[PDF][PDF] Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment
P Zhou, D **ao, Y Lou - Discrete and Continuous Dynamical Systems, 2016 - par.nsf.gov
We study a two-species Lotka-Volterra competition model in an advective homogeneous
environment. It is assumed that two species have the same population dynamics and …
environment. It is assumed that two species have the same population dynamics and …
Hopf bifurcation in a delayed reaction–diffusion–advection population model
S Chen, Y Lou, J Wei - Journal of Differential Equations, 2018 - Elsevier
In this paper, we investigate a reaction–diffusion–advection model with time delay effect.
The stability/instability of the spatially nonhomogeneous positive steady state and the …
The stability/instability of the spatially nonhomogeneous positive steady state and the …
Evolution of dispersal in closed advective environments
We study a two-species competition model in a closed advective environment, where
individuals are exposed to unidirectional flow (advection) but no individuals are lost through …
individuals are exposed to unidirectional flow (advection) but no individuals are lost through …