Research
Research Interests  Research Funding  Mathematics Resources  Coming Conferences  Complete List of Publications 

Research Interests:
Functional differential equations; Dynamical systems; Matrix and tensor analysis; Neural networks; Mathematical biology.

Research Funding:
 20092014: NSERC Research Grant: Dynamics of Delay Differential Equations: Theory and Applications.
 September 20, 2005December 31, 2011: Early Researcher Award.
 20042009: NSERC Research Grant: Dynamics of Systems of DelayDifferential Equations.
 20022004: NSERC Research Grant: Dynamics of Delaydifferential Systems Describing Neural Networks.
 20012004: Startup Fund from Wilfrid Laurier University.

Mathematics Resources:

Conferences and Workshops to Attend:

/>The Foruth International Conference on Recent Advances in Applied Dynamical Systems, Zhejiang Normal University, Jinhua, Zhejiang Province, P.R. China, June 1620, 2010. ?


Complete List of Publications:
Reviewed Papers on MathSciNet
[2011] [2010] [2009] [2008] [2007][ 2006]
[ 2005] [2004] [2003] [2002] [2001] [2000] [1999] [ 1996] [1995] [1994] "Traveling wavefronts pf a preypredator diffusion system with stagestructure and harvesting", J. Comput. Appl. Math., 235 (2011) 25602568. (with X. Liao and S. Zhou)
 "The existence of mild solutions for impulsive fractional partial differential equations", Nonlinear Anal.: TMA, 74 (2011) 20032011. (with X.B. Shu and Y. Lai)
 "Homoclinic solutions in periodic difference equations with saturable nonlinearity", Sci. China Math., 54 (2011) 8393. (with Z. Zhou and J. Yu)
 "Secondorder differentiability with respect to parameters for differential equations with adaptive delays'', Front. Math. China, 5 (2010) 221286. (with Q. Hu and J. Wu)
 "On the existence of gap solutions in a periodic discrete nonlinear Schrödinger equation with saturable nonlinearity", Nonlinearity, 23 (2010) 17271740. (with Z. Zhou and J. Yu)
 "Periodic solutions and the global attractor in a system of delay differential equations", SIAM J. Math. Anal., 42 (1)(2010) 2463. (with T. Yi and J. Wu)
 "Periodic solutions for 2nthorder nonlinear difference equations", Sci. China Math., 53 (2010) 4150. (with Z. Zhou and J. Yu)
 "Threshold dynamics of a delayed reaction diffusion equation subject to Dirichlet condition", J. Biol. Dyn., 3 (2009) 331341. (with T. Yi and J. Wu)
 "Multiple periodic solutions of an impulsive predatorprey model with Hollingtype IV functional response", Math. Comput. Modelling, 49 (2009) 18291836. (with Q. Wang and B. Dai)
 "Complete classification of equilibria and their stability in a delayed neuron network", Internat. J. Bifur. Chaos Appl. Sci. Engrg., 18 (2008) 20172027. (with J. Wu)
 "Dynamic complexities of a predatorprey model with generalized Holling type III functional response and impulsive effects", Comput. Math. Appl., 56 (2008) 17151725. (with H. Su, B. Dai and K. Li)
 "Permanence and global stability in a discrete $n$species competition system with feedback controls", Nonlinear Anal. Real World Appl., 9 (4) (2008) 16611671. (with X. Liao and S. Zhou)
 "Bifurcations in a delayed network: A case study", Journal of Neural Computing Systems, 1 (1) (2008) 3960. (with S. Guo and J. Wu)
 "Stability of the boundary solution of a nonautonomous predatorprey system with the BeddingtonDeAngelis functional response", J. Math. Anal. Appl., 344 (2) (2008) 10571067. (with F. Chen and J. Shi)
 "Twoparameter bifurcations in a network of two neurons with multiple delays", Journal of Differential Equations, 244 (2) (2008) 444486. (with S. Guo and J. Wu)
 "Existence and stability of positive periodic solutions to a periodic integrodifferential competition system with infinite delays", International Journal of Qualitative Theory of Differential Equations and Applications, 1 (2) (2007) 124134. (with F. Chen and S. Guo)
 "On permanence and global stability in a general GilpinAyala competition predatorprey discrete system", Appl. Math. Comput., 190 (1) (2007) 500509. (with X. Liao and S. Zhou)
 "Positive periodic solutions of nonautonomous functional differential systems", J. Math. Anal. Appl., 333 (2) (2007) 667678. (with N. Zhang and B. Dai)
 "Stability and bifurcation of a discretetime threeneuron system with delays", International Journal of Applied Mathematics and Engineering Sciences, 1 (2007) 89101. (with S. Guo)
 "Permanence for a discrete time LotkaVolterra type foodchain model with delays", Appl. Math. Comput., 186 (1) (2007) 279285. (With X. Liao and S. Zhou)
 "Network of neurons with delayed feedback: Periodical switching of excitation and inhibition", Dyn. Contin. Discrete Impuls. Syst. Ser. B: Appl. Algorithms, 14 (1) (2007) 113122.
 "Linear stability and Hopf bifurcation in a threeunit neural network with two delays", Neurocomputing, 70 (13) (2006) 219228. (With S. Zou and L. Huang)
 "Global asymptotic stability of delayed CohenGrossberg neural networks", IEEE Trans. Circuits Syst. I Regul. Pap., 53 (2) (2006) 351357.
 "Eventual Periodicity of $$x_{n+1}=max{1/x_{n}, A_{n}/x_{n1}}/> with Periodic Coefficients", J. Difference Equ. Appl., 11 (15) (2005) 12891294.
 "Existence and global attractivity of a positive periodic solution of a delayed periodic respiration model", Comput. Math. Appl., 49 (56) (2005) 677687. (With L. Huang)
 "Global attractivity of a circadian pacemaker model in a periodic environment", Discrete and Continuous Dynamical Systems, Series B, 5 (2) (2005) 277288. (With L. Wang)
 "Periodic solutions of a delayed periodic hematopoiesis model", International Journal of Applied Mathematics, 16 (1) (2004) 5567. (With H. Fang)
 "New results on positive periodic solutions of a periodic integrodifferential competition system", Appl. Math. Comput., 153(2) (2004) 557565.
 "Multiple periodic solutions of delayed predatorprey systems with type IV functional responses", Nonlinear Anal. Real World Appl., 5 (1) (2004) 4553.
 "Hopf bifurcation of a positive feedback delay differential equation", Northeast. Math. J., 19 (3) (2003) 213223. (With L. Huang)
 "Periodic solution of a delayed periodic logistic equation", Applied Mathematics Letters, 16 (2003) 10471051.
 "Global attractivity and oscillation in a nonlinear periodic delay difference equation", Comput. Math. Appl., 45 (69) (2003) 943950. (With Z. Zhou)
 "Periodic solutions of delayed predatorprey systems with mutual interference", Differential Equations Dynam. Systems, 11 (34) (2003) 321331.
 "Global attractivity of a population model with statedependent delay", Fields Institute Communications, 36 (2003), 113118.
 "Stable periodic solution of a discrete periodic LotkaVolterra competition system", J. Math. Anal. Appl., 277 (2003) 358366. (With Z. Zhou)
 "Limiting behavior of a class of delay difference equations", Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., 10 (2003) 7580.
 "Periodic solutions of delayed periodic Nicholson's blowflies models", Canadian Applied Mathematics Quarterly, 11 (1) (2003), 2328.
 "Unboundedness and periodicity of a system of delay difference equations", Mitt. Math. Sem. Giessen, 248 (2002) 119.
 "All solutions of a class of difference equations are truncated periodic", Appl. Math. Lett. 15 (2002) 975979.
 "Boundedness of solutions of a class of nonlinear planar systems", Tohoku Math. J. 54 (2002) no. 3, 393417. (With L. Huang and J. Wu)
 "Global stability of neural networks with distributed delays", Neural Networks, 15 (2002) 867871.
 "Convergence and periodicity of solutions for a discretetime network model of two neurons", Math. Comput. Modelling, 35 (2002) 941950. (With Z. Yuan and L. Huang)
 "Special symmetric periodic solutions of delayed monotone feedback systems", Canad. Appl. Math. Quart., 9 (2001) 317343. (With J. Wu)
 "Existence and unstable sets of oscillating periodic orbits for delayed excitatory networks of two neurons", Differential Equations Dynam. Systems, 9 (2001) no. 34, 169185.
 "A remark on 'On stability of nonlinear continuoustime neural networks with delays'", Neural Networks, 14 (2001) 1463.
 "Existence and attraction of a phaselocked oscillation in a delayed network of two neurons", Differential Integral Equations 14 (2001) 11811236. (With J. Wu)
 "Limiting profiles for periodic solutions of scalar delay differential equations'', Proc. Roy. Soc. Edinburgh Sect. A 131 (2001) 799810.
 "Slowly oscillating periodic solutions for a delayed frustrated network of two neurons", J. Math. Anal. Appl. 259 (2001) 188208. (With J. Wu)
 "A prior bounds and stability of solutions for a Volterra reactiondiffusion equation with infinite delay", Nonlinear Anal., 44 (2001) no. 1, 97121. (With B. Shi)
 "Synchronized and nonsymmetric phaselocked periodic solutions in a network of neurons with McCullochPitts nonlinearity", Dynamical Systems and Differential Equations, Proceedings of the International Conference: May 1821, Kennesaw State University, GA, USA, 102108.
 "The asymptotic shapes of periodic solutions of a singular delay differential systems", J. Differential Equations, 169 (2001), 614632. (With J. Wu)
 "On real solutions of the equation $$? ^{t}(A)=1/nJ_{n}/>", SIAM J. Matrix Anal. Appl. 22 (2001), 965970.
 "Connecting orbits from synchronous periodic solutions to phaselocked periodic solutions in a delay differential system", J. Differential Equations 163 (2000) 130173. (With J. Wu and T. Krisztin)
 "Desynchronization of large scale delayed neural networks", Proc. Amer. Math. Soc. 128 (2000) no. 8, 23652371. (With Y.S. Huang and J. Wu)
 "Periodic solutions of a single species discrete population model with periodic harvest/stock", Comput. Math. Appl. 39 (2000), no. 12, 7790. (With R. Y. Zhang, Z. C. Wang and J. Wu)
 "Limiting profiles of periodic solutions of neural networks with synaptic delays", Differential equations and computational simulations (Chengdu, 1999), 5558, World Sci. Publishing, River Edge, NJ, 2000. (with J. Wu)
 "Minimal instability and unstable set of a phaselocked orbit in a delayed neural network", Phys. D 134 (1999), no. 2, 185199. (With J. Wu)
 "Abstract partial functional differential equations of neutral type: Basic theory", Differential Equations Dynam. Systems, 7 (1999), no. 3, 331348.
 "The linear bispatial tensor equation $$?_{ij}A^{i}XB^{j}=C/>", Appl. Math. Mech. (English Ed.) 17 (1996), no. 10, 979986; translated from Appl. Math. Mech. 17 (1996), no. 10, 919926 (Chinese). (With H. Xiao and J.B. Li)
 "A direct pathpreserving algorithm for fuzzy relation equations" (Chinese), Mohu Xitong Yu Shuxue 10 (1996), no. 2, 4346. (With H.X. Li)
 "The explicit solution of the matrix equation $$AX XB=C/>", Appl. Math. Mech. (English Ed.) 16 (1995), no. 12, 11331141; translated from Appl. Math. Mech. 16 (1995), no. 12, 10511059 (Chinese). (With H. Xiao)
 "The Hamiltonian structures of 3D ODE with timeindependent invariants", Appl. Math. Mech. (English Ed.) 16 (1995), no. 4, 301306; translated from Appl. Math. Mech. 16 (1995), no. 4, 283288 (Chinese). (With Z.H. Guo)
 "Intrinsic solution to the $$n/>dimensional tensor equation $$?^{m}_{r=1}U^{mr}XU ^{r1}=C />", Comput. Methods Appl. Mech. Engrg. 115 (1994), no. 34, 359364. (With Z.H. Guo, J.B. Li and H. Xiao)