Publications (peer-reviewed papers + preprints). More information can be found in Google Scholar

1. H.Y. Peng, Z.A. Wang and C.J. Zhu
   Global weak solutions and asymptotics of a singular PDE-ODE chemotaxis system with discontinuous data,
   Sci. China Math., 65:269-290, 2022. (supported by GRF PolyU 153031/17P and internal grant 4-ZZHY).
2. Q.Q. Liu, H.Y. Peng and Z.A. Wang
   Convergence to nonlinear diffusion waves for a hyperbolic-parabolic chemotaxis system modelling vasculogenesis,
   J. Differential Equations, 413:251-286, 2022. (supported by GRF PolyU 15304720) .
3. W. Lyu and Z.A. Wang
   Global classical solutions for a class of reaction-diffusion system with density-suppressed motility,
   Electronic Research Archive, 2021.
4. Z.A. Wang and X. Xu
   Radial spiky steady states of a flux-limited Keller-Segel model: existence, asymptotics and stability,
   Stud. Appl. Math., 2021. DOI: 10.1111/sapm.12474 (supported by GRF grant No. PolyU 153055/18P (P0005472)).
5. Z.A. Wang
   A kinetic chemotaxis model with internal states and temporal sensing,
   Kinet. Relat. Models, 2021. Doi:10.3934/krm.2021043(supported by GRF grant No. PolyU 153055/18P (P0005472)).
6. Q.Q. Liu, H.Y. Peng and Z.A. Wang
   Asymptotic stability of diffusion waves of a quasi-linear hyperbolic-parabolic model for vasculogenesis,
   SIAM J. Math. Anal, in press, 2021.
7. Z.A. Wang and L. Wu
   Global solvability of a class of reaction-diffusion systems with cross-diffusion,
   Appl. Math. Lett., 124, Paper No. 107699, 8 pp, 2022.
8. T. Li and Z.A. Wang
   Traveling wave solutions to the density-suppressed motility model ,
   J. Differential Equations, 301:1-36,2021(RGC GRF grant No. PolyU 15303019 (Project ID P0030816).
9. S. Ji, Z.A. Wang, T. Xu and J. Yin
   A reducing mechanism on wave speed for chemotaxis systems with degenerate diffusion,
   Calc. Var. Partial Differential Equations, Vol. 60, Paper No. 178, 19 pp, 2021 (supported by GRF PolyU 153055/18P - Q65K).
10. G. Hong and Z.A. Wang
    Asymptotic stability of exogenous chemotaxis systems with physical boundary conditions,
    Quart. Appl. Math., 79:717-743,2021. https://doi.org/10.1090/qam/1599 , 2021 (supported by GRF PolyU 153031/17P - Q62H and ZZHY from HKPU).
11. Z.A. Wang
    On the parabolic-elliptic Keller-Segel system with signal-dependent motilities: a paradigm for global boundedness and steady states,
    Math. Methods Appl. Sci., 44:10881-10898, 2021. https://doi.org/10.1002/mma.7455 (supported by GRF grant No. 15303019 - Q75G and UAH0).
12. Z.A. Wang and X. Xu
    Steady states and pattern formation of the density-suppressed motility model,
    IMA J. Appl. Math., 86:577-603, 2021(supported by RGC grant no. PolyU 15303019 - Q75G).
13. Z.A. Wang and J. Zheng
    Global boundedness of the fully parabolic Keller-Segel system with signal-dependent motilities,
    Acta Appl Math., Vol. 171, no. 25, Paper No. 25, 19 pp, 2021. https://doi.org/10.1007/s10440-021-00392-8. (supported by GRF grant No. 15303019 and an internal grant no. UAH0 (P0005472)).
14. Z.A. Wang and J. Xu
    On the Lotka-Volterra competition system with dynamical resources and density-dependent diffusion,
    J. Math. Biol., Vol. 82, no. 1-2, Paper No. 7, 37 pp, 2021. https://doi.org/10.1007/s00285-021-01562-w (supported by PolyU 153298/16P).
15. G. Hong, H. Peng, Z.A. Wang and C. Zhu
    Nonlinear stability of phase transition steady states to a hyperbolic-parabolic system modelling vascular networks,
    J. London Math. Soc., 103:1480-1514, 2021 (supported by PolyU 153055/18P (P0005472) and an internal grant No. ZZKN from HKPU (P0031013)).
16. D. Wang, Z.A. Wang and K. Zhao
    Cauchy problem of a system of parabolic conservation laws arising from a Keller-Segel type chemotaxis model in multi-dimensions,
    Indiana Univ. Math. J., 70(1):1-47, 2021 (supported by PolyU 153031/17P).
17. T. Li, D. Wang, F. Wang, Z.A. Wang and K. Zhao
    Large time behavior and diffusion limit for a system of balance laws from chemotaxis in multi-dimensions,
    Comm. Math. Sci., 19:229-272, 2021 (supported by PolyU 153031/17P (Project ID:P0005368) and internal grant ZZHY (Project ID:P0001905)).
18. J.A. Carrillo, J. Li and Z.A. Wang
    Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability,
    Proc. London Math. Soc., 122:42-68, 2021. doi:10.1112/plms.12319 (supported by PolyU 153031/17P (Project ID P0005368)).
19. H.Y. Jin and Z.A. Wang
    Global stability and spatio-temporal patterns of predator-prey systems with density-dependent motion,
    Euro. Jnl of Applied Mathematics, 32:652-682, 2021 (supported by PolyU 153298/16P).
20. H.Y. Jin and Z.A. Wang
    The Keller-Segel system with logistic growth and signal-dependent motility,
    Disc. Cont. Dyn. Syst.-B, 26(6): 3023-3041, 2021. doi: 10.3934/dcdsb.2020218 (supported by PolyU No. 15303019 (Project Q75G)).
21. Q. Hou, T.-C. Lin and Z.A. Wang
    On a singularly perturbed semi-linear problem with Robin boundary conditions ,
    Disc. Cont. Dyn. Syst.-B, 26(1): 401-414, 2021(supported by PolyU 153031/17P (Project ID P0005368) and an internal grant P0001905).
22. H.Y. Jin, S. Shi and Z.A. Wang
    Boundedness and asymptotics of a reaction-diffusion system with density-dependent motility,
    J. Differential Equations, 269:6758-6793, 2020. (supported by PolyU No. 15303019 (Project Q75G)).
23. C.C. Lee, Z.A. Wang and W. Yang
    Boundary-layer profile of a singularly perturbed non-local semi-linear problem arising in chemotaxis ,
    Nonlinearity, 33:5111-5141, 2020(supported by PolyU 153032/15P (Project ID P0005368)).
24. H.Y. Jin and Z.A. Wang
    Critical mass on the Keller-Segel system with signal-dependent motility,
    Proc. Amer. Math. Soc., 148:4855-4873,2020(supported by an internal grant ZZHY).
25. Y. Cai, Q. Cao and Z.A. Wang
    Asymptotic dynamics and spatial patterns of a ratio-dependent predator-prey system with prey-taxis,
    Applicable Analysis, https://doi.org/10.1080/00036811.2020.1728259, 2020(supported by GRF grant PolyU 153298/16P (Project ID P0005162)).
26. B. Perthame, N. Vauchelet and Z.A. Wang
    The flux limited Keller-Segel system: properties and derivation from kinetic equations,
    Rev. Mat. Iberoam., 36: 357-386, 2020. Doi 10.4171/rmi/1132 (supported by PolyU 153031/17P and an internal grant No. ZZHY).
27. J.Y. Li and Z.A. Wang
    Convergence to traveling waves of a singular PDE-ODE hybrid chemotaxis system in the half space,
    J. Differential Equations, 268:6940-6970, 2020 (supported by PolyU153032/15P).
28. M. Ma, R. Peng and Z. Wang
    Stationary and non-stationary patterns of the density-suppressed motility model,
    Phys. D, 402, 132259, 2020 (supported by PolyU153298/16P (Q56F)).
29. H.Y. Peng and Z. Wang
    On a parabolic-hyperbolic chemotaxis system with discontinuous data: well-posedness, stability and regularity,
    J. Differential Equations, 268: 4374-4415, 2020. (supported by PolyU 153032/15P and ZZHY).
30. J.A. Carrillo, X. Chen, Q. Wang, Z. Wang and L. Zhang
    Phase transitions and bump solutions of the Keller-Segel model with volume exclusion ,
    SIAM J. Appl. Math., 80:232-261, 2020 (supported by PolyU 153031/17P).
31. H.Y. Jin and Z. Wang
    Global stabilization of the full attraction-repulsion Keller-Segel system,
    Disc. Cont. Dyn. Syst., 40:3509-3527,2020. (special volume for W-.M. Ni's 70th birthday)(supported by PolyU 5091/13P).
32. J. Wang, Z. Wang and W. Yang
    Uniqueness and convergence on equilibria of the Keller-Segel system with subcritical mass,
    Comm. Partial Differential Equations, 44:545-572, 2019 (supported by internal grant PolyU 153041/15P).
33. L.G. Rebholz, D. Wang. Z. Wang, K. Zhao and C. Zerfas
    Initial boundary value problems for a system of parabolic conservation laws arising from chemotaxis in multi-dimensions,
    Disc. Cont. Dyn. Syst., 39:3789-3838, 2019 (supported by PolyU 153031/17P).
34. Q. Hou and Z.A. Wang
    Convergence of boundary layers for the Keller-Segel system with singular sensitivity in the half-plane,
    J. Math. Pures Appl., 130:251-287, 2019 (supported by PolyU 153031/17P).
35. C. Li, R. Peng and Z.A. Wang
    On a diffusive SIS epidemic model with mass action mechanism and birth-death effect: analysis, simulations and comparison with other mechanisms,
    SIAM J. Appl. Math., 78:2129-2153, 2018 (supported by PolyU153298/16P).
36. H.Y. Jin, Y.-J. Kim and Z.A. Wang
    Boundedness, stabilization and pattern formation driven by density-suppressed motility,
    SIAM J. Appl. Math., 78:1632-1657, 2018. (published on June 2018, supported by PolyU 153032/15).
37. Q.Q. Hou, C.J. Liu, Y.G. Wang and Z.A. Wang
    Stability of boundary layers for a viscous hyperbolic system arising from chemotaxis: one dimensional case,
    SIAM J. Math. Anal., 50:3058-3091, 2018. (published on June 2018, supported by PolyU 153032/15P)
38. V. Martinez, Z.A. Wang and K. Zhao
    Asymptotic and viscous stability of large-amplitude solutions of a hyperbolic system arising from biology,
    Indiana Univ. Math. J., 67:1383-1424, 2018 (supported by PolyU 153032/15P).
39. H.Y. Peng and Z.A. Wang
    Nonlinear stability of strong traveling waves for the singular Keller-Segel system with large perturbations,
    J. Differential Equations, 265: 2577-2613, 2018. (published on September 2018, supported by PolyU 153032/15P)
40. H.Y. Jin and Z.A. Wang
    A dual-gradient chemotaxis system modeling the spontaneous aggregation of microglia in Alzheimer's disease,
    Analysis and Applications, 16:307-338, 2018. (published on May 2018, supported by PolyU 5091/13P)
41. H. Peng, Z.A. Wang, K. Zhao and C.J. Zhu
    Boundary layers and stabilization of the singular Keller-Segel system,
    Kinetic and Related Models, 11: 1085-1123, 2018. (published on October 2018, supported by PolyU 153032/15P)
42. H.Y. Jin and Z.A. Wang
    Global stability of prey-taxis systems,
    J. Differential Equations, 262:1257-1290, 2017. (published on October 2016, supported by PolyU 153298/16P)
43. M. Ma and Z.A. Wang
    Patterns in a generalized volume-filling chemotaxis model with cell proliferation,
    Analysis and Applications, 15:83-106, 2017. (published on September 2015, supported by G-YBCS, A-PL15 and PolyU 153032/15P) .
44. Q.Q. Hou, Z.A. Wang and K. Zhao
    Boundary layer problem on a hyperbolic system arising from chemotaxis,
    J. Differential Equations, 261:5035-5070, 2016.
45. Z.A. Wang, Z. Xiang and P. Yu
    Asymptotic dynamics on a singular chemotaxis system modeling onset of tumor angiogenesis,
    J. Differential Equations, 260:2225-2258, 2016.
46. H. Jin and Z.A. Wang
    Boundedness, blowup and critical mass phenomenon in competing chemotaxis,
    J. Differential Equations, 260:162-196, 2016.
47. M. Ma and Z.A. Wang
    Global bifurcation and stability of steady states for a reaction-diffusion-chemotaxis model with volume-filling effect,
    Nonlinearity, 28: 2639-2660, 2015.
48. M. Mei, H. Peng and Z.A. Wang
    Asymptotic profile of a parabolic-hyperbolic system with boundary effect arising from tumor angiogenesis,
    J. Differential Equations, 259: 5168-5191, 2015.
49. W. Ding and Z.A. Wang
    Global existence and asymptotic behavior of the Boussinesq-Burgers system,
    J. Math. Anal. Appl., 424: 584-597, 2015.
50. S.B. Ai and Z.A. Wang
    Traveling bands for the Keller-Segel model with population growth,
    Mathematical Biosciences and Engineering, 12:717-737, 2015.
51. S.B. Ai, W.Z. Huang and Z.A. Wang
    Reaction, diffusion and chemotaxis in wave propagation,
    Discrete Contin. Dyn. Syst.-Series B, 21(1):1-21, 2015.
52. H.Y. Jin, Z.A. Wang and L. Xiong
    Cauchy problem of the Magnetohydrodynamic Burgers (MHD-Burgers) system,
    Commu. Math. Sci., 13(1): 127-151, 2015.
53. H.Y. Jin and Z.A. Wang
    Asymptotic dynamics of the one-dimensional attraction-repulsion Keller-Segel model,
    Math. Methods Appl. Sci., 38:444-457, 2015 .
54. J. Li. T. Li and Z.A. Wang
    Stability of traveling waves of the Keller-Segel system with logarithmic sensitivity,
    Math. Models Methods Appl. Sci., 24(14): 2819-2849, 2014.
55. T.C. Lin and Z.A. Wang
    Development of traveling waves in an interacting two-species chemotaxis model,
    Discrete Contin. Dyn. Syst., 34(7):2907-2927, 2014.
56. P. Liu, J.P. Shi and Z.A. Wang
    Pattern formation of the attraction-repulsion Keller-Segel system,
    Discrete Contin. Dyn. Syst-Series B, 18(10): 2597-2625, 2013.
57. H.Y. Jin, J. Li and Z.A. Wang
    Asymptotic stability of traveling waves of a chemotaxis model with singular sensitivity,
    J. Differential Equations, 255:193-219, 2013 .
58. Z.A. Wang and K. Zhao
    Global dynamics and diffusion limit of a one-dimensional repulsive chemotaxis model,
    Comm. Pure Appl. Anal., 12(6): 3027-3046, 2013.
59. Z.A. Wang
    Mathematics of traveling waves in chemotaxis,
    Discrete Contin. Dyn. Syst-Series B.,18(3): 601-641, 2013.
60. Y.S. Tao, L.H. Wang and Z.A. Wang
    Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension,
    Discrete Contin. Dyn. Syst-Series B., 18(3): 821-845, 2013.
61. Y.S. Tao and Z.A. Wang
    Competing effects of attraction vs. repulsion in chemotaxis,
    Math. Models Methods Appl. Sci., 23: 1-36, 2013.
62. Z.A. Wang, M. Winkler and D. Wrzosek
    Global regularity vs. infinite-time singularity formation in a chemotaxis model with volume filling effect and degenerate diffusion,
    SIAM J. Math. Anal., 44: 3502-3525, 2012.
63. T. Li and Z.A. Wang
    Steadily propagating waves of a chemotaxis model,
    Mathematical Biosciences, 240: 161-168, 2012
64. M.J. Ma, C.H. Ou and Z.A. Wang
    Stationary solutions of a volume filling chemotaxis model with logistic growth and their stability,
    SIAM J. Appl. Math., 72: 740-766, 2012.
65. Z.A. Wang
    Wavefront of an angiogenesis model,
    Discrete Contin. Dyn. Syst-Series B., 17(8): 2849-2860, 2012.
66. Z.A. Wang, M. Winkler and D. Wrzosek
    Singularity formation in chemotaxis systems with volume-filling effect,
    Nonlinearity, 24: 3279-3297, 2011.
67. J. Liu and Z.A. Wang
    Classical solutions and steady states of an attraction-repulsion chemotaxis model in one dimension,
    J. Biol. Dyn, 6: 31-41, 2012 .
68. T. Li and Z.A. Wang
    Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis,
    J. Differential Equations, 250: 1310-1333, 2011.
69. T. Li and Z.A. Wang
    Nonlinear stability of large amplitude viscous shock waves of a hyperbolic-parabolic system arising in chemotaxis,
    Math. Models Methods. Appl. Sci., 20: 1967-1998, 2010.
70. Z.A. Wang
    On chemotaxis models with cell population interactions,
    Math. Model Nat. Phenom.,5:173-190, 2010
71. R. Lui and Z.A. Wang
    Traveling wave solutions from microscopic to macroscopic chemotaxis models,
    J. Math. Biol, 61: 739-761, 2010.
72. T. Hillen, P. Hinow and Z.A. Wang
    Mathematical analysis of a kinetic model for cell movement in network tissues,
    Discrete Contin. Dyn. Syst-Series B, 14:1055-1080, 2010.
73. Y.S. Choi and Z.A. Wang
    Prevention of blow up in chemotaxis by fast diffusion,
    J. Math. Anal. Appl., 362: 553-564, 2010.
74. T. Li and Z.A. Wang
    Nonlinear stability of traveling waves to a hyperbolic-parabolic system modeling chemotaxis,
    SIAM J. Appl. Math., 70: 1522-1541, 2009.
75. Z.A. Wang, T. Hillen and M. Li
    Mesenchymal motion models in one dimension,
    SIAM J. Appl. Math., 69: 375-397, 2008.
76. Z.H. Guo, M.N. Jiang, Z.A. Wang and G.F. Zheng
    Existence of global weak solutions to the Camassa-Holm equation,
    Discrete Contin. Dyn. Syst., 21: 883-906, 2008.
77. Z.A. Wang and T. Hillen
    Shock formation in a chemotaxis model,
    Math. Methods. Appl. Sci., 31: 45-70, 2008.
78. Z.A. Wang and T. Hillen
    Classical solutions and pattern formation for a volume filling chemotaxis model,
    Chaos 17, 037108, 2007.
79. Z.A. Wang and H. Sang
    Asymptotic profile to the nonlinear dissipative evolution equations with conservation form ,
    Math. Methods. Appl. Sci., 20): 977-994, 2007.
80. Z.A. Wang
    Optimal convergence rates toward diffusion wave of solutions to non-linear evolution equations with conservational form,
    J. Math. Anal. Appl., 319: 740-763, 2006.
81. Z.A. Wang
    Optimal decay rates of solutions to dissipative nonlinear evolution equations with ellipticity,
    Z. Angew. Math. Phys., 57: 399-418, 2006.
82. Z.A. Wang
    Large time behaviors of solutions for a dissipative nonlinear evolution system with conservation form,
    J. Phys. A: Math. Gen., 38: 10955-10969, 2005.
83. C.J. Zhu and Z.A. Wang
    Decay rates of solutions to dissipative nonlinear evolution equations with ellipticity,
    Z. Angew. Math. Phys., 55: 994-1014, 2004.
84. Z.A. Wang, C.J. Zhu
    Stability of the rarefaction wave for the generalized KdV-Burgers equation,
    Acta Math Scientia., 22B(3): 319-328, 2002.