检索结果-南通市图书馆

Stability analysis for delayed viral infection model with multitarget cells and general incidence rate

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

International Journal of Biomathematics 2016年第1期9卷 135-155页

作者： Jinliang Wang Xinxin Tian Xia Wang School of Mathematical Science Heilongjiang University Harbin 150080 P. R. China College of Mathematics and Information ScienceXinyang Normal University Xinyang 464000 P. R. China School of Mathematics and Information SciencesShaanxi Normal University Xi'an 710062 P. R. China

In this paper, the sharp threshold properties of a （2n ＋ 1）-dimensional delayed viral infection model are investigated. This model combines with n classes of uninfected tar- get cells, n classes of infected cells and nonlinear incidence rate h（x,v）. Two kinds of distributed time delays are incorporated into the model to describe the time needed for infection of uninfected target cells and virus replication. Under certain conditions, it is shown that the basic reproduction number is a threshold parameter for the existence of the equilibria, uniform persistence, as well as for global stability of the equilibria of the model.

关键词： Viral infection model multitarget cells nonlinear incidence rate global stabi-lity lyapunov functional.

Global attractivity of positive periodic solution for a predator-prey model with modified Leslie-Gower Holling-type II schemes and a deviating argument

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6期7卷 209-221页

作者： Kai Wang Yanling Zhu Department of Applied MathematicsAnhui University of Finance and Economics Bengbu 233030 P. R. China School of International Trade and EconomicsUniversity of International Business and Economics Beijing 100029 P. R. China

In this paper, by utilizing the comparison theorem and constructing a suitable lyapunov functional.the predator prey model with modified Leslie-Gower Holling-type II schemes and a deviating argument is studied. Some sufficient conditions are obtained for uniform persistence and global attraztivity of positive periodic solutions for this model. Furthermore, an example shows that the obtained criteria are easily verifiable.

关键词： Holling-type II schemes positive periodic solution uniform persistence lyapunov functional.

Global dynamics for a live-virus-blood model with distributed time delay

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 2017年第5期10卷 143-158页

作者： Ding-Yu Zou Shi-Fei Wang Xue-Zhi Li Department of Physics and Mathematics Changzhou University Changzhou 213016 P. R. China College of Mathematics and Physics Anyang Institute of Technology Anyang 455000 P. R. China

In this paper, the global properties of a mathematical modeling of hepatitis C virus （HCV） with distributed time delays is studied. lyapunov functional. are constructed to establish the global asymptotic stability of the uninfected and infected steady states. It is shown that if the basic reproduction number R0 is less than unity, then the uninfected steady state is globally asymptotically stable. If the basic reproduction number R0 is larger than unity, then the infected steady state is globally asymptotically stable.

关键词： Hepatitis C virus distributed time delays live-virus-blood system global asymptotic stability lyapunov functional.

An age-structured epidemic model with waning immunity and general nonlinear incidence rate

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 2018年第5期11卷 175-199页

作者： Xia Wang Ying Zhang Xinyu Song College of Mathematics and Statistics Xinyang Normal University Xinyang 464000 P. R. China

In this paper, a susceptible-vazcinated-exposed-infectious-recovered epidemic model with waning immunity and continuous age structures in vaccinated, exposed and infectious classes has been formulated. By using the Fluctuation lemma and the approach of lyapunov functional., we establish a threshold dynamics completely determined by the basic reproduction number. When the basic reproduction number is less than one, the disease-free steady state is globally asymptotically stable, and otherwise the endemic steady state is globally asymptotically stable.

关键词： Age-structure epidemic model nonlinear incidence rate basic reproduction number global stability lyapunov functional.

Passivity Analysis of Impulsive Complex Networks

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 Automation and computing 2011年第4期8卷 484-489页

作者： Jin-Liang Wang Huai-Ning Wu Zhi-Chun gang Science and Technology on Aircraft Control Laboratory School of Automation Science and Electrical Engineering Beihang University Beijing 100191 PRC College of Mathematics Science Chongqing Normal University Chongqing 400047 PRC

In this paper, we first investigate input passivity and output passivity for a class of impulsive complex networks with time-varying delays. By constructing suitable lyapunov functional., some input passivity and output passivity conditions are derived for the impulsive complex networks. Finally, an example is given to show the effectiveness of the proposed criteria.

关键词： Impulsive complex networks time-varying delays input passive output passive lyapunov functional.

Global stability of a delayed virus dynamics model with multi-staged infected progression and humoral immunity

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

International Journal of Biomathematics 2016年第4期9卷 193-218页

作者： A. M. Etaiw N. H. AlShamrani Department of Mathematics Faculty of Science King Abdulaziz University P. O. Box 80203 Jeddah 21589 Saudi Arabia

In this paper, we propose a nonlinear virus dynamics model that describes the interac- tions of the virus, uninfected target cells, multiple stages of infected cells and B cells and includes multiple discrete delays. We assume that the incidence rate of infection and removal rate of infected cells are given by general nonlinear functions. The model can be seen as a generalization of several humoral immunity viral infection model presented in the literature. We derive two threshold parameters and establish a set of conditions on the general functions which are sufficient to establish the existence and global stability of the three equilibria of the model. We study the globa! asymptotic stability of the equilibria by using lyapunov method. We perform some numerical simulations for the model with specific forms of the general functions and show that the numerical results are consistent with the theoretical results.

关键词： Virus dynamics intracellular delay global stability humoral immune res-ponse lyapunov functional.

VIRAL DYNAMICS IN A DISTRIBUTED TIME DELAYED HCV PATHOGENESIS MODEL

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 2012年第6期5卷 141-155页

作者： SHIFEI WANG DINGYU ZOU Department of Mathematics Xi ' an Jiao Tong UniversityXi'An 710049 P. R. China Department of Physics and Mathematics Changzhou University Chang'zhou 213016 P. R. China Department of Physics and MathematicsChangzhou University Chang ' zhou 213016 Department of Physics and MathematicsChangzhou University Chang ' zhou 213016 P. R. China

In this paper, we investigate global dynamics for a distributed time delayed HCV infec tion model. Our model admits two possible equilibria, an uninfected equilibrium and infected equilibrium depending on the basic reproduction number. By employing the method of lyapunov functional. we prove that the uninfected equilibrium is global asymptotically stable if the basic reproduction number is less than one, it is unsta ble and the infected equilibrium is global asymptotically stable if the basic reproduction number is larger than one. The simulations results are in good accordance with our analytic results.

关键词： Hepatitis C virus viral infection model a distributed time delay globalasymptotic stability lyapunov functional.

A note on an age-of-infection SVIR model with nonlinear incidence

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 2017年第5期10卷 69-87页

作者： Junyuan Yang Zhen Jin Lin Wang Fei Xu Complex Systems Research CenterShanxi University Taiyuan Shanxi 030051 P. R. China Department of Mathematics Shanxi University Taiyuan Shanxi 030051 P. R. China Department of Mathematics and Statistics University of New Brunswick Fredericton NB E3B 5A3 Canada Department of Mathematics Wilfrid Laurier University Waterloo ON N2L 3C5 Canada

In this paper, nonlinear incidence rate is incorporated into an age-of-infection SVIR epidemiological model. By the method of lyapunov functional., it is shown that the basic reproduction number R0 of the model is a t... 详细信息

关键词： Age-of-infection nonlinear incidence global stability persistence lyapunov functional.

Dynamical behaviors of a general humoral immunity viral infection model with distributed invasion and production

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 2017年第3期10卷 77-101页

作者： A. M. Etaiw N. H. AIShamrani K. Hattaf Department of Mathematics Faculty of Science King Abdulaziz University P. O. Box 80203 Jeddah 21589 Saudi Arabia Department of Mathematics and Computer Science Faculty of Sciences Ben M'sik Hassan H University P. O. Box 7955 Sidi Othman Casablanca Morocco Centre Regional des Meticrs de l'Education et de la Formation (CRMEF) 20340 Derb Ghalef Casablanca Morocco

A general nonlinear mathematical model for the viral infection with humoral immunity and two distributed delays is proposed and analyzed. Two bifurcation parameters, the basic reproduction number, R0 and the humoral immunity number, R1 are derived. We established a set of conditions on the general functions which are sufficient to determine the global dynamics of the model. Utilizing lyapunov functions and LaSalle＇s invariance principle, the global asymptotic stability of all equilibria of the model is obtained. An example is presented and some numerical simulations are conducted in order to illustrate the dynamical behavior.

关键词： Virus dynamics intracellular delay global stability humoral immune res- ponse lyapunov functional.