位置：成果数据库 > 期刊 > 期刊详情页
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
  • ISSN号：1001-9626
  • 期刊名称：《生物数学学报》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：陇东学院数学与统计学院, 西北师范大学数学与统计学院
  • 相关基金：国家自然科学基金(11061031)
作者： 陈安宁, 孙亮亮, 伏升茂
关键词： 捕食者-食饵模型, 食饵避难率, 反应扩散, 交错扩散, Turing不稳定
中文摘要：

本文讨论一类SIP型捕食者-食饵-病原体扩散模型,其中捕食者带有一般的功能反应函数.我们主要研究该模型中避难所与扩散的作用.首先通过线性化方法和Lypunov方法分别讨论非负常数平衡解的局部和全局渐近稳定性,然后给出交错扩散导致Turing不稳定的一个充分条件,最后,作为一个应用,我们研究一类带HollingⅡ型功能反应项的捕食者-食饵模型.

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
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
含两类食饵和一类捕食者种群的扩散模型的稳定性
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
  • 《生物数学学报》
  • 北大核心期刊（2008版）
  • 主管单位:中国数学会
  • 主办单位:中国数学会生物数学学会
  • 主编：陈兰荪
  • 地址：辽宁省鞍山师范学院158号
  • 邮编：114007
  • 邮箱：smbjbm@tom.com
  • 电话：0412-2960893
  • 国际标准刊号：ISSN：1001-9626
  • 国内统一刊号：ISSN：34-1071/O1
  • 邮发代号:
  • 获奖情况:
  • 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,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）
  • 被引量:5686