Steady state coexistence solutions of reaction-diffusion competition models
Analysis of PDEs
2008-06-24 v1 Populations and Evolution
Authors:
Joon Hyuk Kang
Abstract
This paper explains the uniqueness of positive steady state of general Lotka-Volterra competition model of two species of animals in the same environment.
Cite
@article{arxiv.math/0308094,
title = {Steady state coexistence solutions of reaction-diffusion competition models},
author = {Joon Hyuk Kang},
journal= {arXiv preprint arXiv:math/0308094},
year = {2008}
}
Related papers
View all related →
Analysis of PDEs · Mathematics
Global stability of nonhomogeneous equilibrium solution for the diffusive Lotka-Volterra competition model
Wenjie Ni, Junping Shi, Mingxin Wang
2020-07-21
Probability · Mathematics
Coexistence and duality in competing species models
Yu-Ting Chen, Matthias Hammer
2018-11-26
Analysis of PDEs · Mathematics
Coexistence-segregation dichotomy in the full cross-diffusion limit of the stationary SKT model
Jumpei Inoue, Kousuke Kuto, Homare Sato
2023-02-14
Analysis of PDEs · Mathematics
Competition between stable equilibria in reaction-diffusion systems: the influence of mobility on dominance
Emmanuel Risler
2017-03-08
Analysis of PDEs · Mathematics
Stability of Synchronized Steady State Solution of Diffusive Lotka-Volterra Predator-Prey Model
Yongyan Huang, Fuyi Li, Junping Shi
2020-07-21
Analysis of PDEs · Mathematics
Global existence and steady states of a two competing species Keller-Segel chemotaxis model
Jia Hu, Qi Wang, Jingyue Yang, Lu Zhang
2016-11-25
Populations and Evolution · Quantitative Biology
Species competition: coexistence, exclusion and clustering
Emilio Hernandez-Garcia, Cristobal Lopez, Simone Pigolotti, Ken H. Andersen
2009-07-22
Probability · Mathematics
Coexistence and Exclusion of Stochastic Competitive Lotka-Volterra Models
Dang Hai Nguyen, George Yin
2016-11-24
Analysis of PDEs · Mathematics
Convergence to the Equilibrium in a Lotka-Volterra Ode Competition System with Mutations
Jerome Coville, Frederic Fabre
2013-03-08
Dynamical Systems · Mathematics
Uniqueness and stability of coexistence states in two species models with/without chemotaxis on bounded heterogeneous environments
Tahir Bachar Issa, Wenxian Shen
2018-08-09
Analysis of PDEs · Mathematics
Qualitative analysis of a Lotka-Volterra competition system with advection
Chunyi Gai, Qi Wang, Jingda Yan
2015-05-28
Dynamical Systems · Mathematics
Global dynamics of a competition-diffusion system and application to a modified Leslie-Gower model
Leqi Chen, Shuang Chen
2020-08-18
Analysis of PDEs · Mathematics
A two-species competition model with mixed dispersal and free boundaries in time-periodic environment
Qiaoling Chen, Fengquan Li, Sanyi Tang, Feng Wang
2021-01-21
Populations and Evolution · Quantitative Biology
Metastability as a coexistence mechanism in a model for dryland vegetation patterns
Lukas Eigentler, Jonathan A. Sherratt
2019-11-26
Probability · Mathematics
Competitive or Weak Cooperative Stochastic Lotka-Volterra Systems Conditioned to Non-Extinction
Patrick Cattiaux, Sylvie Méléard
2008-11-04
Analysis of PDEs · Mathematics
Persistence, coexistence and extinction in two species chemotaxis models on bounded heterogeneous environments
Tahir Bachar Issa, Wenxian Shen
2018-06-11
Dynamical Systems · Mathematics
A Lotka-Volterra competition model with nonlocal diffusion and free boundaries
Jia-Feng Cao, Wan-Tong Li, Jie Wang
2019-05-24
Analysis of PDEs · Mathematics
Global dynamics of a general competition diffusion system in spatially heterogeneous environments
Qi Wang
2021-03-04
Analysis of PDEs · Mathematics
On the long term spatial segregation for a competition-diffusion system
Marco Squassina
2008-06-06
Probability · Mathematics
Stochastic Lotka-Volterra Competitive Reaction-Diffusion Systems Perturbed by Space-Time White Noise: Modeling and Analysis
N. N. Nguyen, G. Yin
2021-05-10
Classical Analysis and ODEs · Mathematics
Convergence to equilibrium in competitive Lotka-Volterra equations
Nicolas Champagnat, Pierre-Emmanuel Jabin, Gael Raoul
2010-06-29
General Mathematics · Mathematics
Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I
Md. Kamrujjaman, Mayesha Sharmim Tisha
2024-12-03
Analysis of PDEs · Mathematics
Boundary and Interior Control in a Diffusive Lotka-Volterra Model
João Carlos Barreira, Maicon Sonego, Enrique Zuazua
2025-11-04
Analysis of PDEs · Mathematics
Propagation Phenomena for A Reaction-Advection-Diffusion Competition Model in A Periodic Habitat
Xiao Yu, Xiao-Qiang Zhao
2014-10-20
Analysis of PDEs · Mathematics
Controllability of diffusive Lotka-Volterra strongly competitive systems under boundary constrained controls
Elisa Affili, Enrique Zuazua
2025-08-04