具有竞争的Leslie型捕食者-食饵模型的定性分析

考虑了具有竞争的Leslie型模型.证明了解的最终有界性,和系统在一定条件下的一致持续生存性.研究了平衡点的局部稳定性.通过构建适当的Lyapunov函数,获得了正平衡点全局渐进稳定的充分条件.

Abstract：

In this paper, a competitive Leslie model is proposed. It is proved that the system's solution is ultimately bounded and the system is consistent and sustained under appropriate conditions. The local stability of the equilibria is investigated. By constructing a suitable Lyapunov functional, sufficient conditions are derived for the global stability of the positive equilibrium of the model.     

一类具有非线性发生率的SIS传染病模型的定性分析

应用微分方程定性理论,研究了一类具有非线性发生率的SIS传染病模型.给出了该系统极限环的存在性、唯一性以及无病平衡点和地方病平衡点的全局渐近稳定性的充分条件.

Abstract：

An epidemiological model with nonlinear incidence is studied. By using the qualitative theory of ordinary differential equations, sufficient conditions are obtained for the existence and uniqueness of the limit cycles and the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium to the system.     

一类非线性三阶时滞系统的全局渐近稳定性分析

针对一类非线性三阶时滞系统构造出了一个合理的Lyapunov函数,去除了要求lyapunov函数趋于无穷大这个较强的条件约束,只要求系统正半轨线有界,所得的全局渐近稳定性的充分性结果改进了相关文献的结论.最后给出了例子及仿真说明充分条件的有效性.

Abstract：

In this paper,we construct a better Lyapunov function for the nonlinear third order delay system by onlysupposing that the positive half orbit of the system is bounded.The original strong condition is removed,which demands that the Lyapunov function must trend to infinity.The results have improved the conclusions of relevant literatures.At last,examples are given and simulation is made to show the effectiveness of the sufficient conditions.     

一类具有常数输入率的有差异的两子群间的SIRS模型

建立并分析了一类总人口变动的包含具有差异性两子群的单种群的SIRS传染病模型.当基本再生率R_0≤1时,系统仅存在无病平衡点,且它是全局渐近稳定的.当R_0 >1时,存在唯一的地方病平衡点,并且它存在即局部渐近稳定.通过Lyapunov函数法建立了地方病平衡点全局渐近稳定的充分条件.

Abstract：

An SIRS epidemiological model for a single species population with varying size and two discrepant sub-groups is formulated and analyzed.If the basic reproduction rate R_0≤ 1, only the disease-free equilibrium exists, which proves to be globally asymptotically stable.There exists a unique endemic equilibrium if R_0 > 1 and it is local-ly asymptotically stable whenever it exists.Sufficient conditions are obtained for global asymptotic stability of the endemic equilibrium via the method of Lyapunov functions.     

一类非线性系统的高增益输出反馈控制

对一类具有非稳定化的线性部分和未知扰动非线性系统进行高增益输出反馈控制设计.首先通过一个线性状态变换,将原系统变为一个线性部分可稳定化的新系统;其次,对观测器和控制器进行设计.控制器保证了闭环系统平衡态的全局渐进稳定.

Abstract：

A high-gain observer control design is considered for a class of nonlinear systems with unstabilizable linear part and unknown disturbances,By a linear state transformation,the original system is transformed into a system with stabilizable linear part.A controller accompanied by an observer is constructed.The controller guarantees the globally asymptotic stability of the origin of the closed-loop system.     

水生生态系统中有竞争和捕食效应的一类简单食物网模型的稳定性分析

提出了水生生态系统中有竞争和捕食的一类简单食物网模型.首先讨论了平衡点的存在条件,利用Hurwitz判据分析了局部渐近稳定性;通过构造Lyapunov函数得到了系统全局渐近稳定的条件,并具体解释了其生物含义.从以上讨论中得到了控制3类物种存活、灭绝或共存的4个阈值.生物分析表明,水草和鱼在控制富营养化问题中起着极其重要的作用.

Abstract：

In this paper, a simple food web model with competition and predation in aquatic ecosystems is proposed.The existence conditions of equilibria are discussed and the local asymptotic stability is analyzed.By means of Lya-punov functions, the global asymptotic stability of the model is obtained.Four thresholds, which indicate the coex-istence, survival or extinction of 3 species, are obtained from the above discussions.Bio-analysis shows that aquatic weeds and fish play an important role in the control of eutrophication.     

一个新非自治超混沌四维二次系统及其电路实现

在三维二次混沌系统的基础上增加一个含控制信号的状态变量,组成一个新的非自治超混沌四维二次系统.该系统的基本动力学特性的变化主要依赖于控制信号频率的改变.通过系统的Lyapunov指数谱、分岔图及数值仿真表明,在不同的频率参数下,该系统能够体现周期、拟周期、混沌、超混沌的动力学特性.最后设计了一个模拟电路,进一步验证了其特性.

Abstract：

Based on the three-dimensional quadratic chaos system, this paper constructs a new four-dimensional quadratic non-autonomous hyperchaos system by adding a state variable with the controlling signal.The change in the basic dynamics characters of this system is mainly realized by varying the frequency of the controlling signal. The different chaos dynamics characters of this system such as periodicity, quasi periodicity, chaos and hyperchaos at different frequencies is shown by Lyapunov spectrum , bifurcation diagram and numerical simulation. The results of the experiment are further shown to be consistent with the numerical simulation by designing an analog electronic circuit.     

修理设备可以更换的三部件串-并联可修系统的可靠性

研究了修理设备可以更换的三部件串-并联可修系统.通过适当的假设,利用全概率分解技术和更新过程理论以及拉普拉斯变换工具,得到了系统和修理设备的一些重要可靠性指标.

Abstract：

This paper considers a repairable system of three unit-series-parallel connection with a replaceable facility.Through appropriate assumptions and using the technology of total probability decomposition,Markov renewal process theory and the tool of the Laplace transform,some important reliability indicators of the system and repair facility are obtained.     

具有两种免疫来源的乙肝病毒模型的全局动力学

研究了免疫反应具有两种来源的乙肝病毒模型.通过对相应特征方程的分析,讨论了感染平衡态和未感染平衡态的局部稳定性,证明了基本再生数>1时疾病的持续性.通过几何方法的应用,得到了感染平衡点全局稳定性的充分条件.

Abstract：

In this paper,an HBV model with activated immune response of two sources is studied.By analyzing the corresponding characteristic equations,the local stability of an infected steady state and an uninfected steady state is discussed.It is proved that if the basic reproductive number is more than one,the disease is persistent.By applying a geometric method,sufficient conditions are obtained for the global stability of the endemic equilibrium.     

MULTI-FUNCTION VEHICLE NAVIGATION AND MONITORING SYSTEM IN URBAN AREAS

A vehicle navigation and monitoring system integrated by a high precision navigation system and a vehicle black box is studied to satisfy the demand for the intelligent transportation system (ITS). Firstly, the architecture of the system is proposed. Then the integration scheme of global positioning system/dead reckoning/bluetooth beacon/map matching (GPS/DR/BB/MM) with the hluetooth assistant positioning technology, and the algorithm of the Kalman filter for the integrated GPS/DR are investigated. Finally many field trials for principle prototypes are made. Experimental results show that the proposed integrated navigation algorithm is effective and feasible, and the function of the vehicle black-box is realized.