Recent Publications



  • ``A Periodic Disease Transmission Model with Asymptomatic Carriage and Latency Periods'', I. Al-Darabsah and Y. Yuan  J. Mathematical Biology, (2018).

  • ``A Stage-structured Mathematical Model For Fish Stock with Harvesting'', I. Al-Darabsah and Y. Yuan  SIAM J. Applied Mathematics, Vol. 78(1), (2018), 145-170.

  • ``Energy solutions and concentration problem of fractional Schr$\ddot{o}$dinger equation'', P. Li and Y. Yuan   Boundary Value Problem, Vol. 22, (2018).

  • ``Spatiotemporal Dynamics of the Diffusive Mussel-Algae Model Near Turing-Hopf Bifurcation,'' Y. Song, H. Jiang, Q. Liu and Y. Yuan  SIAM J. Applied Dynamical Systems, Vol. 16(4), (2017), 2030-2062.

  • ``Infinitely Many Small Energy Solutions for Fractional Coupled Schrodinger System with Critical Growth,'' P. Li, Y. Yuan , Y. Hui   J. Nonlinear Sci. Appl., Vol. 10, (2017), 4930-4939.

  • ``The Filippov Equilibrium and Sliding Motion in an Internet Congestion Control Model,'' S. Zhang and Y. Yuan  Discrete & Continuous Dynamical Systems - Series B, Vol. 22(3), (2017), 1189-1206.

  • ``A Time-Delayed Epidemic Model for Ebola Disease Transmission,'' I. Al-Darabsah and Y. Yuan  Applied Mathematics and Computations, Vol. 290, (2016), 307-325.

  • ``Effect of time delays in an HIV virotherapy model with nonlinear incidence,'' Y. Tian and Y. Yuan  Proceedings of the Royal Society A, Vol. 472, (2016), 20150626.

  • ``A Prey-Predator Model with Migrations and Delays,'' I. Al-Darabsah, X. Tang and Y. Yuan  Discrete & Continuous Dynamical Systems - Series B, Vol. 21(3), (2016), 737-761.

  • ``Effect of light on the growth of non-nitrogen-fixing and nitrogen-fixing phytoplankton in an aquatic system,'' G. S.K. Wolkowicz and Y. Yuan  J. Math. Biol., Vol. 72(6), (2016), 1663-1692.

  • ``Codimension One and Two Bifurcations in a Symmetrical Ring Network with Delay,'' J. Ying and Y. Yuan  J. Math. Analysis and Applications, Vol. 425(2), (2015), 1155-1176.

  • ``Threshold Dynamics in an SEIRS Model with Latency and Temporary Immunity,'' Y.Yuan and J. Belair   J. Mathematical Biology, Vol. 69, (2014), 875-904.

  • ``Dynamics of a General Stage Structured N Parallel Food Chains'', I. Al-Darabsah and Y. Yuan  Proceedings of the International Symposium on Mathematical and Computational Biology, World Scientific, (2014), 63-84.

  • ``An Optimal Allocation for Response Adaptive Designs,'' Y. Yi and Y. Yuan  Journal of Applied Statistics, Vol. 40(9), (2013), 1996-2008.

  • ``Homogeneous Auxin Steady States and Spontaneous Oscillations in Flux-Based Auxin Transport Models,'' E. Farcot and Y. Yuan  SIAM J. Appl. Dyn. Syst., Vol. 12(3), (2013), 1330-1353.

  • ``Pattern Formation in a Symmetrical Network with Delay,'' J. Ying and Y. Yuan  Nonlinear Analysis Series B: Real World Applications, Vol. 14 (2013), 1102-1113.

  • ``Stability, Bifurcation Analysis for Nicholson's Blowflies Equation with Nonlocal Delay ,'' R. Hu and Y. Yuan  European Journal of Applied Mathematics, Vol. 23, (2012), 777-796.

  • ``Modeling on an ecological food chain with recycling,'' Q. Cai, Z. Mohamad and Y. Yuan  Communications in Nonlinear Science and Numerical Simulation, Vol. 17, (2012), 4856-4869.

  • ``A Coupled Plankton System with Instantaneous and Delayed Predation,'' Y. Yuan  Journal of Biological Dynamics, Vol. 6, (2012), 148-165.

  • ``Global Stability for Non-monotone Delay Equations (with Application to A Model of Blood Cell Production),'' Y. Yuan and X.-Q. Zhao  Journal of Differential Equations, Vol. 252, (2012), 2189-2209.

  • ``Synchronous/Asynchronous Patterns in Three-Cell Networks with Multiple Time Delays,'' Y. Yuan and L. Li  International Journal of Bifurcation and Chaos, Vol. 21(6), (2011), 1701-1718.

  • ``Stability and Hopf Bifurcation Analysis for Functional Differential Equation with Distributed Delay,'' Y. Yuan and J. Belair  SIAM Journal on Applied Dynamical Systems, Vol. 10, (2011), 551-581.

  • ``Spatially Nonhomogeneous Equilibrium in a Reaction-diffusion System with Distributed Delay,'' R. Hu and Y. Yuan  Journal of Differential Equations, Vol. 250, (2011), 2779-2806.

  • ``Delay-Induced Primary Rhythmic Behavior in a Two-Layer Neural Network,'' S.J. Guo and Y. Yuan  Neural Networks, Vol. 24, (2011), 65-74.

  • ``Stability, Bifurcation Analysis in a Neural Network Model with Delay and Diffusion,'' R. Hu and Y. Yuan  Discrete and Continuous Dynamical Systems, Supp., (2009), 367-376.

  • ``Pattern Formation in a Ring Network with Delay,'' S.J. Guo and Y. Yuan   Mathematical Models and Methods in Applied Sciences, Vol. 19(10), (2009), 1797-1852.

  • ``Phytoplankton Depth Profiles and Their Transitions Near the Critical Sinking Velocity,'' T. Kolokolnikov, C.H. Ou and Y. Yuan   J. Math. Biol., Vol. 59, (2009), 105-122.

  • ``Zero Singularities of Codimension Two and Three in Delay Differential Equations,'' S.A. Campbell and Y. Yuan  Nonlinearity Vol. 21, (2008), 2671-2691.

  • ``Stability, Symmetry-breaking Bifurcations and Chaos in Discrete Delayed Models,'' M.S. Peng and Y. Yuan  Inter. J. Bifurcations and Chaos Vol. 18(5), (2008), 1477-1501.

  • ``Complex Dynamics in Discrete Delayed Models with $D_4$ Symmetry,'' M.S. Peng and Y. Yuan  Chaos, Solitons and Fractals Vol. 37(2), (2008), 393-408.

  • ``Dynamics in Three Cells with Multiple Time-delays,'' L. Li and Y. Yuan   Nonlinear Analysis - B: Real World Applications Vol. 9(3), (2008), 725-746.

  • `` Singularity Analysis on a Planar System with Multiple Delays '', Y. Yuan and J. Wei   J. Dynamics and Differential Equations Vol. 19(2), (2007), 437-456.

  • `` Stability Switches and Hopf Bifurcations in a Pair of Delay Coupled Oscillators '', Y. Song, J. Wei and Y. Yuan   J. Nonlinear Science , Vol. 17(2), (2007), 145-166.

  • `` Synchronization and Desynchronization in a Delayed Discrete Neural Network '', M. Peng and Y. Yuan   Int. J. Bifurcations & Chaos Vol. 17(3), (2007), 791-803.

  • `` Bogdanov-Takens Singularity in Van der Pol's Oscillator,'' W. Jiang and Y. Yuan   Physica D, Vol. 227(2), (2007), 149-161.

  • `` Dynamics in a Delayed-Neural Network '', Y. Yuan   Chaos, Solitons & Fractals , Vol. 33(2), (2007), 443-454.

  • `` Multiple Bifurcation Analysis in a Neural Network Model with Delays '', Y. Yuan and J.J. Wei   Int. J. Bifurcations & Chaos Vol. 16(10), (2006), 2903-2913.

  • `` Analysis on Limit Cycles of $Z_q$-equivariant Polynomial Vector Fields with Degree 3 or 4 '', P. Yu, M. Han and Y. Yuan   J. Mathematical Analysis and Applications Vol. 322, (2006), 51-65.

  • `` Bifurcation Analysis on a Survival Red Blood Cells Model '', Y.L. Song, J.J. Wei and Y. Yuan   J. Mathematical Analysis and Applications Vol. 316, (2006), 459-471.

  • `` Equivariant Hopf Bifurcation in a Ring of Identical Cells with Delayed Coupling '', S. A. Campbell, Y. Yuan and S. Bungay   Nonlinearity Vol. 18, (2005), 2827-2846.

  • `` Synchronized Hopf Bifurcation Analysis in a Neural Network Model with Delays '', J.J. Wei and Y. Yuan   J. Mathematical Analysis and Applications Vol. 312, (2005), 205-229.

  • `` Stability and Synchronization of a Ring of Identical Cells with Delayed Coupling '', Y. Yuan and S.A. Campbell,   J. Dynamics and Differential Equations Vol. 16(3), (2004), 709-744.

  • `` Aeroelasticity of Time-Delayed Feedback Control of Two-Dimensional Supersonic Lifting Surfaces '', Y. Yuan , P. Yu, L. Librescu and P. Marzocca,   J. Guidance, Control, and Dynamics , Vol. 27(5), (2004), 795-803.

  • `` The Simplest Normal Form Generalized Hopf Bifurcation with Perturbation Parameters '', P. Yu and Y. Yuan ,   Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms (DCDIS), suppl. , (2003), 127-132.

  • `` A matching Pursuit Technique for Computing the Simplest Normal Forms of Vector Fields '', P. Yu and Y. Yuan ,   J. Symbolic Computation, Vol. 35(5), (2003), 591-615.

  • `` The Simplest Normal Form for 1:2 Double Hopf Singularity '', Y. Yuan and P. Yu,   Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms (DCDIS), Vol. 10 (1-3), (2003), 123-136.

  • `` An Efficient Method for Computing the Simplest Normal Forms of Vector fields '', P. Yu and Y. Yuan ,   Int. J. Bifurcations & Chaos, Vol. 13(1), (2003), 19-46.

  • `` Bifurcation and Stability Analysis of a 13-D Seic Model Using Normal Form Reduction and Numerical Simulation '', A.B. Gumel, S.M. Moghads, Y. Yuan and P. Yu,   Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms (DCDIS), Vol. 10 (1-3), (2003), 317-330.

  • `` Study of Double Hopf Bifurcation and Chaos for an Oscillator with Time Delayed Feedback '', P. Yu, Y. Yuan and J. Xu,   Int. J. Communications in Nonlinear Science and Numerical Simulation (CNSNS), Vol. 7 (1-2) (2002), 69-91.

  • `` Computation of Simplest Normal Forms of Differential Equations Associated with a Double-zero Eigenvalues '', Y. Yuan and P. Yu,   Int. J. Bifurcations & Chaos, Vol. 11(5), (2001) 1307-1330.

  • `` The Simplest Normal Forms Associated with a Triple Zero Eigenvalue of Indices One and Two '', P. Yu and Y. Yuan ,   Nonlinear Analysis: Theory, Methods and Applications , Vol. 47, (2001) 1105-1116.

  • `` The Simplest Normal Form for the Singularity of a Pure Imaginary And a Zero Eigenvalue '', P. Yu and Y. Yuan ,   Dynamics of Continuous, Discrete and Impulsive Systems (DCDIS) , Vol. 8 (2) (2001) 219-249.