位置：成果数据库 > 期刊 > 期刊详情页
含两类食饵和一类捕食者种群的扩散模型的稳定性
  • ISSN号：1001-988X
  • 期刊名称：《西北师范大学学报：自然科学版》
  • 时间：0
  • 分类：O175.2[理学—数学;理学—基础数学]
  • 作者机构：[1]西北师范大学数学与信息科学学院,甘肃兰州730070
  • 相关基金：国家自然科学基金资助项目（11061031）; 甘肃省自然科学基金资助项目（096RJZA118）
作者： 伏升茂[1], 胡蓉蓉[1]
关键词： 捕食模型, 扩散, 全局稳定性, Lyapunov函数, predator-prey model, diffusion, global stability, Lyapunov function
中文摘要：

考察一个含两类食饵和一类捕食者种群的反应扩散模型解的长时间性态.首先应用线性化方法得到非负平衡点的局部稳定性,然后通过构造Lyapunov函数得到全局稳定性.

英文摘要：

This paper deals with the large time behavior of the positive solutions for a reaction-diffusion model with two-prey and one-predator.The locally asymptotical stability and the globally asymptotical stability of the nonnegative equilibrium points are given by linearization and Lyapunov functions,respectively.

同期刊论文项目
退缩和不退缩型强耦合交错扩散模型解的整体性态
期刊论文 66 会议论文 2
同项目期刊论文
Instability induced by cross-diffusion in a predator-prey model with sex structure
Nonconstant positive steady states of a predator-prey model with cannibalism
Existence of positive solutions for a fourth-oder periodic boundary value problem
Positive periodic solutions for a second-order functional differential equation
Monotone iterative technique for a class of semilinear evolution equations with nonlocal conditions,
Global Asymptotic Behavior of a Nonautonomous Competitor-Competitor-Mutualist Model
Positive solutions for Neumann boundary value problems of second-order impulsive differential equati
Positive periodic solutions for second-order ordinary differential equations with derivative terms a
Existence results for a fully fourth-order boundary value problem
A mathematical characterization for patterns of a Keller-Segel model with a cubic source
Least energy solutions for a non-linear Schrödinger system with electromagnetic ?elds and poten
Existence of solutions for a general quasilinear elliptic system via perturbation method
Pattern Formation of a Keller-Segel Model with the source term u^p(1-p)
Existence of mild solutions for the elastic systems with structural damping in Banach spaces
Nonlocal problem for fractional evolution equations of mixed type with the measure of noncompactness
Analyticity and exponential stability of semigroups for the elastic systems with structural damping
Non-Constant Positive Steady States for a Predator-Prey Cross-Diffusion Model with Beddington-DeAnge
A fourth-order method of the convection-diffusion equations with Neumann boundary conditions
捕食者-食饵-互惠交错扩散模型解的整体存在性
Effect of cross diffusion in a competition model with stage structure, ,
Global solutions for a general predator-prey model with cross-diffusion effects
Existence of positive periodic solutions for higher-order ordinary differential equations, 62 (2011)
Mixed monotone iterative technique for a class of semilinear impulsive evolution equations in Banach
Monotone iterative technique for fractional evolution equations in Banach spaces
Monotone iterative technique for impulsive fractional evolution equations
Existence and exponential stability of almost periodic solution for BAM neural networks with impulse
Existence of strong solutions for a class of semilinear evolution equations with nonlocal initial co
Existence and stability of global solutions for a cross-diffusion predator–prey model with sex
Spatial pattern formation in the Keller-Segel Model with a logistic source
Multi-bump bound states for a nonlinear Schrodinger system with electromagnetic fields
Periodic boundary value problems for semilinear fractional differential equations
On the existence of positive periodic solutions for second-order functional differential equations w
Global Behavior for a Strongly Coupled Predator-Prey Model with One Resource and Two Consumers
Global behavior of solutions in a Lotka-Volterra predator-prey model with prey-stage structure
Global stability of the virus dynamics model with intracellular delay and Crowley–Martin funct
Positive mild solutions of periodic boundary value problems for fractional evolution equations,
Perturbation method for nonlocal impulsive evolution equations
基于混合加速粒子群算法的捕食者-食饵模型参数估计
一类带一般功能反应的病原体捕食者-食饵模型中避难所的影响
具有Holling-Ⅲ型功能反应的捕食者-食饵扩散模型中避难所的影响
一类竞争型捕食者-食饵交错扩散模型的Turing不稳定性
广义线性微分方程边值问题解的存在唯一性
非线性密度制约的Holling Ⅲ型捕食者-食饵扩散模型的稳定性
滞后型泛函微分方程的φ-有界变差解
一类广义线性常微分方程边值问题解的存在性和唯一性
测度微分方程解的唯一性
一类比例依赖型捕食者-食饵扩散模型解的全局渐近性
Banach空间中广义常微分方程的Φ有界变差解
修正的Leslie-Gower捕食者-食饵扩散模型解的整体性态
一类害虫流行病控制模型非常数正平衡解的存在性
一类捕食者-食饵模型中扩散的作用
测度微分方程的解相对于初始条件的可微性
广义线性常微分方程线性边值问题
修正的Leslie—Gower捕食者-食饵扩散模型正平衡点的全局渐近稳定
一类三种群捕食者-食饵模型中交错扩散导致的Turing不稳定
脉冲滞后泛函微分方程的平均化
带比例功能反应函数食物链交错扩散模型的整体解
滞后型泛函微分方程的有界变差解
一阶线性脉冲微分方程初值问题的有界变差解
可测系数广义线性常微分方程的周期解
Banach空间中一类二阶三点边值问题的一种拟上下解方法
Banach空间中四阶两点边值问题的正解
一类捕食者-食饵模型解的全局渐近性态
含时滞导数项的二阶中立型泛函微分方程的正周期解
无限滞后测度泛函微分方程的平均化
期刊信息
  • 《西北师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:甘肃省教育厅
  • 主办单位:西北师范大学
  • 主编：俞诗源
  • 地址：兰州市安宁东路967号
  • 邮编：730070
  • 邮箱：sdxbz@nwnu.edu.cn
  • 电话：0931-7971692
  • 国际标准刊号：ISSN：1001-988X
  • 国内统一刊号：ISSN：62-1087/N
  • 邮发代号:54-53
  • 获奖情况:
  • 第二届全国优秀科技期刊三等奖,全国优秀高校自然科学学报及教育部优秀期刊二等奖,全国高等学校自然科学学报系统优秀学报一等奖
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,美国剑桥科学文摘,美国生物科学数据库,英国动物学记录,中国中国科技核心期刊,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）
  • 被引量:7823