A free boundary problem for two-species competitive model in ecology

被引：9

作者：

Ling, Zhi ^{[1
]}

Tang, Qiulin ^{[1
]}

Lin, Zhigui ^{[1
]}

机构：

[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 03期

关键词：

Free boundary; Global classical solution; Fixed point theorem; STABILITY; SYSTEM; LIMIT;

D O I：

10.1016/j.nonrwa.2009.04.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a free boundary problem which is used to describe the two-species competitive model in ecology The existence and uniqueness of a global classical solution are given by invoking the Schauder fixed point theorem. We study the evolution of the free boundary problem and show that the free boundary problem is well posed (C) 2009 Elsevier Ltd All rights reserved.

引用

页码：1775 / 1781

页数：7

共 50 条

[31] ASYMPTOTIC DYNAMICS IN A TWO-SPECIES CHEMOTAXIS MODEL WITH NON-LOCAL TERMS [J].

Issa, Tahir Bachar ;

Salako, Rachidi Bolaji .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (10) :3839-3874

[32] Dynamical Analysis in an Exploited Two-Species Competition Model with Double Time Delays [J].

Lu, Na ;

Liu, Chao ;

Guo, Jingmei .

PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC), 2016, :2073-2078

[33] NUMERICAL STUDY OF TWO-SPECIES CHEMOTAXIS MODELS [J].

Kurganov, Alexander ;

Lukacova-Medvidova, Maria .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2014, 19 (01) :131-152

[34] Dynamical analysis on stochastic two-species models [J].

Wang, Guangbin ;

Lv, Jingliang ;

Zou, Xiaoling .

APPLICABLE ANALYSIS, 2024, 103 (10) :1863-1881

[35] Traveling wave solutions for a two-species competitive Keller-Segel chemotaxis system [J].

Wang, Yizhuo ;

Guo, Shangjiang .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, 73

[36] Analytical solutions to the free boundary problem of a two-phase model with radial and cylindrical symmetry [J].

Xue, Hongxia ;

Dong, Jianwei .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2025, 250

[37] Two-species nonlocal cross-diffusion models with free boundaries [J].

Tan, Qi-Jian ;

Feng, Yu-Wen .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 525 (02)

[38] A two-species hyperbolic-parabolic model of tissue growth [J].

Gwiazda, Piotr ;

Perthame, Benoit ;

Swierczewska-Gwiazda, Agnieszka .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019, 44 (12) :1605-1618

[39] DYNAMICS OF A DIFFUSIVE TWO-SPECIES INTERACTION MODEL WITH MEMORY EFFECT [J].

Wang, Dianhong ;

Wang, Chuncheng .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2025, 30 (08) :2740-2759

[40] Bifurcation analysis of coexistent state in a delayed two-species predator-prey model [J].

Ma Li ;

Xie Xianhua .

APPLICABLE ANALYSIS, 2020, 99 (07) :1195-1217

← 1 2 3 4 5 →