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2001-2009
1、Shengqiang Liu*, Lansun Chen, Profitless delays for extinction in nonautonomous Lotka-Volterra system, Communication in Nonlinear Science & Simulation, 6(2001):165-170.
2、Shengqiang Liu, Lansun Chen*, Permanence, extinction and balancing survival in nonautonomous Lotka-Volterra system with delays, Applied Mathematics and Computation, 129(2002): 481–499.
3、Shengqiang Liu*, Lansun Chen, Guilie Luo, Extinction and permanence in competitive stage structured system with time delays, Nonlinear Analysis TMA, 51(2002), 1347–1361.
4、Shengqiang Liu*, Lansun Chen，Necessary-sufficient conditions for permanence and extinction in Lotka-Volterra system with discrete delays, Applicable Analysis, 2002(81), 575–587.
5、Shengqiang Liu*, Lansun Chen, Guilie Luo, Youlin Jiang, Asymptotic behaviors of competitive Lotka-Volterra system with stage structure, Journal of Mathematical Analysis and Applications. 271(2002): 124–138.
6、Shengqiang Liu*, Lansun Chen, Zhuojun Liu, Extinction and permanence in nonautonomous competitive system with stage structure, Journal of Mathematical Analysis and Applications, 2002(274): 667–684.
7、Shengqiang Liu, Lansun Chen, Ravi Agarwal, Recent Progress on State-structured Population Dynamics, Mathematical and Computer Modelling, 2002(36): 1319–1360(42 pages).
8、Shengqiang Liu*, Lansun Chen, Necessary-sufficient conditions for permanence and extinction in Lotka-Volterra system with distribute delays, Applied Mathematics & Letters, 16 (2003): 911–917.
9、Shengqiang Liu*, Lansun Chen, Ravi Agarwal, Harmless and profitless delays in the discrete Lotka-Volterra systems, Applicable Analysis, 2004(83): 411–431.
10、Shengqiang Liu*, Mahieddine Kouche, Nasser-eddine Tatar, Permanence and Global Asymptotic Stability in a Stage Structured System with Distributed Delays, Journal of Mathematical Analysis and Applications, 301(2005): 187–207.
11、Shengqiang Liu*, Edoardo Beretta, Competitive Systems With Stage Structure of Distributed -delay Type, Journal of Mathematical Analysis and Applications, 323 (2006), 331–343,
12、*Eva Kisdi, Shengqiang Liu, Evolution of handling time can destroy the coexistence of cycling predators,Journal of Evolutional Biology, 19(2006): 49–58.
13、Shengqiang Liu*, Edoardo Beretta, Stage-structured Predator-prey Model with the Beddington-DeAngelis functional response, SIAM Journal on Applied Mathematics, 66(2006): 1101–1129.
14、Ping Yan, Shengqiang Liu*, SEIR epidemic model with delay, ANZIAM Journal, 48(2006) : 119–134,
15、Shengqiang Liu*, Zhuojun Liu, Permanence of General Stage -structured Consumer-resource Models, Journal of Computational and Applied Mathematics, 201 (2007) 381–388,
16、Shengqiang Liu*, Zhuojun Liu, Jianliang Tang, A Delayed Marine Bacteriophage Infection Model, Applied Mathematics & Letters, 20 (2007) 702–706,
17、Shengqiang Liu*, Jianhua Zhang, Coexistence and stability of predator–prey model with Beddington–DeAngelis functional response and stage structure, Journal of Mathematical Analysis and Applications, 342 (2008) 446–460,
18、Mahieddine Kouche*, Nasser-eddine Tatar, Shengqiang Liu, Permanence and Existence of a Positive Periodic Solution to a Periodic Stage-Structured System with Infinite Delay, Applied mathematics and computation, 202(2008), 620–638.
19、Rui Peng*, Shengqiang Liu, Global stability of the steady states of an SIS epidemic reaction–diffusion model, Nonlinear Analysis: Theory, Methods & Applications, 71 (2009) 239-247.
2010
20、Xiaohong Lai, Shengqiang Liu*, Rongzhen Lin, Rich Dynamical Behaviors for Predator-prey Model with Weak Allee Effect, Applicable Analysis, 89( 2010) 1271–1292.
21、Shengqiang Liu*, Edoardo Beretta, Dimitri Breda, Predator-prey model of Beddington-DeAngelis type with maturation and gestation delays, Nonlinear Analysis: Real World Applications, 11(2010), 4072–4091
22、Shengqiang Liu*, Lin Wang, Global Stability of an HIV-1 Model with Distributed Intracellular Delays and a Combination Therapy, Mathematical Biosciences and Engineering, 7(2010). 675–685.
23、Shengqiang Liu, Asymptotical Behaviors of Nonautonomous Discrete Kolmogorov System with Time Lags, Advances in Difference Equations, (2010) ID: 517378, 1–19
2011
24、Shengqiang Liu*, Shaokai Wang, Lin Wang, Global dynamics of delay epidemic models with nonlinear incidence rate and relapse, Nonlinear Analysis: Real World Applications, 12(2011) 119–127。
25、Jinliang Wang, Huang G, Takeuchi Y, Shengqiang Liu，SVEIR epidemiological model with varying infectivity and distributed delays，Mathematical Biosciences and Engineering, 8(2011): 875–888.
26、Jinliang Wang, Shengqiang Liu, Yasuhiro Takeuchi, Threshold dynamics in a periodic SVEIR epidemic model, International Journal of Biomathematics, 4(2011):1–17.
2012
27、Jinliang Wang*, Shengqiang Liu, Baowen Zheng, Yasuhiro Takeuchi, Qualitative and bifurcation analysis using an SIR model with a saturated treatment function, Mathematical and Computer Modelling, 55(2012): 710–722
28、Jianzhong Su*, Yunfeng Qi, Shengqiang Liu, Xueting Wu, Jie Lv, Hongbo Liu, Ruijie Zhang, Yan Zhang*, Revealing epigenetic patterns in gene regulation through integrative analysis of epigenetic interaction network, Molecular Biology Reports, (2012) 39:1701–1712.
29、Shengqiang Liu*, Xizhuang Xie, Jianliang Tang, Competing Population Model with Nonlinear Intraspecific Regulation and Maturation Delays，International Journal of Biomathematics,.5(2012): 1260007, DOI: 10.1142/S1793524512600078
30、Kasia A. Pawelek, Shengqiang Liu, Faranak Pahlevani, Libin Rong*, A model of HIV-1 infection with two time delays: mathematical analysis and comparison with patient data,Mathematical Biosciences, 235(2012): 98–109
31、Jianzhong Su*, Xiujuan Shao, Hongbo Liu, Shengqiang Liu, Qiong Wu, Yan Zhang*, Genome-wide dynamic changes of DNA methylation of repetitive elements in human embryonic stem cells and fetal fibroblasts, Genomics, 99 (2012): 10–17.
32、Xia Wang*, Shengqiang Liu, Global properties of a delayed SIR epidemic model with multiple parallel infectious stages, Mathematical Biosciences and Engineering, 9(2012): 685–695.
2013
33、Xia Wang*, Shengqiang Liu, A class of delayed viral models with saturation infection rate and immune response, Mathematical Methods in the Applied Sciences, 36(2013):125–142.
34、Rongzhen Lin, Shengqiang Liu*, Xiaohong Lai，Bifurcations of a Predator-prey System with Weak Allee effects，Journal of the Korean Mathematical Society, 50 (2013): 695–713.
35、Xia Wang,Yuefen Chen, Shengqiang Liu, Xinyu Song, A class of delayed virus dynamics models with multiple target cells, Computational and Applied Mathematics, 32 (2013): 211–229.
36、Xia Wang, Shengqiang Liu, Xinyu Song*, Dynamics of a non-autonomous HIV-1 infection model with delays, International Journal of Biomathematics, 6(2013) No.5, DOI: 10.1142/S1793524513500307
37、Bing Li, Shengqiang Liu*, A delayed HIV-1 model with multiple target cells and general nonlinear incidence rate, Journal of Biological Systems, 21(2013) No.4,
2014
38、Yang Gao, Shengqiang Liu*, Global stability for a predator-prey model with dispersal among patches, Abstract and Applied Analysis, vol. 2014, Article ID 176493, 2014. Link: http://dx.doi.org/10.1155/2014/176493
39、Xia Wang, Shengqiang Liu*, Libin Rong, Permanence and extinction of a non-autonomous HIV-1 model with time delays, Discrete and Continuous Dynamical System-B, 19(2014) No.6: 1783–1800.
40、Xinxin Wang, Shengqiang Liu*, An epidemic model with different distributed latencies and nonlinear incidence rate, Applied Mathematics and Computation, 241(2014): 259–266.
41、Shengqiang Liu*, Xinxin Wang, Lin Wang, Haitao Song, Competitive exclusion in delayed chemostat models with differential removal rates, SIAM Journal on Applied Mathematics, 74(2014) No.3: 634–648.
42、Haitao Song*, Shengqiang Liu, Weihua Jiang, Jinliang Wang, Global stability and periodic oscillations for an SIV infection model with immune response and intracellular delays, Applied Mathematical Modelling, 38(2014): 6108--6121.
2015
43、Haitao Song, Weihua Jiang*, Shengqiang Liu, Virus Dynamics model with intracellular delays and immune response, Mathematical Biosciences and Engineering, 12(2015): 185--208.
44、Xia Wang, Shengqiang Liu*, Xinyu Song, A within-host virus model with multiple infected stages under time-varying environments, Applied Mathematics and Computation, 266(2015):119--134.
45、Xuejuan Lu, Lulu Hui, Shengqiang Liu*,Jia Li, A Mathematical model of HTLV-1 infection with two time delays, Mathematical Biosciences and Engineering, 12(2015): 431-449.
46、Jinliang Wang, Shengqiang Liu*, The stability analysis of a general viral infection model with distributed delays and multi-staged infected progression, Communications in Nonlinear Science and Numerical Simulation, 20 (2015): 263-272.
47、Wonlyul Ko, Inkyung Ahn*, Shengqiang Liu, Asymptotical behaviors of a general diffusive consumer-resource model with maturation delay, Discrete and Continuous Dynamical System-B, 20(2015): 1715-1733.
48、Xinxin Wang, Shengqiang Liu*, Lin Wang, Weiwei Zhang, An epidemic patchy model with entry-exit screening, Bulletin of Mathematical Biology, 77(2015): 1237-1255.
49、Haitao Song, Shengqiang Liu*, Global stability for disease model with general relapse phenomenon, Acta Mathematicae Applicatae Sinica,Chinese Series, 40(2017): 37-48.
50、Dan Li, Jing@#%an Cui, Meng Liu, Shengqiang Liu*, The evolutionary dynamics of stochastic epidemic model with nonlinear incidence rate, Bulletin of Mathematical Biology, 77(2015): 1705-1743.
2016
51、Bing Li, Yuming Chen, Xuejuan Lu, Shengqiang Liu*, A delayed HIV-1 model with virus waning term, Mathematical Biosciences and Engineering, 13(2016): 135--157.
52、Haitao Song, Weihua Jiang, Shengqiang Liu*, Global dynamics of two heterogenous SIR models with nonlinear incidence and delays, International Journal of Biomathematics, 9(2016): 1650046.
53、Tianhu Yu, Dengqing Cao*, Shengqiang Liu, Huatao Chen, Stability analysis of neural networks with periodic coefficients and piecewise constant arguments, Journal of The Franklin Institute, 353(2016): 409–425.
54、Tianhu Yu, Dengqing Cao*, Yang Yang, Shengqiang Liu, Wenhu Huang, Robust synchronization of impulsively coupled complex dynamical network with delayed nonidentical nodes, Chaos, Solitons and Fractals, 87(2016): 92–101.
55、Kasia A. Pawelek*, Shengqiang Liu, Madhuri U. Lolla, Modeling the spread of Hookworm Disease and assessing chemotherapy programs: mathematical analysis and comparison with surveillance data, Journal of Biological Systems, 24(2016): 1–25.
56、Yang Lu, Dan Li, Shengqiang Liu*, Modeling of hunting strategies of the predators in susceptible and infected prey, Applied Mathematics and Computation, 284(2016): 268–285.
57、Bing Li, Shengqiang Liu*, Jing’an Cui and Jia Li*, A Simple Predator-Prey Population Model with Rich Dynamics, Applied Sciences, 2016, 6(5), 151. http://dx.doi.org/10.3390/app6050151
2017
58、Haitao Song*, Shengqiang Liu, Weihua Jiang, Global dynamics of a multistage SIR model with distributed delays and nonlinear incidence rate, Mathematical Methods in the Applied Sciences, 40(2017): 2153–2164.
59、Xia Wang, Shengqiang Liu*, Hongjian Guo, Anosocomial-pathogens-infections model with impulsive antibiotics treatment on multiple bacteria, Applied Mathematics and Computation, 296 (2017): 64–87.
60、Yang Lu, Kasia A. Pawelek, Shengqiang Liu*, A stage-structured predator-prey model with predation over juvenile prey, Applied Mathematics and Computation, 297 (2017) 115–130.
61、Xuejuan Lu, Shaokai Wang, Shengqiang Liu*, Jia Li, An SEI infection model incorporating media impact, Mathematical Biosciences and Engineering,14(2017): 1317--1335.
62、Jinliang Wang, Min Guo, Shengqiang Liu*, SVIR epidemic model with age structure in susceptibility, vaccination effects and relapse, IMA Journal of Applied Mathematics, 82(2017): 945–970
63、Dan Li, Shengqiang Liu*, Jing'an Cui, Threshold dynamics and ergodicity of an SIRS epidemic model with Markovian switching, Journal of Differential Equations, 263(2017): 8873--8915.
2018
64、Xia Wang*, Yuming Chen, Shengqiang Liu*, Dynamics of an age-structured host-vector model for malaria transmission, Mathematical Methods in the Applied Sciences, 41(2018): 1966–1987, https://doi.org/10.1002/mma.4723
65、Yang Lu, Xia Wang, Shengqiang Liu*, A non-autonomous eco-epidemic model with infected prey, Discrete and Continuous Dynamical System-B, 23(2018): 3817-3836
66、Xia Wang*, Yuming Chen, Shengqiang Liu, Global dynamics of a vector-borne disease model with infection ages and general incidence rates, Computational and Applied Mathematics, 37(2018): 4055–4080, https://doi.org/10.1007/s40314-017-0560-8
67、Tianhu Yu, Dengqing Cao, Shengqiang Liu*, Epidemic model with group mixing: stability and optimal control based on limited vaccination resources, Communications in Nonlinear Science and Numerical Simulation, 61(2018): 54–70.
68、Yang Lu, Shengqiang Liu*, Threshold dynamics of a predator-prey model with age-structured prey, Advances in Difference Equations, (2018) 2018: 164. https://doi.org/10.1186/s13662-018-1614-y.
2019
69、Dan Li, Shengqiang Liu*, Jing'an Cui, Threshold dynamics and ergodicity of an SIRS epidemic model with semi-Markov switching, Journal of Differential Equations, 266(2019): 3973-4017
70、Tianhu Yu,Shengqiang Liu, Huamin Wang*, Dengqing Cao, Robust delay-dependent stability of uncertain inertial neural networks with impulsive e
ects and distributed delay, International Journal of Biomathematics, 12(2019),No. 01, 1950010. Link : https://doi.org/10.1142/S1793524519500104
71、Ran Zhang, Shengqiang Liu*, Traveling waves for SVIR epidemic model with nonlocal dispersal,Mathematical Biosciences and Engineering, 16(2019): 1654-1682
72、Ran Zhang, Dan Li, Shengqiang Liu*, Global analysis of an age-structured SEIR model with immigration of population and nonlinear incidence rate, Journal of Applied Analysis and Computation，9(2019): 1-23
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