位置：成果数据库 > 期刊 > 期刊详情页
一类三次捕食者-食饵交错扩散系统解的整体存在性和稳定性
  • ISSN号：1001-9847
  • 期刊名称：《应用数学》
  • 时间：0
  • 分类：O175.26[理学—数学;理学—基础数学]
  • 作者机构：[1]池州学院数学与计算机科学系,安徽池州247000, [2]西北师范大学数学与信息科学学院,甘肃兰州730070
  • 相关基金：Supported by the China National Natural Science Foundation （10671158）, the NSF of Gansu Province （3ZS061-A25-015） ,the Scientific Research Fund of Gansu Provincial Education Department （060121） and NWNU-KJCXGC-03-18,39 Foundations
作者： 曹怀火[1], 伏升茂[2]
关键词： 三次捕食者-食饵, 自扩散, 交错扩散, 整体存在性, 稳定性, Cubic predator-pre, Self and cross-diffusion , Global existence , Stability
中文摘要：

首先引进一类三次捕食者-食饵交错扩散系统，该系统是两种群Lotka—Volterra交错扩散系统的推广，现有的已知结果目前很少．本文应用能量估计方法，结合Shauder理论和bootstrap技巧讨论该系统古典整体解的存在唯一性，并在反应函数的系数满足一定条件时，通过构造Lyapunov函数证明系统正平衡点的全局渐近性．

英文摘要：

This paper firstly proposed a cubic predator-prey cross-diffusion system, which was a generalization of the two-species Lotka-Volterra predator-prey model, as well as very few mathematical results were known for it. Next using energy estimates and the bootstrap arguments, we investigated the global existence of classical solutions for system. Finally, the global asymptotic stability of positive equilibrium point of the system was proved by Lyapunov functions.

同期刊论文项目
线性常微分方程非局部特征值问题及其非线性扰动
期刊论文 53 著作 1
同项目期刊论文
Asymptotic nonuniform nonresonance conditions for a nonlinear discrete boundary value problem
Existence result for a singular nonlinear boundary value problem at resonance
Global behavior of the components of nodal solutions of asymptotically linear eigenvalue problems
On nonresonance problems of second-order difference systems
Nodal solutions for a nonlinear fourth-order eigenvalue problem
Sign-changing solutions of nonlinear boundary value problems of difference equations
Global behavior of the components for the second order m-point boundary value problems
Existence of sign-changing periodic solutions of second order difference equations
Existence and multiple solutions for nonlinear second-order discrete problems with minimum and maxim
Global structure of positive solutions for nonlocal boundary value problems involving integral condi
A Global Description of the Positive Solutions of Sublinear Second-Order Discrete Boundary Value Pro
Existence of positive solutions for a semipositone boundary value problem on the half-line
Existence of nodal solutions of a nonlinear eigenvalue problem with indefinite weight function
Unbounded perturbations of nonlinear discrete periodic problem at resonance
Existence and multiplicity of positive solutions of a nonlinear eigenvalue problem with indefinite w
Global structure of positive solutions for superlinear second order m-point BVPs
On the existence and uniqueness for higher order periodic boundary value problems
Global existence and stability of solution of a reaction-diffusion model for cancer invasion
Nodal solutions of second-order boundary value problems with superlinear or sublinear nonlinearities
Unbounded perturbations of Nonlinear second-order difference equations at resonance
Positive solutions for boundary value problems of functional differential equations
Nodal solutions for singular nonlinear eigenvalue problems
Nonlinear discrete Sturm-Liouville problems at resonance
Bifurcation from infinity and multiple solutions for some discrete Sturm-Liouville problems
Sign-variations of solutions of nonlinear discrete boundary value problems
Forced symmetric oscillations
FIXED POINT THEORY FOR ADMISSIBLE PAIRS AND MAPS IN FRECHET SPACES VIA DEGREE THEORY
齐次Morrey-Herz空间上粗糙核高阶交换子的有界性
具有粗糙核Marcinkiewicz积分交换子的Lipschitz估计
一类泛函差分方程最大最小周期解的存在性
耦合梁方程解的渐近性
两端滑动支撑弹性梁方程正解的存在性
带变量核的Marcinkiewicz积分在齐次Morrey-Herz空间上的有界性
一类非齐次Kawahara方程的Cauchy问题
Kawahara方程初值问题修正能量的几乎守恒性质
带粗糙核的Marcinkiewicz积分算子在加权Morrey-Herz空间的有界性
UNIFORM BOUNDEDNESS AND STABILITY OF SOLUTIONS TO A CUBIC PREDATOR-PREY SYSTEM WITH CROSS-DIFFUSION
二阶奇异Neumann边值问题正解的存在性
带有不定权的二阶差分系统正解的存在性
粗糙Vague集（值）间k步相似度量新方法
一类泛函微分方程正周期解的存在性
奇异三阶m点边值问题的可解性
共振条件下的二阶多点边值问题解的存在性和多解性
乘积Laguerre超群K^n上的广义小波及其Weyl变换
二阶常微分方程周期解的全局分歧
二阶常微分方程无穷多点边值问题的正解
齐次Morrey-Herz空间上分数次积分算子高阶交换子的有界性
期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
  • 邮箱：yysx_hust@163.com
  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
  • 获奖情况:
  • 中国科学引文数据库来源期刊,中国学术期刊综合评价数据库来源期刊
  • 国内外数据库收录:
  • 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:4139