Uniform Boundedness and Global Existence of Solutions for a Predator-Prey Model with Switching Mechanism and Cross-Diffusion

被引：0

作者：

Lv, Xiaohua ^{[1
]}

Fu, Shengmao ^{[1
]}

机构：

[1] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II | 2010年

关键词：

predator-prey; switching mechanism; cross-diffusion; uniform boundedness; global solution; SYSTEMS; SELF;

D O I：

暂无

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Using the energy estimates and Gagliardo-Nirenberg type inequalities, the uniform boundedness and global existence of solutions for a two competing preys and one switching predator model with self- and cross-diffusion are proved.

引用

下载

页码：203 / 207

页数：5

共 50 条

[1] EXISTENCE OF GLOBAL SOLUTIONS FOR A PREDATOR-PREY MODEL WITH CROSS-DIFFUSION
Xu, Shenghu
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2008,
[2] UNIFORM BOUNDEDNESS AND STABILITY OF SOLUTIONS TO A CUBIC PREDATOR-PREY SYSTEM WITH CROSS-DIFFUSION
Huaihuo Cao1
2. Dept. of Math.
Annals of Applied Mathematics, 2009, (03) : 264 - 274
[3] UNIFORM BOUNDEDNESS AND STABILITY OF SOLUTIONS TO A CUBIC PREDATOR-PREY SYSTEM WITH CROSS-DIFFUSION
Huaihuo CaoShengmao Fu Dept of Math and Computer ScienceChizhou CollegeChizhou Anhui Dept of MathNorthwest Normal UniversityLanzhou
Annals of Differential Equations, 2009, 25 (03) : 264 - 274
[4] Existence of global solutions for a three-species predator-prey model with cross-diffusion
Pang, P. Y. H.
Wang, M. X.
MATHEMATISCHE NACHRICHTEN, 2008, 281 (04) : 555 - 560
[5] EXISTENCE OF GLOBAL SOLUTIONS FOR A PREY-PREDATOR MODEL WITH CROSS-DIFFUSION
Xu, Shenghu
Lv, Weidong
INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2010, 3 (02) : 161 - 172
[6] Existence and stability of global solutions for a cross-diffusion predator-prey model with sex-structure
Xu, Hongwu
Xu, Shenghu
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (03) : 999 - 1009
[7] Global solutions for a general predator-prey model with cross-diffusion effects
Zhang, Lina
Fu, Shengmao
ADVANCES IN DIFFERENCE EQUATIONS, 2012,
[8] Existence and Stability of Global Solutions for A Three-Species Predator-Prey Model with Cross-Diffusion
Xu, Shenghu
Lv, Weidong
Xu, Hongwu
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 377 - 382
[9] Global Behavior of Solutions in a Predator-Prey Cross-Diffusion Model with Cannibalism
Chen, Meijun
Fu, Shengmao
Yang, Xiaoli
COMPLEXITY, 2020, 2020
[10] Global solutions for a general predator-prey model with cross-diffusion effects
Lina Zhang
Shengmao Fu
Advances in Difference Equations, 2012

← 1 2 3 4 5 →