Welcome to our website!

Zhi-Cheng Wang

Professor of Institute of Applied Mathematics.

Email:wangzhch@lzu.edu.cn

Ph.D.Lanhou University, 2007, Mathematics

Biography

Education:
09.2004--07.2007: Ph.D in Applied Mathematics, Lanzhou University, China. 
09.2002--06.2004: M.Sc in Applied Mathematics, Lanzhou University, China 
Postdoctoral experiences:
03.2008--03.2009: Visiting Professor,   York University, Canada
Employment:
05.2011-- :  Professor, Lanzhou University, China 
08.2007--04.2011: Associate Professor, Lanzhou University, China
08.2006--07.2007: Associate Professor, Hexi University, China
07.1994--07.2006: Lecturer, Hexi University, China

Social experience

  • Teaching and guiding the situation of graduate students

  • Project results

  • 1)	Nonlocal Dynamics, Natural Science Foundation of China (Co-PI, Grants number: 11731005, 01/01/2018--31/12/2022),   National Natural Science Foundation of China.
    2)	Nonplanar traveling Wave Solutions of Reaction-Diffusion Equations in High-dimensional Spatial Space, Natural Science Foundation of China (PI, Grants number: 11371179, 01/01/2014--31/12/2017),   National Natural Science Foundation of China.
    3)	Reaction-Diffusion Waves in Biological Models with Nonlocality,  Natural Science Foundation of China (PI, Grants number: 11071105, 01/01/2011--31/12/2013),   National Natural Science Foundation of China.
    4)	Program for New Century Excellent Talents in University (PI, Grants number: NCET-10-0470, 01/01/2011--31/12/2013), Ministry of Education of the People's Republic of China.
    5)	Entire solutions in reaction-diffusion euqations with nonlocal delays, Research Fund for the Doctoral Program of Higher Education of China (PI, Grants number: 20090211120023, 01/01/2010--31/12/2012), Ministry of Education of the People's Republic of China.
    
  • Research interests

    Reaction-Diffusion equations, Dynamical System, Mathematical Biology

    Publications

  • 1.	Zhen-Hui Bu, Hongjun Guo, Zhi-Cheng Wang, Transition fronts of combustion reaction diffusion equations in $\mathbb{R}^{N}$, J. Dynam. Differential Equations, DOI: 10.1007/s10884-018-9675-x .
    2.	Liang Zhang, Zhi-Cheng Wang, Xiao-Qiang Zhao, Propagation dynamics of a time periodic and delayed reaction-diffusion model without quasi-monotonicity,  Trans. Amer. Math. Soc.,  DOI: https://doi.org/10.1090/tran/7709  
    3.	Danhua Jiang, King-Yeung Lam, Yuan Lou, Zhicheng Wang, Monotonicity and Global Dynamics of a Nonlocal Two-species Phytoplankton Model, SIAM J. Appl. Math. 79(2)(2019) 716-742.
    4.	Luyi Ma, Hong-Tao Niu, Zhi-Cheng Wang, Globally asymptotic stability of traveling waves to the Allen-Cahn equation with a fractional Laplacian,  Commun. Pure Appl. Anal., 18(5)(2019) 2457-2472.
    5.	Xue-Feng San, Zhi-Cheng Wang, Traveling waves for a two-group epidemic model with latent period in a patchy environment, J. Math. Anal. Appl., 475 (2019) pp. 1502-1531.
    6.	Zhen-Hui Bu, Lu-Yi Ma, Zhi-Cheng Wang, Stability of pyramidal traveling fronts in the degenerate monostable and combustion equations II, Nonlinear Analysis RWA , 47(2019) 45-67.
    7.	Hong-Tao Niu, Zhen-Hui Bu, Zhi-Cheng Wang, Global stability of curved fronts in the Belousov-Zhabotinskii reaction-diffusion systems in $\mathbb{R}^{2}, Nonlinear Analysis RWA,  46(2019) 493-524. 
    8.	Yu-Juan Sun, Li Zhang, Wan-Tong  Li and Zhi-Cheng Wang, Entire solutions in nonlocal monostable equations: Asymmetric Case, Commun. Pure Appl. Anal., 18(3)(2019) 1049-1072.
    9.	Lin Zhao, Zhi-Cheng Wang, Shigui Ruan, Traveling Wave Solutions in a Two-group SIR Epidemic Model with Constant Recruitment, J. Math. Biol. 77(2018) 1871-1915.
    10.	Wei-Jie Sheng, Zhi-Cheng Wang, Entire Solutions of Monotone Bistable Reaction-Diffusion Systems in $\mathbb R^N$, Calculus of Variations and Partial Differential Equations (Calc. Var. PDE),  57(2018) 145(36pages), DOI: 10.1007/s00526-018-1437-4
    11.	Danhua Jiang, Zhi-Cheng Wang, Liang Zhang, A reaction-diffusion-advection SIS epidemic model in a spatially-temporally heterogeneous environment, Discrete Contin. Dyn. Syst. Ser. B, 23(10)(2018) 4557-4578.
    12.	Ren-Hu Wang, Lei Wang, Zhi-Cheng Wang, Free boundary problem of a  reaction-diffusion equation with nonlinear convection term, J. Math Anal Appl, 467 (2018) pp. 1233-1257.
    13.	Xiongxiong Bao, Wan-Tong Li, Wenxian Shen, Zhi-Cheng Wang, Spreading speeds and linear determinacy of time dependent diffusive cooperative/competitive systems,  J. Differential Equations, 265(2018) 3048-3091.
    14.	Bang-Sheng Han, Zhi-Cheng Wang, Turing Patterns of a Lotka-Volterra Competition System with Nonlocal Delay, International Journal of Bifurcation and Chaos, Vol 28, No. 7(2018) 1830021(25pages)
    15.	Zhen-Hui Bu, Zhi-Cheng Wang, Multidimensional stability of traveling  fronts in combustion and non-KPP monostable equations, Z. Angew. Math. Phys., (2018) 69:12(27pp). (DOI: 10.1007/s00033-017-0906-5)
    16.	Zhen-Hui Bu, Zhi-Cheng Wang, Global stability of V-shaped traveling fronts in combustion and degenerate monostable equations, Discrete and Continuous Dynamical Systems, 38(5)(2018)2251-2286.
    17.	Hong-Tao Niu, Zhi-Cheng Wang, Zhen-Hui Bu, Curved fronts in the Belousov-Zhabotinsky reaction-diffusion systems in R^2,  J. Differential Equations, 264(2018) 5758-5801. 
    18.	Zhi-Cheng Wang, Liang Zhang, Xiao-Qiang Zhao, Time periodic travelling waves for a periodic and diffusive SIR epidemic model,  J. Dynam. Differential Equations, 30(1) (2018) 379-403.
    19.	Dan-Hua Jiang, Zhi-Cheng Wang, The Diffusive Logistic Equation on Periodically Evolving Domains, J. Math. Anal. Appl. 458(1) (2018) 93-111.
    20.	Xiong-Xiong Bao, Wan-Tong Li and Zhi-Cheng Wang, Time periodic traveling curved fronts in the periodic Lotka-Volterra competition-diffusion system, J. Dynam. Differential Equations, 29 (3) (2017), 981–1016.
    21.	Li Zhang, Wan-Tong Li, Zhi-Cheng Wang, Entire Solution in an Ignition Nonlocal Dispersal Equation: Asymmetric Kernel,  Sci China Math  60(10)(2017) 1791–1804, doi: 10.1007/s11425-016-9003-7
    22.	Liang Zhang, Zhi-Cheng Wang, Threshold dynamics of a reaction-diffusion epidemic model with stage structure, Discrete and Continuous Dynamical Systems series B, 22(10)(2017) 3797-3820.
    23.	Lin Zhao, Zhi-Cheng Wang, Liang Zhang, Threshold dynamics of a time periodic and two-group epidemic model with distributed delay,  Math. Biosci.  Engineering,  14(5/6)(2017), 1535-1563.
    24.	Jian-Wen Sun, Wan-Tong Li, Zhi-Cheng Wang, The Periodic Principal Eigenvalues with Applications to the Nonlocal Dispersal Logistic Equation, J. Differential Equations, 263 (2017) 934-971.
    25.	Lin Zhao, Zhi-Cheng Wang, Shigui Ruan, Traveling wave solutions of a two-group epidemic model with latent period,  Nonlinearity, 30(2017), 1287-1325.
    26.	Zhen-Hui Bu, Zhi-Cheng Wang, Stability of pyramidal traveling fronts in the degenerate monostable and combustion equations I,   Discrete and Continuous Dynamical Systems, 37(2017), 2395-2430.
    27.	Zhi-Cheng Wang, Hui-Ling Niu, Shigui Ruan, On the Existence of Axisymmetric Traveling Fronts in Lotka-Volterra Competition-Diffusion Systems in $\mathbb{R}^3$, Discrete Contin. Dyn. Syst. Ser. B, 22(3)(2017), 1111-1144.
    28.	Lin Zhao, Zhi-Cheng Wang, Traveling wave fronts in a diffusive epidemic model with multiple parallel infectious stages,  IMA Journal of Applied Mathematics  81(2016) 795-823. 
    29.	Zhi-Cheng Wang, Wan-Tong Li, Shigui Ruan, Existence, uniqueness and stability of pyramidal traveling fronts in reaction-diffusion systems. Sci China Math,  59 (2016) 1869–1908.
    30.	Liang Zhang, Zhi-Cheng Wang, A Time-Periodic Reaction-Diffusion Epidemic Model with Infection Period, Z. Angew. Math. Phys., (2016) 67: 117.
    31.	Bang-Sheng Han, Zhi-Cheng Wang, Zhaosheng Feng, Traveling waves for the nonlocal diffusive single species model with Allee effect,  J. Math. Anal. Appl.  443(2016) 243-264.
    32.	Liang Zhang, Zhi-Cheng Wang, Dynamics of a reaction-diffusion waterborne pathogen model with direct and indirect transmission, Computers and Mathematics with Applications, 72 (2016) 202-215.
    33.	Cui-Ping Cheng, Wan-Tong Li, Zhi-Cheng Wang, Shenzhou Zheng, Traveling waves connecting equilibrium and periodic orbit for a delayed population model on a two-dimensional spatial lattice, International Journal of Bifurcation and Chaos, Vol. 26, No. 3 (2016) 1650049 (13 pages). 
    34.	Bang-Sheng Han, Zhi-Cheng Wang, Traveling wave solutions in a nonlocal reaction-diffusion population model,  Commun. Pure Appl. Anal., 15(3) (2016), 1069-1088.
    35.	Zhi-Cheng Wang, Zhen-Hui Bu, Nonplanar traveling fronts in Reaction-Diffusion equations with combustion and degenerate Fisher-KPP nonlinearities,   J. Differential Equations,  260 (2016), 6405–6450.
    36.	Zhen-Hui Bu, Zhi-Cheng Wang and Nai-Wei Liu, Asymptotic behavior of pulsating fronts and entire solutions of reaction-advection-diffusion equations in periodic media,  Nonlinear Analysis  RWA, 28(2016) 48-71.
    37.	Zhen-Hui Bu and Zhi-Cheng Wang, Curved fronts of monostable reaction-advection-diffusion equations in space-time periodic media,  Commun. Pure Appl. Anal., 16(1)(2016) 139-160.
    38.	Bin-Guo Wang, Wan-Tong Li and Zhi-Cheng Wang, A Reaction-Diffusion SIS Epidemic Model in an Almost Periodic Environment, Z. Angew. Math. Phys.,  66 (6) (2015), 3085-3108.
    39.	Zhi-Cheng Wang, Cylindrically symmetric traveling fronts in periodic reaction-diffusion equation with bistable nonlinearity,  Proc. Roy. Soc. Edinburgh Sect. A , 145A (2015), 1053–1090.
    40.	Liang Zhang, Zhi-Cheng Wang, Xiao-Qiang Zhao, Threshold Dynamics of A Time Periodic Reaction-Diffusion Epidemic Model with Latent Period, J. Differential Equations, 258 (2015) 3011–3036. 
    41.	Jian-Wen Sun, Wan-Tong Li, Zhi-Cheng Wang, A Nonlocal Dispersal Logistic Equation with Spatial Degeneracy,  Discrete and Continuous Dynamical Systems, 35(7) (2015) 3217-3238.
    42.	Fei-Ying Yang, Wan-Tong Li, Zhi-Cheng Wang, Traveling Waves in a Nonlocal Dispersal SIR Epidemic Model, Nonlinear Analysis RWA, 23(2015) 129-147.  
    43.	Liang Zhang, Zhi-Cheng Wang, Spatial dynamics in a diffusive predator-prey model with stage structure, Discrete Contin. Dyn. Syst. Ser. B, 20 (2015), no. 6, 1831–1853.
    44.	Wei-Jie Sheng, Wan-Tong Li, Zhi-Cheng Wang, Multidimensional stability of V-shaped traveling fronts in the Allen-Cahn equation,  SCIENCE CHINA Mathematics,  56(10) (2013), 1969–1982. 
    45.	Hui-Ling Niu, Zhi-Cheng Wang, Traveling waves in lattice differential equations with distributed maturation delay, Electron. J. Qual. Theory Differ. Equ. 2013, No. 44, 1-22.
    46.	Fei-Ying Yang, Yan Li, Wan-Tong Li and Zhi-Cheng Wang, Traveling Waves in a Nonlocal Anisotropic Dispersal Kermack-McKendrick Epidemic Model,   Discrete and Continuous Dynamical Systems-Series B, Vol. 18, no. 7 September 2013, pp 1969-1993.
    47.	Xiong-Xiong Bao, Zhi-Cheng Wang, Existence and stability of time periodic traveling waves for a periodic bistable Lotka-Volterra competition system,  J. Differential Equations, 255(2013) 2402-2435.
    48.	Zhi-Cheng Wang, Wan-Tong Li, Shigui Ruan, Entire solutions in lattice delayed differential equations with nonlocal interaction: Bistable cases, Math. Model. Nat. Phenom. Vol. 8, No. 3, 2013, pp. 78–103.
    49.	Yuxiao Wang and Zhi-Cheng Wang, Entire solutions in a time-delayed and diffusive epidemic model, Appl. Math. Comput. 219 (2013) 5033–5041
    50.	Zhi-Cheng Wang, Jianhong Wu, Rongsong Liu, Traveling waves of  the spread of avian influenza, Proc. Amer. Math. Soc., 140(11)(2012), 3931-3946.
    51.	Guo-Bao Zhang, Wan-Tong Li and Zhi-Cheng Wang, Spreading Speeds and Traveling Waves for  Nonlocal Dispersal Equations with Degenerate Nonlinearity, J. Differential Equations,252 (2012), pp. 5096-5124.
    52.	Cui-Ping Cheng, Wan-Tong Li, Zhi-Cheng Wang, Persistence of Bistable Waves in a Delayed Population Model with Stage Structure on a Two-Dimensional Spatial Lattice,  Nonlinear Anal. RWA, 13(2012),  1873–1890.
    53.	Zhi-Cheng Wang, Traveling curved fronts in monotone bistable systems, Discrete Continu. Dyn. Systems, 32(2012), 2339--2374.
    54.	Nai-Wei Liu, Wan-Tong Li, Zhi-Cheng Wang, Pulsating Type Entire Solutions of Monostable Reaction-Advection-Diffusion Equations in Periodic Excitable Media,Nonlinear Analysis TMA, 75(4) (2012), 1869–1880.
    55.	Wei-Jie Sheng, Wan-Tong Li, Zhi-Cheng Wang, Periodic pyramidal traveling fronts of bistable reaction-diffusion equations with  time-periodic nonlinearity, J. Differential Equations 252(2012), 2388-2424.
    56.	Zhi-Cheng Wang, Jianhua Wu, Traveling waves in a bio-reactor  model with stage-structure,  J. Math. Anal. Appl., 385 (2012), 683–692.
    57.	Yu-Juan Sun, Wan-Tong Li and Zhi-Cheng Wang, Entire Solutions in Nonlocal Dispersal Equations with Bistable Nonlinearity,  J. Differential Equations  251 (2011), 551–581.
    58.	Zhi-Cheng Wang, Jianhua Wu, Periodic traveling curved fronts in reaction-diffusion equations with bistable time-periodic nonlinearity, J. Differential Equations 250 (2011), 3196–3229.
    59.	Yu-Juan Sun, Wan-Tong Li and Zhi-Cheng Wang, Traveling Waves for a Nonlocal Anisotropic Dispersal Equation with Monostable Nonlinearity, Nonlinear Analysis 74 (2011), 814–826.
    60.	Zhi-Cheng Wang, Wan-Tong Li, Dynamics of a nonlocal delayed reaction-diffusion equation without quasi-monotonicity, Proc. Roy. Soc. Edinburgh Sect. A ,   140 (2010), 1081 -1109.
    61.	Wan-Tong Li, Yu-Juan Sun, Zhi-Cheng Wang, Entire solutions in the Fisher–KPP equation with nonlocal dispersal, Nonlinear Analysis RWA, 11 (2010), 2302-2313.
    62.	Cui-Ping Cheng, Wan-Tong Li, Zhi-Cheng Wang, Asymptotic Stability of Traveling Wavefronts in a Delayed Population Model with Stage Structure on a Two-Dimensional Spatial Lattice, Discrete Continu. Dyn. Systems- B, 13 (2010), 559-575.
    63.	Zhi-Cheng Wang, Jianhong Wu, Traveling waves of a diffusive Kermack-McKendrick epidemic model with nonlocal delayed transmission, Proc. Royal Soc. A: Mathematical, Physical and Engineering Sciences, 466 (2010), 237-261.
    64.	Nai-Wei Liu, Wan-Tong Li, Zhi-Cheng Wang, Entire solutions in reaction advection diffusion equations with bistable nonlinearity in cylinders, J. Differential Equations, 246 (2009), 4249-4267.
    65.	Zhi-Cheng Wang, Wan-Tong Li and Shigui Ruan, Entire solutions in bistable reaction-diffusion equations with delayed nonlinearity, Trans. Amer. Math. Soc., 361(2009), 2047-2084.
    66.	Zhi-Cheng Wang, Wan-Tong Li, Jianhong Wu, Entire solutions in delayed lattice differential equations with monostable nonlinearity, SIAM J. Math. Anal., 40(2009), 2392-2420.
    67.	Bin-Guo Wang, Zhi-Cheng Wang, Exponential dichotomy and admissibility of linearized skew-product semiflows defined on a compact positively invariant subset of semiflows, Nonlinear Analysis RWA, 10(2009), 2062-2071.
    68.	Wan-Tong Li, Zhi-Cheng Wang, Jianhong Wu, Entire solutions in monostable reaction diffusion equations with delayed nonlinearity, J. Differential Equations, 245(2008), 102-129.
    69.	Zhi-Cheng Wang, Wan-Tong Li, Shigui Ruan, Travelling fronts in monostable equations with nonlocal delayed effects, J. Dynam. Differential Equations, 20(2008), 573-607.
    70.	Wan-Tong Li, Nai-Wei Liu, Zhi-Cheng Wang, Entire solutions in reaction advection diffusion equations in cylinders, J. Math. Pures Appl., 90(2008), 492-504.
    71.	Cui-Ping Cheng, Wan-Tong Li, Zhi-Cheng Wang, Spreading speeds and traveling waves in a delayed population model with stage structure on a two-dimensional spatial lattice, IMA J. Appl. Math., 73(2008), 592-618.
    72.	Zhi-Cheng Wang, Wan-Tong Li, Monotone travelling fronts of a food-limited population model with nonlocal delay, Nonlinear Analysis RWA, 8 (2007), 699-712.
    73.	Zhi-Cheng Wang, Wan-Tong Li, Shigui Ruan, Existence and stability of traveling wave fronts in reaction advection diffusion equations with nonlocal delay, J. Differential Equations, 238(2007), 153-200.
    74.	Wan-Tong Li, Shigui Ruan, Zhi-Cheng Wang, On the diffusive Nicholson's Blowflies equation with nonlocal delay, J. Nonlinear Science, 17(2007), 505-525. 
    75.	Wan-Tong Li, Zhi-Cheng Wang, Traveling fronts in diffusive and cooperative Lotka-Volterra system with nonlocal delays, Z. Angew. Math. Phys., 58(2007), 571-591.
    76.	Zhi-Cheng Wang, Wan-Tong Li, Shigui Ruan, Travelling wave fronts in reaction-diffusion systems with spatio-temporal delays, J. Differential Equations, 222( 2006), 185-232.
    
  • Honor and Award

  • Second Class Prize of the Natural Science Award of Gansu Province, 2012
  • Other information

  • Professional Services:
    1.	Council member of Gansu Province Mathematical Society, 2015 - present.
    2.	Associate editor, Jan. 2018--present, International Journal of Bifurcation and Chaos.
    3.	Associate editor, Jan. 2018--present, Mathematical Biosciences and Engineering
    4.	 Referee for  mathematical journals: SIAM J. Math. Anal., J. Differential Equations,  Nonlinearity, DCDS-A., DCDS-B.,  Nonlinear Analysis RWA,  Appl. Math. Lett., Physics Letters A, Math. Methods Appl. Sci., J. Math. Appl. Anal., Compu. Math. Appl.,  IMA J. Appl. Math.,  Applicable Analysis, Acta Mathematica Sinica, Appl. Math. Modelling, Advanced Nonlinear Studies, Inter. J. Bifurcation and Chaos, CPAA, etc.