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The Application of Markov Skeleton Process on the Population Forecast

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The Application of Markov Skeleton Process on the Population...

GLOBAL STABILITY IN A VIRAL INFECTION MODEL

2011 3rd IEEE International Conference on Information Management and Engineering(ICIME 2011)

作者： Hehua Fan Yongwei Zhou department of math and Physics Zhengzhou Institute of Aeronautical Industry Management Zhengzhou China

This paper is devoted to studying the model of population forecast by using the theory of Markov skeleton process by Zhengting Hou etc,and draw the conclusion that the number of population at any time in the future is a minimum nonnegative solution of a nonnegative linear equation,so we can forecast the number of population in an area at any time in the future,Prediction examples show the effectiveness of the population forecast method.

关键词： Model of population forecast Markov process Markov skeleton process

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Annals of Differential Equations 2005年第3期21卷 427-430页

作者： Wang Kaifa Wang Wendi Liu Xianning College of Medicine Third Military Medical- University Chongqing 400038 department of math. Southwest China Normal University Chongqing 400715

This paper investigates the global stability of a viral infection model with lytic immune response. If the basic reproductive ratio of the virus is less than or equal to one, by the LaSalle＇s invariance principle, the disease-free steady state is globally asymptotically stable. If the basic reproductive ratio of the virus is greater than one but less than or equal to a constant, which is defined by the parameters of the model, then the immune-exhausted steady state is globally asymptotically stable. The endemic steady state is globally asymptotically stable if the inverse is valid.

关键词： virus dynamics lytic immune response global stability

BLOW-UP OF THE SOLUTION FOR A KIND OF HIGHER ORDER HYPERBOLIC EVOLUTION SYSTEMS

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Annals of Differential Equations 2006年第3期22卷 253-255页

作者： Chen Ning Chen Jiqian (Dept. of math, and Physics, Southwest university of Sci. and Tech., Mianyang 621010)

In this paper, we give some results on the blow-up behaviors of the solution to the mixed problem for some higher nonlinear hyperbolic evolution equation in finite time. By introducing the 'blow-up factor K(u,ut)' we ... 详细信息

关键词： nonlinear hyperbolic equation blow-up

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有限重数联合特征值的稳定性

工程数学学报 1987年第3期 13-16页

作者：柴俊华东师范大学

本文主要讨论联合特征值在解析摄动下的稳定性,将文献[3]中一些定理推广到交换算子组的情形。

关键词：特征值个数本征值代数重数点谱谱(数学)

MIXED MONOTONE ITERATIVE TECHNIQUES FOR SEMILINEAR EVOLUTION EQUATIONS IN BANACH SPACES

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Annals of Differential Equations 2004年第3期20卷 283-301页

作者：王良龙王志成 Dept of Math.University of Science and Technology of ChinaHefei 230026 Dept.of Appl.math. Hunan UniversityChangsha 410082his paper is concerned with initial value problems for semilinear evolution equations in Banach spaces. The abstract iterative schemes are constructed by combining the theory of semigroups of linear operators and the method of mixed monotone iterations. Some existence results on minimal and maximal (quasi)solutions are established for abstract semilinear evolution equations with mixed monotone or mixed quasimonotone nonlinear terms. To illustrate the main results applications to ordinary differential equations and partial differential equations are also given.

This paper is concerned with initial value problems for semilinear evolution equations in Banach spaces. The abstract iterative schemes are constructed by combining the theory of semigroups of linear operators and the method of mixed monotone iterations. Some existence results on minimal and maximal (quasi)solutions are established for abstract semilinear evolution equations with mixed monotone or mixed quasimonotone nonlinear terms. To illustrate the main results, applications to ordinary differential equations and partial differential equations are also given.

关键词： normal or regular cone positive Co-semigroup mixed monotone technique mixed monotonicity semilinear evolution equations coupled lower and upper quasi-solutions

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随机一般多孔介质与快速扩散方程(英文)

山东大学学报（理学版） 2009年第10期44卷 1-13页

作者：王凤雨北京师范大学数学科学学院数学与系统科学实验室北京100875

基于作者和合作者的有关工作,本文介绍关于随机一般多孔介质与快速扩散方程研究的若干新进展。我们从确定性的方程出发,引入相应随机方程的一般框架,再分别介绍解的存在唯一性、Harnack不等式与应用、解的正则性和大偏差原理等。

关键词：随机多孔介质方程随机快速扩散方程 Harnack不等式大偏差遍历

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关于丢番图方程x^2+b^y=c^z

四川大学学报（自然科学版） 1998年第1期35卷 5-7页

作者：袁平之长沙铁道学院数学系

设ｓ，ｔ为满足（ｓ，ｔ）＝１，ｓ＞ｔ的正整数，ａ＝２ｓｔ，ｂ＝ｓ２－ｔ２，ｃ＝ｓ２＋ｔ２．证明了：若ｃ为素数幂且ｂ≡±５（ｍｏｄ８），则不定方程ｘ２＋ｂｙ＝ｃｚ仅有一组正整数解（ｘ，ｙ，ｚ）＝（ａ，２，２）．

关键词：正整数解二次方程 Jacobi符号丢番图方程

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基于一类分类的时间序列异常值检测

计算机工程与应用 2003年第34期39卷 11-13页

作者：孙德山吴今培肖健华辽宁师范大学数学系大连116029 五邑大学智能技术与系统研究所江门529020

论文结合相空间重构理论与一类分类方法提出一种时间序列中的异常值检测方法。该方法首先将时间序列映射到相空间,然后对相空间中的点实行一类分类,最后,根据KKT条件进行异常值检测。仿真实验结果表明了所给方法的可行性和有效性。

关键词：异常值一类分类时间序列相空间

OSCILLATORY BEHAVIOR OF SECOND NEUTRAL DELAY DIFFERENCE EQUATIONS WITH DAMPING TERM

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Annals of Differential Equations 2010年第2期26卷 195-199页

作者： Wei Lu (Dept. of math. and Computational Science, Suzhou university, Suzhou 234000, Anhui) Zongfu Zhou, Wei Jiang (School of math.matics and Computational Science, Anhui university, Hefei 230039)

We investigate the oscillatory behavior of solutions to second order nonlinear delay difference equations. The results obtained extend some known results given in the previous literatures.

关键词： damping term unstability difference equations oscillatory behavior