位置：成果数据库 > 期刊 > 期刊详情页
一类具有非局部扩散的时滞Lotka-Volterra竞争模型的行波解
  • ISSN号：0254-3079
  • 期刊名称：应用数学学报
  • 时间：2011
  • 页码：1082-1093
  • 分类：O175.2[理学—数学;理学—基础数学]
  • 作者机构：[1]装甲兵工程学院基础部,北京100072, [2]北京大学数学科学学院,北京100871, [3]上海理工大学理学院,上海200093, [4]北京师范大学数学科学学院,北京100875
  • 相关基金：国家自然科学基金（11101282,10671021）资助项目.
  • 相关项目：非单调系统的行波解及一些相关问题
作者： 夏静|余志先|袁荣|
关键词： Lotka-Volterra竞争模型, 行波解, 上下解, 非局部扩散, 时滞, competitive Lotka-Volterra model, traveling wave, upper-lower solution nonlocal diffusion, time delay
中文摘要：

本文研究一类具有非局部扩散的时滞Lotka-Volterra竞争模型 行波解的存在性问题．通过利用交叉迭代技巧，我们可以把行波解的存在性转化为寻找一对适当的上下解，这篇文章中的结果推广了已有的一些结果．

英文摘要：

In this paper, we consider the existence of traveling waves for a competitive Lotka-Volterra model with nonlocal diffusion and time delays By a crossing interation technique, we reduce the existence of traveling waves to looking for a suitable upper-lower solutions. The result in the present paper extends some known results.

同期刊论文项目
概周期微分方程及一些相关问题
期刊论文 32 著作 1
非单调系统的行波解及一些相关问题
期刊论文 21
同项目期刊论文
Homoclinic solutions of some second order non-autonomous systems
Higher-codimension bifurcations caused by delay
Homoclinic solutions for some second order non-autonomous Hamiltonian systems without the globally s
On the almost periodic solution of a class of singularly perturbed differential equations with piece
Existence of oscillating solution for nonlinear state-dependent delay differential equation
差分方程解的稳定性、有界性及概周期解的存在性
Global attractivity in delayed differential equations with applications to "food-limited" population
Massera Type Theorems for Abstract Functional Differential Equations
Global attractivity and positive almost periodic solution for delay logistic differential equation
An affirmative answer to Gopalsamy and Liu's conjecture in a population model
有限格上具有年龄结构生物模型的动力学行为
Homoclinic solutions for a class of second order non-autonomous systems
A sufficient condition for the global asymptotic stability of a class of logistic equations with pie
Existence of periodic solutions for p(t)-Laplacian systems
The persistence of a general nonautonomous single-species Kolmogorov system with delays
Uniform persistence and periodic solutions for Kolmogorov system with delays
Existence of mild solutions for semilinear evolution equations with non-local initial conditions
Existence of almost periodic solutions for neutral delay difference systems
Asymptotic behavior of solutions to abstract functional differential equations
A class of expansive-type Krasnosel'skii fixed point theorems
Homoclinic solutions for a class of non-autonomous subquadratic second-order Hamiltonian systems
THE EFFECTS OF HARVESTING AND TIME DELAY ON PREDATOR-PREY SYSTEMS WITH HOLLING TYPE II FUNCTIONAL RE
On the spectrum of almost periodic solution of second order scalar functional differential equations
Periodic solution and wave front solution for delay equation
Pseudo almost periodic solutions of a singularly perturbed differential equation with piecewise cons
一类中立型积分方程的正的概周期解
Global attractivity and positive almost periodic solution of a single species population model
On the module of almost periodic output for sampled-data feedback control systems
On almost periodic solutions of logistic delay differential equations with almost periodic time depe
逐段常变量微分方程组概周期型解存在唯一性
On the solvability of periodic boundary value problems with impulse
Traveling Waves for Delayed Cellular Neural Networks with Nonmonotonic Output Functions
Asymptotics and Uniqueness of Travelling Waves for Non-Monotone Delayed Systems on 2D Lattices
CAS小波求高阶Volterra积分微分方程数值解
高阶积分微分方程小波数值解法
Traveling waves for competitive Lotka-Volterra systems with spatial diffusions and spatio-temporal d
STABILITY AND HOPF BIFURCATION IN A SYMMETRIC LOTKA-VOLTERRA PREDATOR-PREY SYSTEM WITH DELAYS
Uniqueness of critical traveling wave for delayed lattice equation
Monotone traveling waves of a population model with non-monotone terms
Existence,Asymptotics and Uniqueness of traveling waves for nonlocal diffusion systems with delayed
一类具有时滞的反应扩散Lotka-Volterra竞争系统行波解的存在性
具有时滞的时间离散反应扩散系统行波解的存在性
格上时滞单种群模型的行波解的渐近性
Adomian分解法求解二维非线性Fredholm积分方程
算子矩阵法求高阶弱奇异积分微分方程数值解
期刊信息
  • 《应用数学学报》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国数学会 中国科学院数学与系统科学研究院
  • 主编：丁夏畦
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100190
  • 邮箱：
  • 电话：
  • 国际标准刊号：ISSN：0254-3079
  • 国内统一刊号：ISSN：11-2040/O1
  • 邮发代号:2-822
  • 获奖情况:
  • 1996、2000年获“中科院优秀科技期刊”三等奖,1997年获“第二届全国优秀科技期刊”三等奖,2001年入选“双效期刊”（中国期刊方阵）
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:6864