位置：成果数据库 > 期刊 > 期刊详情页
具有经济临界值的非光滑捕食与被捕食系统的全局稳定性分析(英文)
  • ISSN号：1001-9626
  • 期刊名称：生物数学学报
  • 时间：2012.9.15
  • 页码：413-423
  • 分类：Q145[生物学—生态学;生物学—普通生物学]
  • 作者机构：[1]陕西师范大学数学与信息科学学院,陕西西安710062
  • 相关基金：Supported by the National Natural Science Foundation of China（11171199）; by the Fundamental Research Funds for the Central Universities （GK201003001）
  • 相关项目：综合害虫治理与Bt作物抗性管理的数学模型研究
作者： 孔小丽|唐三一| Kong Xiaoli, Tang Sanyi|
关键词： 非光滑动力系统, 捕食-被捕食系统, 经济临界值, Lambert, W函数, 滑动模态, 李雅普诺夫函数, Non-smooth dynamical system, Predator-prey system, Economic threshold, Lambert W function, Sliding mode, Lyapunov function
中文摘要：

只要害虫种群数量在经济临界值水平之上就连续的实施综合控制策略,基于此本文提出了具有经济临界值的非光滑捕食与被捕食系统.我们给出了系统真平衡态、假平衡态和伪平衡态的存在性和稳定性,以及这些平衡态全局稳定或系统存在全局吸引子的条件,同时借助数值方法验证了所得结论.得到的主要结果说明通过采用临界控制策略能让害虫稳定在一个给定的临界值水平上,而达到害虫控制的目的.

英文摘要：

In present work we have developed a non-smooth prey-predator model with economic threshold,and assume that we only implement the integrated control measures once the density of pest population is larger than the economic threshold. The existence and stability of regular,virtual and pseudo-equilibria are investigated, and some sufficient conditions which guarantee the global stability or global attractor of those equilibria are provided.Further,numerical investigations on non-smooth predator-prey model are carried out to confirm our main results.The results obtained here indicate that we can maintain the density of pest population stabilize at a given threshold level through threshold policy control.

同期刊论文项目
综合害虫治理与Bt作物抗性管理的数学模型研究
期刊论文 73
同项目期刊论文
Global qualitative analysis of a non-smooth Gause predator-prey model with a refuge
Stability and Hopf Bifurcation Analysis for a Stage-Structured Predator-Prey Model with Discrete and
Adaptive Release of Natural Enemies in a Pest-Natural Enemy System with Pesticide Resistance
非线性脉冲状态依赖捕食被捕食模型的定性分析
经典SIR模型辨识和参数估计问题
具有季节性变参数和脉冲的捕食系统的动态行为
Piecewise HIV virus dynamic model with CD4(+) T cell count-guided therapy: I
Stability and Bifurcation Analysis for a Predator-Prey Model with Discrete and Distributed Delay
On impulsive pest control using integrated intervention strategies
Duality in Phase Space and Complex Dynamics of an Integrated Pest Management Network Model
Mediacoverage and hospital notifications: Correlation analysis and optimal media impactduration to m
Global stability and sliding bifurcations of a non-smooth Gause predator-prey system
Complex dynamics and switching transients in periodically forced Filippov prey-predator system
Birth-pulse models of Wolbachia-induced cytoplasmic incompatibility in mosquitoes for dengue virus c
Codimension-1 Sliding Bifurcations of a Filippov Pest Growth Model with Threshold Policy
Two Generalized Predator-Prey Models for Integrated Pest Management with Stage Structure and Disease
Filippov Ratio-Dependent Prey-Predator Model with Threshold Policy Control
Predicting the HIV/AIDS epidemic and measuring the effect of mobility in mainland China
Generalized Predator-Prey Model with Nonlinear Impulsive Control Strategy
Optimal Application Timing of Pest Control Tactics in Nonautonomous Pest Growth Model
A MATHEMATICAL MODEL WITH OPTIMAL CONTROLS FOR CELLULAR IMMUNOLOGY OF TUBERCULOSIS
Analytical methods for detecting pesticide switches with evolution of pesticide resistance
Global analysis of a Holling type II predator-prey model with a constant prey refuge
Existence of multiple sliding segments and bifurcation analysis of Filippov prey-predator model
Transmission potential of the novel avian influenza A(H7N9) infection in mainland China
The Effects of Resource Limitation on a Predator-Prey Model with Control Measures as Nonlinear Pulse
绿盲蝽乙酰胆碱酯酶最佳反应体系的建立
血管外给药的非线性房室模型解的逼近
Predator-prey population models of migrant insects with phase change
An integrated pest management model with delayed responses to pesticide applications and its thresho
GlobalBifurcation Analysis of a Population Model with Stage Structure andBeverton–Holt Saturation Fu
The selection pressures induced non-smooth infectious disease model and bifurcation analysis
Models for determining how many natural enemies to release inoculatively in combinations of biologic
Media impact switching surface during an infectious disease outbreak
Hollingtype II predator–prey model with nonlinear pulse as state-dependent feedback control
Models to assess how best to replace dengue virus vectors with Wolbachia-infected mosquito populatio
Holling II predator-prey impulsive semi-dynamic model with complex Poincare map
Qualitative Analysis of a Quadratic Integrate-and-Fire Neuron Model with State-Dependent Feedback Co
河南葡萄绿盲蝽越冬种群发生为害规律
温度和光照对中黑盲蝽滞育解除的影响
中黑盲蝽自然种群滞育的变化规律
Globaldynamics of a state-dependent feedback control system
河南省绿盲蝽对有机磷类杀虫剂的抗药性监测
Nonlinear Pulse Vaccination in an SIR Epidemic Model with Resource Limitation
Modelling pulsed immunotherapy of tumour-immune interaction
Discrete Switching Host-Parasitoid Models with Integrated Pest Control
具有分段常数变量的捕食-被捕食模型的分支分析
Model Selection and Evaluation Based on Emerging Infectious Disease Data Sets including A/H1N1 and E
Modelling the regulatory system for diabetes mellitus with a threshold window
带有多时滞疾病的捕食-被捕食系统的稳定性
具有r＋1类功能性反应函数的捕食者有病的食饵-捕食者SIS模型
带有分段常数变量的单种群模型的全局稳定性和振动性（英文）
具有阈值策略的非光滑阶段结构害虫增长模型的分析
绿盲蝽乙酰胆碱酯酶最佳反应体系的建立
绿盲蝽不同地理种群滞育率变化初探
带有疾病、分段常数变量的捕食-被捕食系统的稳定性和分支行为
带有分段常数变量的Lorenz系统的稳定性和分支
基于MATLAB的储药柜优化设计
半固体人工饲料饲养日本通草蛉幼虫对荻草谷网蚜捕食作用
中立型双时滞Logistic模型分支分析及人口预测
带有分段常数变量和避难所的天敌一害虫模型的稳定性和分支行为
具有阶段结构、时滞和接种的幼年染病单种群模型的稳定性
离散捕食系统的持久性和全局稳定性
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