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| 1 | Asymptotic Behavior of Solutions for a Class of Retarded Difference Equations | Huang Lihong Yu Jianshe Dai Binxiang Department of Applied Mathematics, Hunan University, Changsha 410082, China | 1998 | Acta Mathematica Sinica,English Series1998，14，3： | 4 |
| 2 | The quantization of river network morphology based on the Tokunaga network显示文摘River network morphology not only reflects the structure of river stream but also has great effects on hydrological process, soil erosion, river evolution, and watershed topography. Here we propose and define a new sequence of self-similar networks and corresponding parameters for the generated Tokunaga network. We also discuss the topological and numerical characteristics of self-similar networks with different iteration rules by utilizing links and fractal dimension. Application results indicate that the proposed method could be used to generate river network, which is much consistent with natural river network. The proposed parameter λ could well reflect the river network morphology. | Li Zhang BinXiang Dai GuangQian Wang TieJian Li Hao Wang | 2009 | Science China Earth Sciences2009，52，11： | 2 |
| 3 | Three periodic solutions of nonlinear neutral functional differential equa- tions显示文摘 | Qi Wang Binxiang Dai | 2008 | Nonlinear Anal2008，，9： | 1 |
| 4 | Almost periodic solution for n-species Lotka-Volterra compertitive system with delay and feedback controls显示文摘 | Wang Qi Dai Binxiang | 2008 | Appl Math Comput2008，200，1： | 1 |
| 5 | Multiple periodic solutions of an impulsive predator-prey model with Holling-type TV functional response显示文摘 | Wang Qi Dai Binxiang Chen Yuming | | 0，，： | 1 |
| 6 | Periodic Solutions for A Class of Higher-dimension Functional Differential Equations with Impulses显示文摘 | Dai Binxiang Qian Xiangzheng | 2002 | Nonlinear Analysis2002，68，： | 1 |
| 7 | Three periodic solutions of nonlinear neutral functional differential equations显示文摘 | WANG QI DAI BINXIANG | 2008 | Nonlinear Anal2008，，9： | 1 |
| 8 | Global existence of periodic solutions cf BAM neural networks with variable coefficients 显示文摘 | Guo Shangjiang Huang Lihong Dai Binxiang | 2003 | Phys Lett A2003，317，12： | 1 |
| 9 | PeriodicSolutions of A Discrete Time Stage-StructureModel显示文摘 | Zhang na Dai binxiang Qian xiangzheng | 2007 | Nonlinear Analysis2007，8，1： | 1 |
| 10 | Infinitely many solutions fora class of nonlinear impulsive differential equationswith periodic boundary conditions显示文摘 | Zhang Dan Dai Binxiang | 2011 | Comput MathAppl2011，61，10： | 1 |
| 11 | The dynamics of an impulsive delay predator-prey model with stage structure and Beddington-type functional response显示文摘 | Shao Yuanfu Dai Binxiang | 2010 | Nonlinear Analysis:Real world Applications2010，11，5： | 1 |
| 12 | Multiple periodic solutions of an impulsive predator–prey model with Holling-type IV functional response显示文摘 | Qi Wang Binxiang Dai Yuming Chen | 2008 | Mathematical and Computer Modelling2008，，9： | 1 |
| 13 | Three Periodic Solutions of Nonlinear Neutral Functional Differential Equations显示文摘 | Qi Wang Binxiang Dai | 2008 | Nonlinear Anal2008，，9： | 1 |
| 14 | Dynamic Complexities of a Predator-prey Model with Generalized Holling Type III Functional Response and Impulsive Effects显示文摘 | SU Hua DAI Binxiang CHEN Yuming | 2008 | Computers and Mathematics with Applications2008，56，： | 1 |
| 15 | Periodic solutions for a class of higher-dimension functional differential equations with impulses显示文摘 | Na Zhang Binxiang Dai Xiangzheng Qian | 2006 | Nonlinear Analysis2006，，3： | 1 |
| 16 | Periodie Solution of a Delayed Ratio-Dependent Predator-Prey Model with Monotonie Functional Response and Impulse显示文摘 | DAI Binxiang SU Hua HU Dianwang | 2009 | Nonlinear Analysis TMA2009，70，1： | 1 |
| 17 | PERIODIC SOLUTIONS FOR A CLASS OF DELAYED NONLINEAR DIFFERENCE EQUATIONS显示文摘With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree,some sufficient conditions are established for the global existence of positive periodic solutions of a class of delayed nonlinear difference equations. | Dai Binxiang Zhang Na | 2007 | Annals of Differential Equations2007，23，2： | 0 |
| 18 | Global dynamics of delayed intraguild predation model with intraspecific competition显示文摘A delayed intraguild predation (IGP) model with intraspecific competition is considered. It is shown that the delay has a destabilizing effect and induces oscillations. The global existence results of periodic solutions bifurcating from the positive equilibrium are established. It is shown that there exists at least one nontrival periodic solution when the delay passes through a certain critical value. Numerical simulations are performed to illustrate our theoretical results and show that intraspecific competition can also affect the stability of the positive equilibrium of the system. | Zhenzhen Li Binxiang Dai | 2018 | International Journal of Biomathematics2018，11，8： | 0 |
| 19 | Qualitative analysis of a reaction-diffusion SIRS epidemic model with nonlinear incidence rate and partial immunity显示文摘In this paper,a reaction-diffusion SIRS epidemic model with nonlinear incidence rate and partial immunity in a spatially heterogeneous environment is proposed.The well-posedness of the solution is firstly established.Then the basic reproduction number R0 is defined and a threshold dynamics is obtained.That is,when R_(0)<1,the disease-free steady state is locally stable,which implies that the disease is extinct,when R_(0)>1,the disease is permanent,and there exists at least one positive steady state solution.Finally,the asymptotic profiles of the positive steady state solution as individuals disperse at small and large rates are investigated.Furthermore,as an application of theoretical analysis,a numerical example involving the spread of influenza is discussed.Based on the numerical simulations,we find that the increase of transmission rate and spatial heterogeneity can enhance the risk of influenza propagation,and the increase of diffusion rate,saturation incidence for susceptible and recovery rate can reduce the risk of influenza propagation.Therefore,we propose to reduce the flow of people to lower the effect of spatial hetero-geneity,increase the transfer of infected individuals to hospitals in surrounding areas to increase the diffusion rate,and increase the construction of public medical resources to increase the recovery rate for controlling influenza propagation. | Jianpeng Wang Zhidong Teng Binxiang Dai | 2023 | Infectious Disease Modelling2023，8，3： | 0 |
| 20 | Dynamical analysis of a reaction-diffusion SEI epidemic model with nonlinear incidence rate显示文摘In this paper,a reaction-diffusion SEI epidemic model with nonlinear incidence rate is proposed.The well-posedness of solutions is studied,including the existence of positive and unique classical solution and the existence and the ultimate boundedness of global solutions.The basic reproduction numbers are given in both heterogeneous and homogeneous environments.For spatially heterogeneous environment,by the comparison principle of the diffusion system,the infection-free steady state is proved to be globally asymptotically stable if R_(0)<1,if R_(0)>1,the system will be persistent and admit at least one positive steady state.For spatially homogenous environment,by constructing a Lyapunov function,the infect ion-free steady state is proved to be globally asymptotically stable if,R_(0)<1,and then the unique positive steady state is achieved and is proved to be globally asymptotically stable if R_(0)>1.Finally,two examples are given via numerical simulations,and then some control strategies are also presented by the sensitive analysis. | Jianpeng Wang Binxiang Dai | 2021 | International Journal of Biomathematics2021，14，6： | 0 |
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