PERSISTENCE IN A THREE SPECIES LOTKA-VOLTERRA PERIODIC PREDATOR-PREY SYSTEM

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GLOBAL ATTRACTIVITY IN A PERIODIC DELAY SINGLE SPECIES MODEL

1.IntroductionGopalsamyandLadajs[1]illtroducedthefollowingdelayLotka-Volterratypesinglespeciespopulationgrowthmodel:wherea,b,ctTarerealconstants,anda>0,c>0,T20.Ifa>0,b<0andc=0,then(1.1)reducestotheLogisticequation.Ifb>0,(l.1)exhibitstheso--calledAlic...     

THE PERIODIC HOLLING Ⅱ PREDATOR-PREY MODEL WITH IMPULSIVE EFFECT

In this paper, a periodic Holling II predator-prey model with impulsive effect is investigated. By applying the Floquet theory of linear periodic impulsive equation, some sufficient conditions are obtained for the linear stability and instability of trivial and semi-trivial periodic solutions. Moreover, we use standard bifurcation theory to show the existence of coexistence states which arise near the semi-trivial periodic solution. As an application, we also examine some special case of the system to confirm our main results.     

分布交互式作战仿真系统开发策略和步骤初探

近年来，分布交互作战仿真技术作为一项高新技术和战略技术受到美英等各大国政府和军界的高度重视和广泛应用。我国从１９９０ 年开始这方面的理论和体系结构研究工作，至今已取得了阶段性成果。在分析国内外ＤＩＷＳ技术发展的基础上，结合我国国情，提出了我军ＤＩＷＳ系统的开发策略并给出了详细开发步骤。最后对开发过程中的关键技术问题进行了探讨。     

Singularly perturbed bifurcation subsystem and its application in power systems

The singularly perturbed bifurcation subsystem is described, and the test conditions of subsystem persistence are deduced. By use of fast and slow reduced subsystem model, the result does not require performing nonlinear transformation. Moreover, it is shown and proved that the persistence of the periodic orbits for Hopf bifurcation in the reduced model through center manifold. Van der Pol oscillator circuit is given to illustrate the persistence of bifurcation subsystems with the full dynamic system.     

ALMOST PERIODIC SOLUTION FOR A CLASS OF LOTKA-VOLTERRA TYPE N-SPECIES ECOLOGICAL SYSTEMS WITH TIME DELAY

The uniform permanence and global asymptotic stability of a class of almost periodic Lotka-Volterra type N-species competitive systems with diffusion and delays are investigated. It is shown that the system is uniformly persistent under some appropriate conditions, and new sufficient conditions are obtained for the global asymptotic stability of the unique positive almost periodic solution of the system.     

Singularly perturbed bifurcation subsystem and its application in power systems

The singularly perturbed bifurcation subsystem is described,and the test conditions of subsystem persistence are deduced.By use of fast and slow reduced subsystem model,the result does not require performing nonlinear transformation.Moreover,it is shown and proved that the persistence of the periodic orbits for Hopf bifurcation in the reduced model through center manifold.Van der Pol oscillator circuit is given to illustrate the persistence of bifurcation subsystems with the full dynamic system.     

定期保障策略下远航舰艇备件瞬时短缺数评估模型

定期保障条件下远航舰艇备件保障方案规划是海军装备保障工作的重大课题,目前尚未出现有效的解决方法。分析了远航舰艇定期备件保障系统和保障流程,提出了备件瞬时短缺数的定义和数学模型,根据远航舰艇定期保障中自我保障阶段、定期初始保障阶段和定期循环保障阶段的特点,建立了远海舰艇备件定期保障备件瞬时短缺数概率分布模型。最后,通过实例分析,输出结果表明模型能够反映远航舰艇定期保障备件瞬时短缺数的变化规律,可为装备保障指挥人员备件方案决策提供支持。     

UNIFORM PERSISTENCE IN DISCRETE SEMIDYNAMICAL SYSTEM AND ITS APPLICATION

ＵＮＩＦＯＲＭＰＥＲＳＩＳＴＥＮＣＥＩＮＤＩＳＣＲＥＴＥＳＥＭＩＤＹＮＡＭＩＣＡＬＳＹＳＴＥＭＡＮＤＩＴＳＡＰＰＬＩＣＡＴＩＯＮ￥ＷＡＮＧＷｅｎｄｉ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｏｕｔｈｗｅｓｔＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，...     

线性时变周期系统的能控性与能稳定性问题

线性时变周期系统是一类普遍存在的重要而又研究较少的系统。介绍了线性时变周期系统的几种应用实例,给出了两种判定时变周期系统能控性与能观性的必要条件,该判别条件的优点是不必计算系统的状态转移矩阵,使判别时变周期系统能控性与能观性简单、高效、易于实现。讨论了时变周期系统在状态反馈下的能稳定性问题,得到了类似于线性定常系统能控性与能稳定性关系的时变周期系统相应结论。说明了结论是线性定常系统相应结论的自然拓展。给出了数值算例的MATLAB仿真求解过程。仿真结果验证了结论的有效性。     

Existence of Positive Periodic Solutions for the SIV Epidemic Model with Impulsive Vaccination and Infection-Age

In this paper, we discuss the SIV epidemic model with impulsive vaccination and infection-age. Bifurcation theory and Lyapunov-Schmidt series expansion are used to show the existence of the positive periodic solutions under some conditions.     

三车道元胞自动机交通流模型研究

在Nagel-Schrekenberg（NS）元胞自动机交通流模型的基础上，提出了一种高速公路三车道元胞自动机交通流模型．该模型中所有的车辆均遵循相同的演化规则，并允许车辆以一定概率换道．根据计算机数值模拟．研究了车辆减速概率、换道概率对车流量、车道利用率影响关系，结果表明，在相同情况下，此模型所得到的基本图显示出交通流量比单车道NS模型大，并且发现减少不必要的车辆换道行为可以使驾驶更安全．这些研究为管理三车道的道路系统提供了一定的参考依据．     

用迭加法分析非线性网络的稳定性Z

非线性网络N建立周期振荡的充分必要条件是存在一个满足功率平衡P=0,Q=0的等效模型,这个模型是无限多个线性微变模型N     

集群企业协同创新的智猪博弈恶化及治理

智猪博弈均衡是低成本集群中企业之间协同创新博弈的常见结果。本文运用博弈论的基本原理，构建了集群企业协作创新智猪博弈模型，通过对博弈模型的分析，提出了智猪博弈均衡存在的条件及恶化的可能，在此基础上提出了八种预防智猪博弈恶化以及促进合作均衡实现的策略设计。     

THE ALGEBRAIC CRITERIA FOR THE ASYMPTOTIC BEHAVIOR OF COOPERATIVE SYSTEMS WITH CONCAVE NONLINEARITIES

For the discrete dynamical system on the nonnegative orthant generated bya cooperative and concave map T, we present an algebraic criterion of its asymptoticbehavior. The global behavior of such a system is completely determined by the sign of allprincipal minors of the matrix I-DT(0). This criterion applies to the cooperative systemwhich is concave, time-dependent and periodic in t. We give the sufficient conditions thatthe zero solution of such a system is globally asymptotically stable and that it possesses anonzero periodic solution which attracts all initial conditions in the nonnegative orthant.except at the origin. The results of Smith under weaker conditions and some applicationsare included.     

QUALITATIVE ANALYSIS FOR A THIRD-ORDER DIFFERENTIAL EQUATION IN A MODEL OF CHEMICAL SYSTEMS

In this paper a mathematical model of chemical systems is investigated.We present the conditions for the existence and local stability of the steady statesand the periodic solution of the Hopf type.Specifically,we show by using an ana-lytical method that there may exist two or four Hopf bifurcation points separatedat a finite distance from each other;at the same time,a technique for studying theHopf bifurcation value is given.     

A STAGE-STRUCTURED SI ECO-EPIDEMIOLOGICAL MODEL WITH TIME DELAY AND IMPULSIVE CONTROLLING*

This paper formulates a robust stage-structured SI eco-epidemiological model with periodic constant pulse releasing of infectious pests with pathogens. The authors show that the conditions for global attractivity of the ＇pest-eradication＇ periodic solution and permanence of the system depend on time delay, hence, the authors call it ＂profitless＂. Further, the authors present a pest management strategy in which the pest population is kept under the economic threshold level （ETL） when the pest population is uniformly persistent. By numerical analysis, the authors also show that constant maturation time delay for the susceptible pests and pulse releasing of the infectious pests can bring obvious effects on the dynamics of system.     

基于DLENN模型的沈阳地区PM2.5浓度预测

受到重工业发展规模、北温带季风气候、秋冬季燃煤取暖、机动车拥堵状况以及微观气象条件等各种因素影响,沈阳地区PM2.5浓度变化具有趋势性、周期性及随机性特征.针对上述三种特征,论文构建了一种集成双向长短期记忆网络的神经网络预测模型DLENN(Double-LSTM Ensemble Neural Network),内含的...     

Existence and Stability for Periodic Solution of Competition Reaction－Diffusion Models with Grazing Rates in Population Dynamics

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PERIODIC SOLUTIONS AND GLOBAL ASYMPTOTIC STABILITY OF A DELAYED DISCRETE PREDATOR-PREY SYSTEM WITH HOLLING II TYPE FUNCTIONAL RESPONSE

In this paper, we study the existence and global asymptotic stability of positive periodic solutions of a delayed periodic predator-prey system with Hoffing Ⅱ type functional response. By use of the continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions are obtained.