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作品数：309被引量：353H指数：9
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Bifurcations and Spatiotemporal Patterns in the Diffusive Nutrient-Microor ganism Model
《Acta Mathematicae Applicatae Sinica》2025年第1期162-178,共17页Ya-di WANG Hai-long YUAN Yan-ling LI 
supported by the Natural Science Foundation of China(No.11901370,11771262);by the Natural Science Basic Research Plan in Shannxi Province(2019JQ-516);by the Natural Science Foundation of Shaanxi Provincial Department of Education grant(19JK0142);by the Natural Science Foundation of China(2019M653578);by the Shaanxi Provincial Science and Technology Association Talents Promotion Project(20200508).
In this paper,the diffusive nutrient-microorganism model subject to Neumann boundary conditions is considered.The Hopf bifurcations and steady state bifurcations which bifurcate from the positive constant equilibrium ...
关键词：nutrient-microorganism model Hopf bifurcation steady state bifurcation simulations 
Global Dynamics of a Kawasaki Disease Vascular Endothelial Cell Injury Model with Backward Bifurcation and Hopf Bifurcation
《Acta Mathematicae Applicatae Sinica》2025年第1期200-233,共34页Ke GUO Wan-biao MA 
supported by the National Natural Science Foundation of China(12201038);the Project funded by China Postdoctoral Science Foundation(2022TQ0026);the Fundamental Research Funds for the Central Universities(FRF-TP-22-102A1);the Beijing Natural Science Foundation(1202019).
Kawasaki disease(KD)is an acute,febrile,systemic vasculitis that mainly affects children under five years of age.In this paper,we propose and study a class of 5-dimensional ordinary differential equation model describ...
关键词：Kawasaki disease model backward bifurcation Hopf bifurcation global stability PERMANENCE 
A Delayed HIV Infection Model with the Homeostatic Proliferation of CD4^(+)T Cells被引量：2
《Acta Mathematicae Applicatae Sinica》2022年第2期441-462,共22页Qiang-hui XU Ji-cai HUANG Yue-ping DONG Yasuhiro TAKEUCHI 
supported by the National Natural Science Foundation of China(Nos.11871235,11901225);the Natural Science Foundation of Hubei Province(2019CFB189);the Fundamental Research Funds for the Central Universities(Nos.CCNU19TS030,CCNU18XJ041);by the Japan Society for the Promotion of Science“Grand-in-Aid 20K03755”。
In this paper,we investigate a delayed HIV infection model that considers the homeostatic prolif-eration of CD4^(+)T cells.The existence and stability of uninfected equilibrium and infected equilibria(smaller and larg...
关键词：HIV infection and persistence T cell homeostatic proliferation delayed model dynamics analysis Hopf bifurcation 
Diffusion-induced Spatio-temporal Oscillations in an Epidemic Model with Two Delays
《Acta Mathematicae Applicatae Sinica》2022年第1期128-153,共26页Yan-fei DU Ben NIU Jun-jie WEI 
supported by National Natural Science Foundation of China(No.11901369,No.61872227,No.12071268 and No.11771109);Natural Science Basic Research Plan in Shaanxi Province of China(grant No.2020JQ-699);Shandong Provincial Natural Science Foundation(No.ZR2019QA020)。
We investigate a diffusive,stage-structured epidemic model with the maturation delay and freelymoving delay.Choosing delays and diffusive rates as bifurcation parameters,the only possible way to destabilize the endemi...
关键词：epidemic model stage structure delay DIFFUSION Hopf bifurcation spatio-temporal oscillation 
Patterned Solutions of a Homogenous Diffusive Predator-Prey System of Holling Type-Ⅲ被引量：1
《Acta Mathematicae Applicatae Sinica》2016年第4期1073-1086,共14页A-ying WAN Zhi-qiang SONG Li-fei ZHENG 
Supported by the National Natural Science Foundation of China(No.11461024);Program of Science and Technology at Universities of Inner Mongolia Autonomous Region(No.NJZZ14310);National Higher-education Institution General Research and Development Project(No.2014YB023)
In this paper, a diffusive predator-prey system of Holling type functional III is considered. For one hand, we considered the possibility of the occurrence of Turing patterns of the system. Our results show that there...
关键词：diffusive predator-prey system Hholling type functional response Hopf bifurcation turing insta-bility. 
Bifurcations and Chaos of a Discrete Mathematical Model for Respiratory Process in Bacterial Culture
《Acta Mathematicae Applicatae Sinica》2014年第4期871-886,共16页Xiang-ling FU Jin DENG 
Supported by the National Natural Science Foundation of China(10671063 and 10801135);the Scientific Research Foundation of Hunan Provincial Education Department(09C255)
The discrete mathematical model for the respiratory process in bacterial culture obtained by Euler method is investigated. The conditions of existence for flip bifurcation and Hopf bifurcation are derived by using cen...
关键词：MAP flip bifurcation Hopf bifurcation Marotto＇s chaos CHAOS 
Complex Dynamics in a Discrete-time Predator-prey System without Allee Effect
《Acta Mathematicae Applicatae Sinica》2013年第2期355-376,共22页Xian-wei CHEN Xiang-ling FU ZHU-JUN JING 
Supported by the National Natural Science Foundation of China (No. 11071066)
In this paper, complex dynamics of the discrete-time predator-prey system without Allee effect are investigated in detail. Conditions of the existence for flip bifurcation and Hopf bifurcation are derived by using cen...
关键词：predator-prey system flip bifurcation Hopf bifurcation Marotto＇s chaos transient chaos 
Dynamics in a Discrete-time Predator-prey System with Allee Effect被引量：4
《Acta Mathematicae Applicatae Sinica》2013年第1期143-164,共22页Xian-wei Chen Xiang-ling Fu Zhu-jun Jing 
Supported by the National Natural Science Foundation of China (No. 11071066)
In this paper, dynamics of the discrete-time predator-prey system with Allee effect are investigated in detail. Conditions of the existence for flip bifurcation and Hopf bifurcation are derived by using the center man...
关键词：Predator-prey System Allee effect flip bifurcation Hopf bifurcation Marotto＇s chaos transientchaos invariant circle periodic window 
Dynamical Behavior and Singularities of a Single-machine Infinite-bus Power System被引量：2
《Acta Mathematicae Applicatae Sinica》2004年第3期457-476,共20页Jin-liangWang Sheng-weiMei QiangLu TeoKok-lay 
Supported by the National Natural Science Fundation of China (No.50377018);a research grant from Research Office of the Hong Kong Polytechnic University(G.63.37.T494)
This paper uses the geometric singular perturbation theory to investigate dynamical behaviors and singularities in a fundamental power system presented in a single-machine infinite-bus formulation. The power system ca...
关键词：Singular perturbation saddle-node bifurcation Hopf bifurcation singularity induced bifurcation power system stability stability region 
Dynamical Behaviors in a Two-dimensional Map被引量：1
《Acta Mathematicae Applicatae Sinica》2003年第4期663-676,共14页YuChang Xu-dongLi 
Supported by Chinese Academy Sciences (KZCX2-SW-118).
We consider the dynamics of a two-dimensional map proposed by Maynard Smith as a population model. The existence of chaos in the sense of Marotto's theorem is first proved, and the bifurcations of periodic points are ...
关键词：Snap-back repellers CHAOS Hopf bifurcation strong (weak) resonance 
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