检索结果-南通市图书馆

International Journal of Biomathematics 2012年第3期5卷 283-295页

作者： LING CHEN wanbiao ma Department of Applied mathematics School of mathematics and Physics University of Science and Technology Beijing Beijing 100083 P. R. China Beijing Business management School Beijing 100097 P. R. China

In this paper, based on some biological meanings and a model which was proposed by Lefever and Garay （1978）, a nonlinear delay model describing the growth of tumor cells under immune surveillance against cancer is given. Then, boundedness of the solutions, local stability of the equilibria and Hopf bifurcation of the model are discussed in details. The existence of periodic solutions explains the restrictive interactions between immune surveillance and the growth of the tumor cells.

关键词： Immune surveillance differential equation time delay local asymptotic stability Hopf bifurcation.

Qualitative analysis of a chemostat model with inhibitory exponential substrate uptake and a time delay

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

International Journal of Biomathematics 2014年第4期7卷 185-200页

作者： Qinglai Dong wanbiao ma School of mathematics and Computer ScienceYanan University Yanan 716000 P. R. China School of mathematics and PhysicsUniversity of Science and Technology Beijing Beijing 100083 P. R. China

In this paper, we consider a simple chemostat model with inhibitory exponential sub- strate uptake and a time delay. A detailed qualitative analysis about existence and boundedness of its solutions and the local asymptotic stability of its equilibria are car- ried out. Using Lyapunov-LaSalle invariance principle, we show that the washout equi- librium is global asymptotic stability for any time delay. Using the fluctuation lemma, the sufficient condition of the global asymptotic stability of the positive equilibrium E＋ is obtained. Numerical simulations are also performed to illustrate the results.

关键词： Chemostat time delay stability Lyapunov LaSalle invariance principle.

Bifurcation analysis of modeling biodegradation of Microcystins

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

International Journal of Biomathematics 2019年第3期12卷 91-108页

作者： Keying Song wanbiao ma Zhichao Jiang School of mathematics and Physics University of Science and Technology Beijing Beijing 100083 P. R. China Beijing Key L aboratory for magneto-Photoelec trical Composite and Interface Science University of Science and Technology Beijing Beijing 100083 P. R. China Fundamental Science Department North China Institute of Aerospace Engineering Langfang 065000 P. R. China

In this paper, a model with time delay describing biodegradation of Microcystins (MCs) is investigated. Firstly, the stability of the positive equilibrium and the existence of Hopf bifurcations are obtained. Furthermore, an explicit algorithm for determining the direction and the stability of the bifurcating periodic solutions is derived by using the normal form theory and center manifold argument. Finally, some numerical simulations are carried out to illustrate the applications of the results.

关键词： Microcystins biodegradation stability Hopf bifurcation permanence

Dynamical analysis for the sustained harvesting of microorganisms using flocculants in a random environment

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Physics B 2023年第5期32卷 343-349页

作者：刘蓉马万彪 School of mathematics and Physics University of Science and Technology BeijingBeijing 100083China School of Science Chongqing University of Posts and TelecommunicationsChongqing 400065China

The use of flocculants to collect/extract microorganisms is of great practical significance for the development of the application of microorganisms. In this paper, a high-dimensional nonlinear stochastic differential equation model is constructed to describe the continuous culture of microorganisms with multiple nutrients and the flocculation process of microorganisms. The study of the dynamics of this model can provide feasible control strategies for the collection/extraction of microorganisms. The main theoretical results are sufficient conditions for the permanence and extinction of the stochastic differential equation model, which are also extensions of some results in the existing literatures. In addition, through numerical simulations, we vividly demonstrate the statistical characteristics of the stochastic differential equation model.

关键词： stochastic process stochastically ultimately bounded stochastic permanence noise-induced transitions

一类微生物絮凝模型平衡点的稳定性与Hopf分支

在线全文

学校读者我要写书评

暂无评论

系统科学与数学 2018年第9期38卷 1085-1100页

作者：张乾马万彪北京科技大学数理学院应用数学系

考虑了一类具有营养循环的微生物絮凝常微分方程动力学模型.该类动力学模型平衡点可呈现前向与后向分支.利用常微分方程相关理论,研究了其边界平衡点的全局稳定性,以及正平衡点的局部稳定性析与Hopf分支存在性.同时,计算机数值模拟结果... 详细信息

考虑了一类具有营养循环的微生物絮凝常微分方程动力学模型.该类动力学模型平衡点可呈现前向与后向分支.利用常微分方程相关理论,研究了其边界平衡点的全局稳定性,以及正平衡点的局部稳定性析与Hopf分支存在性.同时,计算机数值模拟结果显示了与理论结果的一致性,并进一步揭示了该类动力系统可能呈现的复杂的振荡性质.

关键词：微生物絮凝营养循环前向与后向分支 Hopf分支

THE STABILITY OF A CLASS OF LARGE SCALE SYSTEM

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1987年第2期32卷 136-137页

作者：马万彪 Nei Mongol Normal University Hohhot

We consider the large scale system: where is continuous and differential with

关键词： CLASS 切一一性

具有Crowley-martin型功能反应函数恒化器系统的渐近性态

在线全文

学校读者我要写书评

暂无评论

系统科学与数学 2013年第8期33卷 922-929页

作者：董庆来马万彪延安大学数学与计算机科学学院延安716000 北京科技大学数理学院应用数学系北京100083

研究了一类具有Crowley-martin型功能反应函数的竞争恒化器系统.详细分析了系统平衡点的存在性及局部渐近稳定性,得到了平衡点E_0,E_(10),E_(20)和E^+全局渐近稳定的充分条件.结果表明种内竞争可能是引起竞争种群共存的原因.

关键词： Crowley-martin型功能反应函数恒化器 Lyapunov-LaSalle不变性原理 Poincare-Bendixson定理稳定性

在线全文

学校读者我要写书评

暂无评论

官能化溶聚丁苯橡胶的研究与进展

石油化工 2020年第12期49卷 1246-1250页

作者：马万彪梁爱民王雪中国石化北京化工研究院北京100013 中国石化北京化工研究院燕山分院橡塑新型材料合成国家工程研究中心北京102500

综述了溶聚丁苯橡胶(SSBR)的合成方法,包括封端法合成链端官能化SSBR、官能化引发剂合成链端官能化SSBR、偶联改性法合成链端官能化SSBR,介绍了官能化SSBR的研究进展以及官能化技术在橡胶轮胎应用中的重要性。将偶联技术和官能化技术结... 详细信息

综述了溶聚丁苯橡胶(SSBR)的合成方法,包括封端法合成链端官能化SSBR、官能化引发剂合成链端官能化SSBR、偶联改性法合成链端官能化SSBR,介绍了官能化SSBR的研究进展以及官能化技术在橡胶轮胎应用中的重要性。将偶联技术和官能化技术结合在一起制备出双端官能化的星型溶聚丁苯橡胶是丁苯橡胶未来发展的一个重要方向。

关键词：官能化封端剂官能化引发剂官能化偶联剂