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具有环境容纳量和成熟双时滞的有毒食饵-捕食者收获模型被引量：1: 《Chinese Quarterly Journal of Mathematics》2023年第4期331-348,共18页钟颖韦煜明; Supported by National Natural Science Foundation of China(Grant No.11961074).; In this paper,a model of predator-prey with dual delay in maturation and carrying capacity is discussed,in which the past activity of the prey should have an impact on the carrying capacity,the mature prey initiates d...; 关键词：PREDATOR-PREY Time delay Hopf bifurcation HARVESTING TOXICANT

一类具有时滞的生态流行病模型的稳定性与Hopf分支: 《Chinese Quarterly Journal of Mathematics》2023年第2期157-183,共27页白宏芳; In this paper,an eco-epidemiological model with time delay is studied.The local stability of the four equilibria,the existence of stability switches about the predationfree equilibrium and the coexistence equilibrium ...; 关键词：Eco-epidemiological model DELAY STABILITY Hopf bifurcation

Bifurcation Analysis of a Discrete Logistic System with Feedback Control: 《Chinese Quarterly Journal of Mathematics》2015年第1期66-78,共13页伍代勇; Supported by the Scientific Research Programmes of Colleges in Anhui(KJ2013Z186); The paper studies the dynamical behaviors of a discrete Logistic system with feedback control. The system undergoes Flip bifurcation and Hopf bifurcation by using the center manifold theorem and the bifurcation theory...; 关键词：feedback control Logistic system DISCRETE Flip bifurcation Hopf bifurcation

Hopf Bifurcation and Stability Analysis for a Predator-prey Model with Time-delay被引量：1: 《Chinese Quarterly Journal of Mathematics》2015年第1期93-106,共14页陈红兵; Supported by the the NSF of Gansu Province(096RJZE106); In this paper, a predator-prey model of three species is investigated, the necessary and sucient of the stable equilibrium point for this model is studied. Further, by introduc-ing a delay as a bifurcation parameter, ...; 关键词：Hopf bifurcation stability time delay predator-prey system periodic solution

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

Anti-control of Hopf Bifurcation in a Delayed Predator-prey Gompertz Model: 《Chinese Quarterly Journal of Mathematics》2013年第4期475-484,共10页XU Chang-jin CHEN Da-xue; Foundation item： Supported by the National Natural Science Foundation of China（l1261010）; Supported by the Soft Science and Technology Program of Guizhou Province（2011LKC2030）; Suppored by the Natural Science and Technology Foundation of Guizhou Province（J[2012]2100）; Suppored by the Governor Foundation of Guizhou Province（[2012]53）; Suppored by the Doctoral Foundation of Guizhou University of Finance and Economics（2010）; Suppored by the Science and Technology Program of Hunan Province（2010FJ6021）; A delayed predator-prey Gompertz model is investigated. The stability is analyzed. Anti-control of Hopf bifurcation for the model is presented. Numerical simulations are performed to confirm that the new feedback cont...; 关键词：predator-prey model stability Hopf bifurcation delay anti-control

Oscillatory Gene Expression by the microRAN Mediating Delayed Negative Feedback Loop: 《Chinese Quarterly Journal of Mathematics》2013年第2期303-310,共8页ZHANG Feng-pan LU Jin-rui LIU Zhi-guang; Supported by the National .Natural Science Foundation of China（Ill05040）; Supported by the Natural Science Foundation of Henan University（2010YBZ010）; More and more experiments show that microRNAs can regulate gene expression by stimulating degradation of mRNA or repression of translation of mRNA. In this paper, we incorporate the microRNA into a previous mathematic...; 关键词：gene regulatory network microRNA time delay Hopf bifurcation OSCILLATION

Bifurcation and Limit Cycle of a Ratio-dependent Predator-prey, System with Refuge on Prey: 《Chinese Quarterly Journal of Mathematics》2013年第2期234-240,共7页LIU Yan-wei LIU Xia; Supported by the NNSF of China(11126284);Supported by the NSF of Department of Education of Henan Province(12A110012);Supported by the Young Scientific Research Foundation of Henan Normal University(1001); Influences of prey refuge on the dynamics of a predator-prey model with ratio-dependent functional response are investigated. The local and global stability of positive equilibrium of the system are considered. Theore...; 关键词：RATIO-DEPENDENT Hopf bifurcation prey refuge limit cycle

Analysis of a Dynamic Model of Host-parasite Interaction with Delay and Treatment被引量：3: 《Chinese Quarterly Journal of Mathematics》2013年第1期118-128,共11页ZHO Yu; Foundation item： Supported by the Natural Science Foundation of Ningxia Province（NZ10228）; Supported by the Research is Funded by Ningxia Teacher＇s College Innovation Team Project（ZY201210）; In this paper, the dynamic behaviors of a host-parasite model with intracellular delay and drug treatment is investigated. we obtain the basic reproductive ratio R0 , which determined the behaviors of the system. If R...; 关键词：stability drug treatment DELAY Hopf bifurcation periodic solution

Stability and Bifurcation Analysis of Man-machine System with Time Delay被引量：3: 《Chinese Quarterly Journal of Mathematics》2012年第2期196-203,共8页YANG Ji-hua LIU Mei; Foundation item： Supported bY the Natural Science Foundation of Ningxia（NZ09204）; Supported by the Youth Foundation of Ningxia Teacher＇s Universlty（QN2010002）; A mathematical model of man-machine system is considered.Based on the reference [4],the direction and stability of the Hopf bifurcation are determined using the normal form method and the center manifold theory.Furthe...; 关键词：man-machine system STABILITY Hopf bifurcation Hopf-zero bifurcation

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