GLOBAL DYNAMICS OF A NONLOCAL REACTION-DIFFUSION-ADVECTION TWO-SPECIES PHYTOPLANKTON MODEL

被引：0

作者：

Jiang, Danhua ^{[1
]}

Cheng, Shiyuan ^{[1
]}

Li, Yun ^{[2
]}

Wang, Zhi-Cheng ^{[2
]}

机构：

[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 152卷 / 09期

关键词：

Phytoplankton; nonlocal reaction-diffusion-advection system; mono tone dynamical system; coexistence; VERTICAL-DISTRIBUTION; COMPETITION; NUTRIENT; EQUATION; GROWTH; DEPTH; LIGHT;

D O I：

10.1090/proc/16873

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We continue our study on the global dynamics of a nonlocal reaction-diffusion-advection system modeling the population dynamics of two competing phytoplankton species in a eutrophic environment, where the species depend solely on light for their metabolism. In our previous works, we proved that system (1.1) is a strongly monotone dynamical system with respect to a non-standard cone, and some competitive exclusion results were obtained. In this paper, we aim to demonstrate the existence of coexistence steady state as well as competitive exclusion. Our results highlight that advection in dispersal strategy can lead to transitions between various competitive outcomes.

引用

页码：3841 / 3853

页数：13

共 50 条

[1] HOPF BIFURCATION IN A TWO-SPECIES REACTION-DIFFUSION-ADVECTION COMPETITIVE MODEL WITH NONLOCAL DELAY
Wen, Tingting
Wang, Xiaoli
Zhang, Guohong
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2023, 22 (05) : 1517 - 1544
[2] A nonlocal and periodic reaction-diffusion-advection model of a single phytoplankton species
Rui Peng
Xiao-Qiang Zhao
[J]. Journal of Mathematical Biology, 2016, 72 : 755 - 791
[3] A nonlocal and periodic reaction-diffusion-advection model of a single phytoplankton species
Peng, Rui
Zhao, Xiao-Qiang
[J]. JOURNAL OF MATHEMATICAL BIOLOGY, 2016, 72 (03) : 755 - 791
[4] On a nonlocal reaction-diffusion-advection equation modelling phytoplankton dynamics
Du, Yihong
Mei, Linfeng
[J]. NONLINEARITY, 2011, 24 (01) : 319 - 349
[5] Bifurcation and stability of a two-species reaction-diffusion-advection competition model
Ma, Li
Guo, Shangjiang
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 59
[6] DYNAMICS OF A REACTION-DIFFUSION-ADVECTION MODEL FOR TWO COMPETING SPECIES
Chen, Xinfu
Lam, King-Yeung
Lou, Yuan
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2012, 32 (11) : 3841 - 3859
[7] MONOTONICITY AND GLOBAL DYNAMICS OF A NONLOCAL TWO-SPECIES PHYTOPLANKTON MODEL
Jiang, Danhua
Lam, King-Yeung
Lou, Yuan
Wang, Zhi-Cheng
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 2019, 79 (02) : 716 - 742
[8] Competitive exclusion in a nonlocal reaction-diffusion-advection model of phytoplankton populations
Jiang, Danhua
Lam, King-Yeung
Lou, Yuan
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 61
[9] Stability and bifurcation in a two-species reaction-diffusion-advection competition model with time delay
Ma, Li
Feng, Zhaosheng
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 61
[10] A Nonlocal Reaction-Diffusion-Advection System Modeling the Phytoplankton and Zooplankton
Wang, Biao
Nie, Hua
Wu, Jianhua
[J]. Studies in Applied Mathematics, 2025, 154 (01)

← 1 2 3 4 5 →