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Global Stability of An Eco-epidemiological Model with Beddington-DeAngelis Functional Response and Delay被引量：1: 《Chinese Quarterly Journal of Mathematics》2019年第4期397-409,共13页BAI Hong-fang XU Rui; This work was supported by the National Natural Science Foundation of China(No.11371368)and(No.11871316)。; In this paper,an eco-epidemiological model with Beddington-DeAngelis functional response and a time delay representing the gestation period of the predator is studied.By means of Lyapunov functionals and Laselle’s i...; 关键词：Eco-epidemiological model DELAY Laselle’s invariance principle global stability

Analysis On an SEIRS Epidemic Model with Pulse Vaccination and Two Time Delays被引量：3: 《Chinese Quarterly Journal of Mathematics》2019年第1期75-87,共13页GAO Jian-zhong ZHANG Tai-lei; The Natural Science Basic Research Plan in Shaanxi Province of China(2018JM1011);Natural Science Basic Research Plan in Shaanxi Province of China(2017JQ1014);NSF of China(11701041); In this paper, an SEIRS epidemic model with pulse vaccination and two time delays is proposed. By using stroboscopic map and comparison principle, the disease-free periodic solution(DFPS for short) is obtained and the...; 关键词：impulsive vaccination time delay threshold values global stability PERMANENCE

Global Stability of A Stochastic Predator-prey Model with Stage-structure: 《Chinese Quarterly Journal of Mathematics》2017年第4期425-431,共7页BAI Hong-fang XU Rui; Supported by the National Natural Science Foundation of China(Nos.11371368);The Natural Science Foundation of HeBei(No.A2014506015); In this paper, a stochastic predator-prey model with stage structure for predatorand ratio-dependent functional response is concerned. Sufficient conditions for the globalasymptotic stability of positive equilibrium a...; 关键词：STOCHASTIC PREDATOR-PREY model STAGE-STRUCTURE global stability Ito's FORMULA

Global Analysis of an SEIR Epidemic Model with Nonlinear Incidence Rates: 《Chinese Quarterly Journal of Mathematics》2016年第3期237-247,共11页贾滢刘俊利; Supported by the National Natural Science Foundation of China(11101323);Supported by the Natural Science Basic Research Plan in Shaanxi Province of China(2014JQ1038);Supported by the Xi’an Polytechnic University Innovation Fund for Graduate Students(CX201608); In this paper,an SEIR model with nonlinear incidence rates are studied.The basic reproduction number R_0 characterizes the disease transmission dynamics: if R_0≤ 1,the disease-free equilibrium is globally asymptotica...; 关键词：SEIR model nonlinear incidence rate compound matrices global stability

Global Stability of a Predator-prey Model with Stage Structure被引量：1: 《Chinese Quarterly Journal of Mathematics》2015年第1期107-120,共14页王丽丽徐瑞; Supported by the NSFC(11371368);Supported by the Basic Courses Department of OEC Foundation(Jcky1302); A Holling type III predator-prey model with stage structure for prey is investi-gated. By analyzing the corresponding characteristic equations, the local stability of each of feasible equilibria of the system is discu...; 关键词：global stability stage structure predator-prey model PERMANENCE

Stability and Hopf Bifurcation of a Virus Infection Model with a Delayed CTL Immune Response被引量：1: 《Chinese Quarterly Journal of Mathematics》2014年第3期426-437,共12页LI Xiao-tong TIAN Xiao-hong XU Rui; Supported by the NNSF of China(11371368,11071254);Supported by the NSF of Hebei Province(A2014506015);Supported by the NSF for Young Scientists of Hebei Province(A2013506012); In this paper, a virus infection model with standard incidence rate and delayed CTL immune response is investigated. By analyzing corresponding characteristic equations,the local stability of each of feasible equilibr...; 关键词：virus infection CTL immune response time delay Hopf bifurcation LaSalle’s invariance principle global stability

Global Stability in a Model for CTL Response to HTLV-I Infection: 《Chinese Quarterly Journal of Mathematics》2013年第4期618-624,共7页SONG Qiang; Supported by the Scientic and Technological Project of Henan Province(122300410034,132300410344);Supported by the the Universities Young Teachers Program of Henan Province(2010GGJS-104); In this paper, a mathematical model for HTLV-I infection of CD4＋ T cells that incorporates the CD8＋ cytotoxic T-cell（CTL） response is studied. We establish two threshold parameters Ro and R1, the basic reproductio...; 关键词：CTL response HTLV-I infection global stability Lyapunov function

On the Qualitative Behavior of a Difference Equation: 《Chinese Quarterly Journal of Mathematics》2013年第1期93-98,共6页XIAO Qian SHI Qi-hong; Supported by the NSF for Colleges and Universities of Hebei Province(Z2011162,Z2011111); This paper is concerned with the following rational difference equation xn+1=axn-bxn-1+ex2n/(cXn+dxn-1), with the initial conditions x-1 , x0 ∈ (0, +∞) and a, b, c, d, e ∈ R+ . Locally asymptotically stability, glo...; 关键词：global stability ATTRACTIVELY BOUNDEDNESS numerical simulation

A Lotka-Volterra Type Predator-prey Model in a Two-patchy Environment: 《Chinese Quarterly Journal of Mathematics》2011年第4期475-487,共13页王丽丽徐瑞; Supported by the National Natural Science Foundation of China(10471066);Supported by the Ordnance Engineering College Foundation(YJJXM05013); In this paper, a Lotka-Volterra type predator-prey model with time delays due to gestation of the predator and dispersal for both the prey and the predator is investigated. We first establish two different results on ...; 关键词：DELAY dispersal periodic solution global stability

Analysis of a Prey-predator Fishery Model with Prey Reserve被引量：1: 《Chinese Quarterly Journal of Mathematics》2011年第2期290-295,共6页SUN Jun-fang GOU Xiao-kan; In this paper,we consider a prey-predator fishery model with prey dispersal in a two-patch environment,one is assumed to be a free fishing zone and the other is a reserved zone where fishing and other extractive activ...; 关键词：PREY-PREDATOR global stability optimal harvesting

GLOBAL_STABILITY