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## Zhao, Xiao-Qiang

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 Author ID: zhao.xiao-qiang Published as: Zhao, Xiao-Qiang; Zhao, Xiaoqiang; Zhao, X.-Q. Homepage: https://www.mun.ca/math/people/ppl-faculty/xzhao.php External Links: MGP
 Documents Indexed: 193 Publications since 1986, including 3 Books
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#### Co-Authors

 28 single-authored 10 Fang, Jian 8 Hsu, Szebi 8 Liang, Xing 8 Smith, Hal Leslie 8 Wang, Wendi 7 Lou, Yijun 7 Peng, Rui 7 Wang, Feng-Bin 5 Jin, Yu 5 Li, Fuxiang 5 Xu, Dashun 4 Wang, Xiunan 4 Wu, Jianhong 4 Wu, Ruiwen 4 Xiao, Dongmei 4 Yu, Xiao 4 Zhang, Yuxiang 4 Zhou, Peng 3 Bai, Zhenguo 3 Ou, Chunhua 3 Wang, Jiabing 3 Wei, Junjie 2 Ding, Weiwei 2 Freedman, Herbert Irving 2 Hamel, François 2 Jiang, Jifa 2 Li, Wan-Tong 2 Liu, Luju 2 Liu, Xianning 2 Ma, Manjun 2 Mei, Ming 2 Shen, Wenxian 2 Sleeman, Brian D. 2 Thieme, Horst R. 2 Wang, Bin’guo 2 Wang, Xueying 2 Weng, Peixuan 2 White, Michael Christopher 2 Wu, Chufen 2 Zhang, Fang 2 Zhang, Guobao 2 Zhang, Kate Fang 2 Zou, Xingfu 1 Brunner, Hermann 1 Chen, Wendeng 1 Du, Yihong 1 Guo, Songbai 1 He, Xuezhong 1 Hirsch, Morris W. 1 Hu, Qingwen 1 Hutson, Vivian 1 Jing, Zhujun 1 Liu, Junli 1 Liu, Xiuxiang 1 Lou, Yuan 1 Ma, Shiwang 1 Ma, Wanbiao 1 Magal, Pierre 1 Mierczyński, Janusz 1 Qiang, Lizhong 1 Qin, Yuanxun 1 Ruan, Shigui 1 Tian, Yanling 1 Tsai, Je-Chiang 1 Wang, Jin 1 Wang, Qiru 1 Wang, Xiangsheng 1 Wang, Yejuan 1 Wang, Yi 1 Wang, Zhen 1 Weinberger, Hans Felix 1 Wolkowicz, Gail S. K. 1 Xu, Zhiting 1 Xu, Zhuye 1 Yi, Fengqi 1 Yi, Taishan 1 Yi, Yingfei 1 Yu, Yuan-hong 1 Yu, Zhixian 1 Zhang, Qianying 1 Zhang, Tailei 1 Zhou, Shengfan 1 Zhou, Yicang
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#### Serials

 31 Journal of Differential Equations 17 Journal of Dynamics and Differential Equations 11 SIAM Journal on Applied Mathematics 10 Journal of Mathematical Analysis and Applications 10 Discrete and Continuous Dynamical Systems. Series B 9 Journal of Mathematical Biology 8 SIAM Journal on Mathematical Analysis 6 Bulletin of Mathematical Biology 5 Nonlinearity 5 The Canadian Applied Mathematics Quarterly 4 Proceedings of the American Mathematical Society 4 Acta Mathematicae Applicatae Sinica. English Series 4 Journal of Nonlinear Science 4 Calculus of Variations and Partial Differential Equations 4 Discrete and Continuous Dynamical Systems 4 SIAM Journal on Applied Dynamical Systems 3 Journal of Functional Analysis 2 Communications on Pure and Applied Mathematics 2 Mathematical Biosciences 2 Acta Mathematicae Applicatae Sinica 2 Annals of Differential Equations 2 Differential and Integral Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Nonlinear Analysis. Real World Applications 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Mathematical Biosciences and Engineering 2 CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC 2 Journal of Biological Dynamics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 IMA Journal of Applied Mathematics 1 Bulletin of the London Mathematical Society 1 Indiana University Mathematics Journal 1 Journal für die Reine und Angewandte Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the American Mathematical Society 1 Mathematical and Computer Modelling 1 Science in China. Series A 1 Applied Mathematical Modelling 1 Chinese Science Bulletin 1 Nonlinear World 1 Pure and Applied Mathematics 1 Communications on Applied Nonlinear Analysis 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Evolution Equations 1 Journal of Lanzhou University of Technology 1 Fields Institute Communications 1 Mathematical Modelling of Natural Phenomena 1 International Journal of Qualitative Theory of Differential Equations and Applications
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#### Fields

 149 Biology and other natural sciences (92-XX) 117 Partial differential equations (35-XX) 79 Ordinary differential equations (34-XX) 75 Dynamical systems and ergodic theory (37-XX) 8 Integral equations (45-XX) 8 Numerical analysis (65-XX) 5 Difference and functional equations (39-XX) 4 Operator theory (47-XX) 3 General and overarching topics; collections (00-XX) 3 Probability theory and stochastic processes (60-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

166 Publications have been cited 5,012 times in 2,114 Documents Cited by Year
Asymptotic speeds of spread and traveling waves for monotone semiflows with applications. Zbl 1106.76008
Liang, Xing; Zhao, Xiao-Qiang
2007
Threshold dynamics for compartmental epidemic models in periodic environments. Zbl 1157.34041
Wang, Wendi; Zhao, Xiao-Qiang
2008
Global attractors and steady states for uniformly persistent dynamical systems. Zbl 1128.37016
Magal, Pierre; Zhao, Xiao-Qiang
2005
Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction–diffusion models. Zbl 1045.45009
Thieme, Horst R.; Zhao, Xiao-Qiang
2003
Dynamical systems in population biology. Zbl 1023.37047
Zhao, Xiao-Qiang
2003
Basic reproduction numbers for reaction-diffusion epidemic models. Zbl 1259.35120
Wang, Wendi; Zhao, Xiao-Qiang
2012
An epidemic model in a patchy environment. Zbl 1048.92030
Wang, Wendi; Zhao, Xiao-Qiang
2004
Robust persistence for semidynamical systems. Zbl 1042.37504
Smith, Hal L.; Zhao, Xiao-Qiang
2001
A periodic epidemic model in a patchy environment. Zbl 1101.92046
Zhang, Fang; Zhao, Xiao-Qiang
2007
Spreading speeds and traveling waves for abstract monostable evolution systems. Zbl 1201.35068
Liang, Xing; Zhao, Xiao-Qiang
2010
Global asymptotic stability of traveling waves in delayed reaction-diffusion equations. Zbl 0941.35125
Smith, Hal L.; Zhao, Xiao-Qiang
2000
A reaction-diffusion malaria model with incubation period in the vector population. Zbl 1232.92057
Lou, Yijun; Zhao, Xiao-Qiang
2011
A reaction-diffusion SIS epidemic model in a time-periodic environment. Zbl 1250.35172
Peng, Rui; Zhao, Xiao-Qiang
2012
Spreading speeds and traveling waves for periodic evolution systems. Zbl 1105.37017
Liang, Xing; Yi, Yingfei; Zhao, Xiao-Qiang
2006
Chain transitivity, attractivity, and strong repellors for semidynamical systems. Zbl 1129.37306
Hirsch, Morris W.; Smith, Hal L.; Zhao, Xiao-Qiang
2001
Spreading speeds and traveling waves for nonmonotone integrodifference equations. Zbl 1160.37031
Hsu, Sze-Bi; Zhao, Xiao-Qiang
2008
Fisher waves in an epidemic model. Zbl 1097.34022
Zhao, Xiao-Qiang; Wang, Wendi
2004
A nonlocal and time-delayed reaction-diffusion model of dengue transmission. Zbl 1228.35118
Wang, Wendi; Zhao, Xiao-Qiang
2011
Spreading speed and traveling waves for a multi-type SIS epidemic model. Zbl 1126.35080
Weng, Peixuan; Zhao, Xiao-Qiang
2006
Global asymptotic behavior in some cooperative systems of functional differential equations. Zbl 0888.34038
Zhao, Xiaoqiang; Jing, Zhujun
1996
A non-local delayed and diffusive predator-prey model. Zbl 1113.92319
Thieme, Horst R.; Zhao, Xiao-Qiang
2001
Traveling waves for monotone semiflows with weak compactness. Zbl 1315.35051
Fang, Jian; Zhao, Xiao-Qiang
2014
Bistable traveling waves for monotone semiflows with applications. Zbl 1352.37072
Fang, Jian; Zhao, Xiao-Qiang
2015
Uniform persistence and periodic coexistence states in infinite-dimensional periodic semiflows with applications. Zbl 0849.34034
Zhao, Xiao-Qiang
1995
Global stability of monostable traveling waves for nonlocal time-delayed reaction-diffusion equations. Zbl 1228.35043
Mei, Ming; Ou, Chunhua; Zhao, Xiao-Qiang
2010
A climate-based malaria transmission model with structured vector population. Zbl 1221.34224
Lou, Yijun; Zhao, Xiao-Qiang
2010
Existence and uniqueness of traveling waves for non-monotone integral equations with applications. Zbl 1203.45003
Fang, Jian; Zhao, Xiao-Qiang
2010
The diffusive logistic model with a free boundary and seasonal succession. Zbl 1273.35327
Peng, Rui; Zhao, Xiao-Qiang
2013
Monotone wavefronts of the nonlocal Fisher-KPP equation. Zbl 1231.35034
Fang, Jian; Zhao, Xiao-Qiang
2011
A tuberculosis model with seasonality. Zbl 1191.92027
Liu, Luju; Zhao, Xiao-Qiang; Zhou, Yicang
2010
Basic reproduction ratios for periodic compartmental models with time delay. Zbl 1365.34145
Zhao, Xiao-Qiang
2017
The qualitative analysis of $$n$$-species Lotka-Volterra periodic competition systems. Zbl 0756.34048
Zhao, Xiao-Qiang
1991
An age-structured epidemic model in a patchy environment. Zbl 1072.92045
Wang, Wendi; Zhao, Xiao-Qiang
2005
Global attractivity in a class of nonmonotone reaction-diffusion equations with time delay. Zbl 1213.35119
Zhao, Xiao-Qiang
2009
Dynamical systems in population biology. 2nd edition. Zbl 1393.37003
Zhao, Xiao-Qiang
2017
Spreading speeds and travelling waves for non-monotone time-delayed lattice equations. Zbl 1190.35222
Fang, Jian; Wei, Junjie; Zhao, Xiao-Qiang
2010
Dynamics of a periodically pulsed bio-reactor model with a hydraulic storage zone. Zbl 1242.35208
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
2011
The asymptotic speed of spread and traveling waves for a vector disease model. Zbl 1114.45001
Zhao, Xiao-Qiang; Xiao, Dongmei
2006
Global dynamics of a Lotka-Volterra competition-diffusion-advection system in heterogeneous environments. Zbl 1458.35224
Lou, Yuan; Zhao, Xiao-Qiang; Zhou, Peng
2019
Spatiotemporal patterns in a reaction-diffusion model with the Degn-Harrison reaction scheme. Zbl 1270.35090
Peng, Rui; Yi, Feng-Qi; Zhao, Xiao-Qiang
2013
Global dynamics of zooplankton and harmful algae in flowing habitats. Zbl 1286.35129
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
2013
Spatial dynamics of a nonlocal and time-delayed reaction-diffusion system. Zbl 1180.35536
Fang, Jian; Wei, Junjie; Zhao, Xiao-Qiang
2008
Global attractivity and stability in some monotone discrete dynamical systems. Zbl 0847.34055
Zhao, Xiao-Qiang
1996
Persistence and extinction in two species reaction-diffusion systems with delays. Zbl 0936.35092
Ruan, Shigui; Zhao, Xiao-Qiang
1999
Spatial dynamics of a periodic population model with dispersal. Zbl 1161.92047
Jin, Yu; Zhao, Xiao-Qiang
2009
A nonlocal reaction-diffusion population model with stage structure. Zbl 1079.92055
Xu, Dashun; Zhao, Xiao-Qiang
2003
Dynamics of a periodically pulsed bio-reactor model. Zbl 0930.35085
Smith, Hal L.; Zhao, Xiao-Qiang
1999
Global attractivity in monotone and subhomogeneous almost periodic systems. Zbl 1023.37043
Zhao, Xiao-Qiang
2003
Erratum: Asymptotic speeds of spread and traveling waves for monotone semiflows with applications. Zbl 1165.37332
Liang, Xing; Zhao, Xiao-Qiang
2008
Traveling waves and spreading speeds for time-space periodic monotone systems. Zbl 1398.35116
Fang, Jian; Yu, Xiao; Zhao, Xiao-Qiang
2017
$$N$$-species competition in a periodic chemostat. Zbl 1005.92027
Wolkowicz, Gail S. K.; Zhao, Xiao-Qiang
1998
Global asymptotics in some quasimonotone reaction-diffusion systems with delays. Zbl 0885.35050
Freedman, H. I.; Zhao, Xiao-Qiang
1997
Threshold dynamics of a time periodic reaction-diffusion epidemic model with latent period. Zbl 1408.35088
Zhang, Liang; Wang, Zhi-Cheng; Zhao, Xiao-Qiang
2015
Kernel sections for processes and nonautonomous lattice systems. Zbl 1149.37040
Zhao, Xiao-Qiang; Zhou, Shengfan
2008
Saddle-point behavior for monotone semiflows and reaction-diffusion models. Zbl 1063.35083
Jiang, Jifa; Liang, Xing; Zhao, Xiao-Qiang
2004
Dynamics in a periodic competitive model with stage structure. Zbl 1077.37051
Xu, Dashun; Zhao, Xiao-Qiang
2005
Spatial dynamics of a nonlocal dispersal population model in a shifting environment. Zbl 1394.35240
Li, Wan-Tong; Wang, Jia-Bing; Zhao, Xiao-Qiang
2018
Monotone wavefronts for partially degenerate reaction-diffusion systems. Zbl 1180.35275
Fang, Jian; Zhao, Xiao-Qiang
2009
On a Lotka-Volterra competition model: the effects of advection and spatial variation. Zbl 1366.35088
Zhao, Xiao-Qiang; Zhou, Peng
2016
Bistable waves in an epidemic model. Zbl 1073.34027
Xu, Dashun; Zhao, Xiao-Qiang
2004
Convergence in monotone and uniformly stable skew-product semiflows with applications. Zbl 1151.37018
Jiang, Jifa; Zhao, Xiao-Qiang
2005
An epidemic model with population dispersal and infection period. Zbl 1094.92055
Wang, Wendi; Zhao, Xiao-Qiang
2006
Bistable pulsating fronts for reaction-diffusion equations in a periodic habitat. Zbl 1386.35201
Ding, Weiwei; Hamel, Francois; Zhao, Xiao-Qiang
2017
Diffusive monotonicity and threshold dynamics of delayed reaction diffusion equations. Zbl 1022.35082
Wu, Jianhong; Zhao, Xiao-Qiang
2002
A theoretical approach to understanding population dynamics with seasonal developmental durations. Zbl 1384.37116
Lou, Yijun; Zhao, Xiao-Qiang
2017
Threshold dynamics in a time-delayed periodic SIS epidemic model. Zbl 1166.92035
Lou, Yijun; Zhao, Xiaoqiang
2009
Asymptotic speed of spread and traveling waves for a nonlocal epidemic model. Zbl 1090.35089
Xu, Dashun; Zhao, Xiao-Qiang
2005
Asymptotic behaviour of a reaction-diffusion model with a quiescent stage. Zbl 1139.35058
Zhang, Kate Fang; Zhao, Xiao-Qiang
2007
Erratum to “Bistable waves in an epidemic model”. Zbl 1089.34026
Xu, Dashun; Zhao, Xiao-Qiang
2005
Evolution of passive movement in advective environments: general boundary condition. Zbl 1378.35172
Zhou, Peng; Zhao, Xiao-Qiang
2018
Basic reproduction ratios for periodic abstract functional differential equations (with application to a spatial model for Lyme disease). Zbl 1425.34086
Liang, Xing; Zhang, Lei; Zhao, Xiao-Qiang
2019
Asymptotic behaviour for asymptotically periodic semiflows with applications. Zbl 0873.58056
Zhao, Xiaoqiang
1996
Propagation phenomena for A reaction-advection-diffusion competition model in a periodic habitat. Zbl 1364.35391
Yu, Xiao; Zhao, Xiao-Qiang
2017
Time periodic traveling waves for a periodic and diffusive SIR epidemic model. Zbl 1384.35044
Wang, Zhi-Cheng; Zhang, Liang; Zhao, Xiao-Qiang
2018
Permanence and convergence in multi-species competition systems with delay. Zbl 0894.34062
Wu, Jianhong; Zhao, Xiao-Qiang
1998
A periodic vector-bias malaria model with incubation period. Zbl 1401.35188
Wang, Xiunan; Zhao, Xiao-Qiang
2017
A malaria transmission model with temperature-dependent incubation period. Zbl 1372.92113
Wang, Xiunan; Zhao, Xiao-Qiang
2017
Global asymptotic stability of minimal fronts in monostable lattice equations. Zbl 1149.35320
Ma, Shiwang; Zhao, Xiao-Qiang
2008
Spatial dynamics of a nonlocal and delayed population model in a periodic habitat. Zbl 1213.35115
Weng, Peixuan; Zhao, Xiao-Qiang
2011
Global asymptotic behavior in a periodic competitor-competitor-mutualist parabolic system. Zbl 0876.35058
Zhao, Xiaoqiang
1997
Traveling waves in a bio-reactor model. Zbl 1079.35011
Smith, Hal L.; Zhao, Xiao-Qiang
2004
A reaction-diffusion malaria model with seasonality and incubation period. Zbl 1390.35145
Bai, Zhenguo; Peng, Rui; Zhao, Xiao-Qiang
2018
Spatial dynamics of a nonlocal periodic reaction-diffusion model with stage structure. Zbl 1179.34031
Jin, Yu; Zhao, Xiao-Qiang
2009
Uniqueness and global stability of forced waves in a shifting environment. Zbl 1407.35116
Wang, Jia-Bing; Zhao, Xiao-Qiang
2019
Threshold dynamics in a delayed SIS epidemic model. Zbl 0988.92027
Zhao, Xiao-Qiang; Zou, Xingfu
2001
A nonlocal spatial model for Lyme disease. Zbl 1341.35173
Yu, Xiao; Zhao, Xiao-Qiang
2016
Effects of diffusion and advection on the principal eigenvalue of a periodic-parabolic problem with applications. Zbl 1331.35251
Peng, Rui; Zhao, Xiao-Qiang
2015
A vector-bias malaria model with incubation period and diffusion. Zbl 1254.35225
Xu, Zhiting; Zhao, Xiao-Qiang
2012
Basic reproduction ratios for almost periodic compartmental epidemic models. Zbl 1278.34054
Wang, Bin-Guo; Zhao, Xiao-Qiang
2013
Spatial invasion threshold of Lyme disease. Zbl 1335.35129
Wang, Wendi; Zhao, Xiao-Qiang
2015
Global stability for non-monotone delay equations (with application to a model of blood cell production). Zbl 1245.34082
Yuan, Yuan; Zhao, Xiao-Qiang
2012
Permanence in Kolmogorov periodic predator-prey models with diffusion. Zbl 0823.92031
Zhao, Xiao-Qiang; Hutson, Vivian
1994
The periodic Ross-Macdonald model with diffusion and advection. Zbl 1201.35070
Lou, Yijun; Zhao, Xiao-Qiang
2010
Spatial dynamics of some evolution systems in biology. Zbl 1182.35041
Zhao, Xiao-Qiang
2009
Uniqueness of traveling waves for nonlocal lattice equations. Zbl 1221.34212
Fang, Jian; Wei, Junjie; Zhao, Xiao-Qiang
2011
Dynamics of a time-delayed Lyme disease model with seasonality. Zbl 1365.35075
Wang, Xiunan; Zhao, Xiao-Qiang
2017
Bistable travelling waves in competitive recursion systems. Zbl 1229.92083
Zhang, Yuxiang; Zhao, Xiao-Qiang
2012
Global dynamics of a reaction and diffusion model for Lyme disease. Zbl 1252.35076
Zhao, Xiao-Qiang
2012
Competitive exclusion in a discrete-time, size-structured chemostat model. Zbl 1056.92059
Smith, H. L.; Zhao, X.-Q.
2001
Spreading speed and travelling waves for a spatially discrete SIS epidemic model. Zbl 1139.92023
Zhang, Kate Fang; Zhao, Xiao-Qiang
2008
Propagation dynamics of a nonlocal dispersal Fisher-KPP equation in a time-periodic shifting habitat. Zbl 1428.35174
Zhang, Guo-Bao; Zhao, Xiao-Qiang
2020
Propagation dynamics in a time periodic nonlocal dispersal model with stage structure. Zbl 1442.35211
Li, Wan-Tong; Wang, Jia-Bing; Zhao, Xiao-Qiang
2020
Mathematical modeling for schistosomiasis with seasonal influence: a case study in Hubei, China. Zbl 1445.37074
Zhang, Tailei; Zhao, Xiao-Qiang
2020
Propagation phenomena for a two-species Lotka-Volterra strong competition system with nonlocal dispersal. Zbl 1430.35137
Zhang, Guo-Bao; Zhao, Xiao-Qiang
2020
Propagation dynamics for monotone evolution systems without spatial translation invariance. Zbl 1446.35032
Yi, Taishan; Zhao, Xiao-Qiang
2020
A West Nile virus model with vertical transmission and periodic time delays. Zbl 1431.34078
Li, Fuxiang; Liu, Junli; Zhao, Xiao-Qiang
2020
Time periodic traveling wave solutions for a Kermack-McKendrick epidemic model with diffusion and seasonality. Zbl 1447.35104
Zhang, Liang; Wang, Zhi-Cheng; Zhao, Xiao-Qiang
2020
Basic reproduction ratios for periodic and time-delayed compartmental models with impulses. Zbl 1440.34086
Bai, Zhenguo; Zhao, Xiao-Qiang
2020
Basic reproduction ratios for almost periodic compartmental models with time delay. Zbl 1443.34092
Qiang, Lizhong; Wang, Bin-Guo; Zhao, Xiao-Qiang
2020
Target reproduction numbers for reaction-diffusion population models. Zbl 1445.35214
Wang, Xueying; Zhao, Xiao-Qiang
2020
Global dynamics of a Lotka-Volterra competition-diffusion-advection system in heterogeneous environments. Zbl 1458.35224
Lou, Yuan; Zhao, Xiao-Qiang; Zhou, Peng
2019
Basic reproduction ratios for periodic abstract functional differential equations (with application to a spatial model for Lyme disease). Zbl 1425.34086
Liang, Xing; Zhang, Lei; Zhao, Xiao-Qiang
2019
Uniqueness and global stability of forced waves in a shifting environment. Zbl 1407.35116
Wang, Jia-Bing; Zhao, Xiao-Qiang
2019
A reaction-diffusion model of vector-borne disease with periodic delays. Zbl 1411.35170
Wu, Ruiwen; Zhao, Xiao-Qiang
2019
A periodic SEIRS epidemic model with a time-dependent latent period. Zbl 1414.34065
Li, Fuxiang; Zhao, Xiao-Qiang
2019
Propagation dynamics of a time periodic and delayed reaction-diffusion model without quasi-monotonicity. Zbl 1419.35117
Zhang, Liang; Wang, Zhi-Cheng; Zhao, Xiao-Qiang
2019
Spatial invasion of a birth pulse population with nonlocal dispersal. Zbl 1420.35134
Wu, Ruiwen; Zhao, Xiao-Qiang
2019
Dynamics of a periodic bluetongue model with a temperature-dependent incubation period. Zbl 1437.34080
Li, Fuxiang; Zhao, Xiao-Qiang
2019
A West Nile virus transmission model with periodic incubation periods. Zbl 1423.35187
Wang, Feng-Bin; Wu, Ruiwen; Zhao, Xiao-Qiang
2019
Spatial dynamics of a nonlocal dispersal population model in a shifting environment. Zbl 1394.35240
Li, Wan-Tong; Wang, Jia-Bing; Zhao, Xiao-Qiang
2018
Evolution of passive movement in advective environments: general boundary condition. Zbl 1378.35172
Zhou, Peng; Zhao, Xiao-Qiang
2018
Time periodic traveling waves for a periodic and diffusive SIR epidemic model. Zbl 1384.35044
Wang, Zhi-Cheng; Zhang, Liang; Zhao, Xiao-Qiang
2018
A reaction-diffusion malaria model with seasonality and incubation period. Zbl 1390.35145
Bai, Zhenguo; Peng, Rui; Zhao, Xiao-Qiang
2018
A cholera epidemic model in a spatiotemporally heterogeneous environment. Zbl 1400.92552
Wang, Xueying; Zhao, Xiao-Qiang; Wang, Jin
2018
Global dynamics of a two species competition model in open stream environments. Zbl 1396.35038
Zhou, Peng; Zhao, Xiao-Qiang
2018
Global dynamics of a time-delayed microorganism flocculation model with saturated functional responses. Zbl 1403.37094
Guo, Songbai; Ma, Wanbiao; Zhao, Xiao-Qiang
2018
Bistable traveling waves for a competitive-cooperative system with nonlocal delays. Zbl 1390.35163
Tian, Yanling; Zhao, Xiao-Qiang
2018
A climate-based malaria model with the use of bed nets. Zbl 1392.34059
Wang, Xiunan; Zhao, Xiao-Qiang
2018
Propagation dynamics for a spatially periodic integrodifference competition model. Zbl 1391.35227
Wu, Ruiwen; Zhao, Xiao-Qiang
2018
Propagation phenomena for CNNs with asymmetric templates and distributed delays. Zbl 1406.35443
Yu, Zhixian; Zhao, Xiaoqiang
2018
Basic reproduction ratios for periodic compartmental models with time delay. Zbl 1365.34145
Zhao, Xiao-Qiang
2017
Dynamical systems in population biology. 2nd edition. Zbl 1393.37003
Zhao, Xiao-Qiang
2017
Traveling waves and spreading speeds for time-space periodic monotone systems. Zbl 1398.35116
Fang, Jian; Yu, Xiao; Zhao, Xiao-Qiang
2017
Bistable pulsating fronts for reaction-diffusion equations in a periodic habitat. Zbl 1386.35201
Ding, Weiwei; Hamel, Francois; Zhao, Xiao-Qiang
2017
A theoretical approach to understanding population dynamics with seasonal developmental durations. Zbl 1384.37116
Lou, Yijun; Zhao, Xiao-Qiang
2017
Propagation phenomena for A reaction-advection-diffusion competition model in a periodic habitat. Zbl 1364.35391
Yu, Xiao; Zhao, Xiao-Qiang
2017
A periodic vector-bias malaria model with incubation period. Zbl 1401.35188
Wang, Xiunan; Zhao, Xiao-Qiang
2017
A malaria transmission model with temperature-dependent incubation period. Zbl 1372.92113
Wang, Xiunan; Zhao, Xiao-Qiang
2017
Dynamics of a time-delayed Lyme disease model with seasonality. Zbl 1365.35075
Wang, Xiunan; Zhao, Xiao-Qiang
2017
A reaction-diffusion model of harmful algae and zooplankton in an ecosystem. Zbl 1378.35313
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
2017
On a Lotka-Volterra competition model: the effects of advection and spatial variation. Zbl 1366.35088
Zhao, Xiao-Qiang; Zhou, Peng
2016
A nonlocal spatial model for Lyme disease. Zbl 1341.35173
Yu, Xiao; Zhao, Xiao-Qiang
2016
A nonlocal and periodic reaction-diffusion-advection model of a single phytoplankton species. Zbl 1339.35336
Peng, Rui; Zhao, Xiao-Qiang
2016
Competition for two essential resources with internal storage and periodic input. Zbl 1363.34133
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
2016
Monostable waves and spreading speed for a reaction-diffusion model with seasonal succession. Zbl 1328.35099
Ma, Manjun; Zhao, Xiao-Qiang
2016
Bistable traveling waves for monotone semiflows with applications. Zbl 1352.37072
Fang, Jian; Zhao, Xiao-Qiang
2015
Threshold dynamics of a time periodic reaction-diffusion epidemic model with latent period. Zbl 1408.35088
Zhang, Liang; Wang, Zhi-Cheng; Zhao, Xiao-Qiang
2015
Effects of diffusion and advection on the principal eigenvalue of a periodic-parabolic problem with applications. Zbl 1331.35251
Peng, Rui; Zhao, Xiao-Qiang
2015
Spatial invasion threshold of Lyme disease. Zbl 1335.35129
Wang, Wendi; Zhao, Xiao-Qiang
2015
Pulsating waves of a partially degenerate reaction-diffusion system in a periodic habitat. Zbl 1332.35177
Wang, Xiang-Sheng; Zhao, Xiao-Qiang
2015
Transition fronts for periodic bistable reaction-diffusion equations. Zbl 1338.35240
Ding, Weiwei; Hamel, François; Zhao, Xiao-Qiang
2015
A reaction-diffusion-advection model of harmful algae growth with toxin degradation. Zbl 1337.35012
Wang, Feng-Bin; Hsu, Sze-Bi; Zhao, Xiao-Qiang
2015
A periodic reaction-advection-diffusion model for a stream population. Zbl 1335.35132
Yu, Xiao; Zhao, Xiao-Qiang
2015
Traveling waves for monotone semiflows with weak compactness. Zbl 1315.35051
Fang, Jian; Zhao, Xiao-Qiang
2014
Asymptotic pattern of a migratory and nonmonotone population model. Zbl 1304.35082
Wu, Chufen; Xiao, Dongmei; Zhao, Xiao-Qiang
2014
The diffusive logistic model with a free boundary and seasonal succession. Zbl 1273.35327
Peng, Rui; Zhao, Xiao-Qiang
2013
Spatiotemporal patterns in a reaction-diffusion model with the Degn-Harrison reaction scheme. Zbl 1270.35090
Peng, Rui; Yi, Feng-Qi; Zhao, Xiao-Qiang
2013
Global dynamics of zooplankton and harmful algae in flowing habitats. Zbl 1286.35129
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
2013
Basic reproduction ratios for almost periodic compartmental epidemic models. Zbl 1278.34054
Wang, Bin-Guo; Zhao, Xiao-Qiang
2013
A reaction-diffusion Lyme disease model with seasonality. Zbl 1288.35299
Zhang, Yuxiang; Zhao, Xiao-Qiang
2013
Spreading speeds of a partially degenerate reaction-diffusion system in a periodic habitat. Zbl 1317.35131
Wu, Chufen; Xiao, Dongmei; Zhao, Xiao-Qiang
2013
Bistable travelling waves for a reaction and diffusion model with seasonal succession. Zbl 1264.35087
Zhang, Yuxiang; Zhao, Xiao-Qiang
2013
Global dynamics of a state-dependent delay model with unimodal feedback. Zbl 1263.34108
Hu, Qingwen; Zhao, Xiao-Qiang
2013
A within-host virus model with periodic multidrug therapy. Zbl 1273.92036
Wang, Zhen; Zhao, Xiao-Qiang
2013
Spatial dynamics of a reaction-diffusion model with distributed delay. Zbl 1291.35420
Zhang, Y.; Zhao, X.-Q.
2013
Basic reproduction numbers for reaction-diffusion epidemic models. Zbl 1259.35120
Wang, Wendi; Zhao, Xiao-Qiang
2012
A reaction-diffusion SIS epidemic model in a time-periodic environment. Zbl 1250.35172
Peng, Rui; Zhao, Xiao-Qiang
2012
A vector-bias malaria model with incubation period and diffusion. Zbl 1254.35225
Xu, Zhiting; Zhao, Xiao-Qiang
2012
Global stability for non-monotone delay equations (with application to a model of blood cell production). Zbl 1245.34082
Yuan, Yuan; Zhao, Xiao-Qiang
2012
Bistable travelling waves in competitive recursion systems. Zbl 1229.92083
Zhang, Yuxiang; Zhao, Xiao-Qiang
2012
Global dynamics of a reaction and diffusion model for Lyme disease. Zbl 1252.35076
Zhao, Xiao-Qiang
2012
A Lotka-Volterra competition model with seasonal succession. Zbl 1284.34054
Hsu, Sze-Bi; Zhao, Xiao-Qiang
2012
Erratum to: “Global stability of monostable traveling waves for nonlocal time-delayed reaction-diffusion equations”. Zbl 1242.35042
Mei, Ming; Ou, Chunhua; Zhao, Xiao-Qiang
2012
The impact of migrant workers on the tuberculosis transmission: general models and a case study for China. Zbl 1260.92064
Liu, Luju; Wu, Jianhong; Zhao, Xiao-Qiang
2012
Global convergence in monotone and uniformly stable recurrent skew-product semiflows. Zbl 1283.37034
Wang, Yejuan; Zhao, Xiao-Qiang
2012
A reaction-diffusion malaria model with incubation period in the vector population. Zbl 1232.92057
Lou, Yijun; Zhao, Xiao-Qiang
2011
A nonlocal and time-delayed reaction-diffusion model of dengue transmission. Zbl 1228.35118
Wang, Wendi; Zhao, Xiao-Qiang
2011
Monotone wavefronts of the nonlocal Fisher-KPP equation. Zbl 1231.35034
Fang, Jian; Zhao, Xiao-Qiang
2011
Dynamics of a periodically pulsed bio-reactor model with a hydraulic storage zone. Zbl 1242.35208
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
2011
Spatial dynamics of a nonlocal and delayed population model in a periodic habitat. Zbl 1213.35115
Weng, Peixuan; Zhao, Xiao-Qiang
2011
Uniqueness of traveling waves for nonlocal lattice equations. Zbl 1221.34212
Fang, Jian; Wei, Junjie; Zhao, Xiao-Qiang
2011
Modelling malaria control by introduction of larvivorous fish. Zbl 1334.92418
Lou, Yijun; Zhao, Xiao-Qiang
2011
A periodic epidemic model with age structure in a patchy environment. Zbl 1233.92070
Liu, Xiuxiang; Zhao, Xiao-Qiang
2011
Spreading speeds and traveling waves for abstract monostable evolution systems. Zbl 1201.35068
Liang, Xing; Zhao, Xiao-Qiang
2010
Global stability of monostable traveling waves for nonlocal time-delayed reaction-diffusion equations. Zbl 1228.35043
Mei, Ming; Ou, Chunhua; Zhao, Xiao-Qiang
2010
A climate-based malaria transmission model with structured vector population. Zbl 1221.34224
Lou, Yijun; Zhao, Xiao-Qiang
2010
Existence and uniqueness of traveling waves for non-monotone integral equations with applications. Zbl 1203.45003
Fang, Jian; Zhao, Xiao-Qiang
2010
A tuberculosis model with seasonality. Zbl 1191.92027
Liu, Luju; Zhao, Xiao-Qiang; Zhou, Yicang
2010
Spreading speeds and travelling waves for non-monotone time-delayed lattice equations. Zbl 1190.35222
Fang, Jian; Wei, Junjie; Zhao, Xiao-Qiang
2010
The periodic Ross-Macdonald model with diffusion and advection. Zbl 1201.35070
Lou, Yijun; Zhao, Xiao-Qiang
2010
An extension of the formula for spreading speeds. Zbl 1202.92080
Weinberger, Hans F.; Zhao, Xiao-Qiang
2010
Global attractivity in a class of nonmonotone reaction-diffusion equations with time delay. Zbl 1213.35119
Zhao, Xiao-Qiang
2009
Spatial dynamics of a periodic population model with dispersal. Zbl 1161.92047
Jin, Yu; Zhao, Xiao-Qiang
2009
Monotone wavefronts for partially degenerate reaction-diffusion systems. Zbl 1180.35275
Fang, Jian; Zhao, Xiao-Qiang
2009
Threshold dynamics in a time-delayed periodic SIS epidemic model. Zbl 1166.92035
Lou, Yijun; Zhao, Xiaoqiang
2009
Spatial dynamics of a nonlocal periodic reaction-diffusion model with stage structure. Zbl 1179.34031
Jin, Yu; Zhao, Xiao-Qiang
2009
Spatial dynamics of some evolution systems in biology. Zbl 1182.35041
Zhao, Xiao-Qiang
2009
A periodic droop model for two species competition in a chemostat. Zbl 1169.92316
White, Michael C.; Zhao, Xiao-Qiang
2009
Spatial dynamics of a discrete-time population model in a periodic lattice habitat. Zbl 1172.92034
Jin, Yu; Zhao, Xiao-Qiang
2009
Threshold dynamics in a time-delayed epidemic model with dispersal. Zbl 1160.92037
White, Michael C.; Zhao, Xiao-Qiang
2009
...and 66 more Documents
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#### Cited by 1,916 Authors

 104 Zhao, Xiao-Qiang 75 Li, Wan-Tong 41 Wu, Shiliang 40 Ruan, Shigui 39 Shen, Wenxian 39 Teng, Zhi-dong 39 Zou, Xingfu 36 Lin, Guo 35 Wang, Feng-Bin 34 Wang, Wendi 29 Wang, Zhi Cheng 27 Jin, Zhen 27 Wu, Jianhong 25 Shi, Junping 25 Weng, Peixuan 25 Yuan, Rong 24 Hsu, Cheng-Hsiung 24 Yu, Zhixian 23 Pan, Shuxia 23 Qiu, Zhipeng 22 Liu, Shengqiang 22 Ou, Chunhua 22 Wang, Jinliang 22 Wang, Mingxin 21 Lin, Zhigui 21 Liu, Xianning 21 Ma, Wanbiao 21 Trofimchuk, Sergei I. 20 Liang, Xing 20 Wei, Junjie 19 Hsu, Szebi 19 Peng, Rui 19 Xiao, Yanni 18 Kuniya, Toshikazu 18 Zhou, Shengfan 17 Liu, Junli 17 Lou, Yijun 17 Xu, Zhiting 17 Yi, Taishan 16 Bai, Zhenguo 16 Bao, Xiongxiong 16 Chen, Shanshan 16 Takeuchi, Yasuhiro 16 Thieme, Horst R. 16 Wang, Weiming 15 Chen, Yuming 15 Du, Yihong 15 Ducrot, Arnaud 15 Feng, Zhaosheng 15 Nie, Hua 15 Smith, Hal Leslie 15 Zhang, Guobao 14 Zhang, Long 14 Zhou, Yicang 13 Jiang, Jifa 13 Jin, Yu 13 Obaya, Rafael 13 Wang, Wei 13 Wu, Jianhua 13 Yang, Feiying 13 Zhang, Tailei 12 Cai, Yongli 12 Cui, Jingan 12 Li, Bingtuan 12 Lou, Yuan 12 Salako, Rachidi Bolaji 12 Wang, Jin 12 Wu, YiXiang 12 Xiao, Dongmei 12 Xu, Zhaoquan 12 Yang, Junyuan 12 Zhu, Huaiping 11 Chen, Lansun 11 Fang, Jian 11 Gao, Daozhou 11 Gao, Shujing 11 Magal, Pierre 11 Mei, Ming 11 Wang, Kaifa 11 Wang, Xueying 11 Wu, Chufen 10 Sanz, Ana M. 10 Tian, Yanling 10 Wang, Bin’guo 10 Wang, Jiabing 10 Wang, Xia 10 Wu, Changhong 9 Ackleh, Azmy S. 9 Bacaër, Nicolas 9 Ge, Jing 9 Guo, Jong-Shenq 9 Hamel, François 9 Huang, Jianhua 9 Lai, Xiulan 9 Lam, King-Yeung 9 Li, Kun 9 Li, Xiong 9 Li, Xuezhi 9 Liu, Lili 9 Liu, Sanyang ...and 1,816 more Authors
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#### Cited in 165 Serials

 206 Journal of Differential Equations 137 Journal of Mathematical Analysis and Applications 134 Discrete and Continuous Dynamical Systems. Series B 133 Nonlinear Analysis. Real World Applications 100 Journal of Mathematical Biology 93 Applied Mathematics and Computation 73 Journal of Dynamics and Differential Equations 52 Bulletin of Mathematical Biology 52 International Journal of Biomathematics 45 Mathematical Biosciences 45 Journal of Theoretical Biology 43 Mathematical Biosciences and Engineering 38 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 35 Discrete and Continuous Dynamical Systems 34 ZAMP. Zeitschrift für angewandte Mathematik und Physik 34 Advances in Difference Equations 31 Applied Mathematics Letters 29 Communications on Pure and Applied Analysis 27 Abstract and Applied Analysis 26 Chaos, Solitons and Fractals 26 SIAM Journal on Applied Mathematics 24 Computers & Mathematics with Applications 24 Journal of Biological Dynamics 23 Mathematical Methods in the Applied Sciences 23 Proceedings of the American Mathematical Society 23 Applied Mathematical Modelling 23 Journal of Difference Equations and Applications 21 Applicable Analysis 21 Communications in Nonlinear Science and Numerical Simulation 20 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 20 Discrete Dynamics in Nature and Society 19 Complexity 18 Journal of Biological Systems 16 Calculus of Variations and Partial Differential Equations 15 Mathematical and Computer Modelling 15 SIAM Journal on Mathematical Analysis 15 Journal of Nonlinear Science 13 Nonlinearity 11 Journal of Computational and Applied Mathematics 11 Science China. Mathematics 11 Journal of Applied Analysis and Computation 10 Transactions of the American Mathematical Society 10 Acta Applicandae Mathematicae 10 Nonlinear Dynamics 10 SIAM Journal on Applied Dynamical Systems 9 Journal of Functional Analysis 9 Japan Journal of Industrial and Applied Mathematics 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Journal of Applied Mathematics and Computing 8 Discrete and Continuous Dynamical Systems. Series S 7 Mathematics and Computers in Simulation 7 Physica D 7 Electronic Journal of Differential Equations (EJDE) 7 Journal of Dynamical and Control Systems 7 Journal of Applied Mathematics 7 Computational & Mathematical Methods in Medicine 7 Mathematical Modelling of Natural Phenomena 6 Journal of the Franklin Institute 6 Boundary Value Problems 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 European Journal of Applied Mathematics 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Journal of Mathematical Chemistry 5 Taiwanese Journal of Mathematics 5 Chaos 4 Journal of Mathematical Physics 4 Rocky Mountain Journal of Mathematics 4 Ricerche di Matematica 4 Computational and Applied Mathematics 4 Acta Mathematica Sinica. English Series 4 Communications in Contemporary Mathematics 4 Qualitative Theory of Dynamical Systems 4 Nonlinear Analysis. Modelling and Control 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Stochastics and Dynamics 4 Journal of Nonlinear Science and Applications 4 International Journal of Differential Equations 3 Mathematische Annalen 3 Studies in Applied Mathematics 3 Ergodic Theory and Dynamical Systems 3 Applied Mathematics and Mechanics. (English Edition) 3 Bulletin of the Iranian Mathematical Society 3 Applied Mathematics. Series B (English Edition) 3 Mathematical Population Studies 3 Journal of Evolution Equations 3 Mediterranean Journal of Mathematics 3 Nonlinear Analysis. Hybrid Systems 3 Electronic Research Archive 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Quarterly of Applied Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Integral Equations and Applications 2 International Journal of Computer Mathematics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 The ANZIAM Journal 2 Dynamical Systems 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Advances in Nonlinear Analysis ...and 65 more Serials
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#### Cited in 37 Fields

 1,648 Biology and other natural sciences (92-XX) 1,122 Partial differential equations (35-XX) 705 Ordinary differential equations (34-XX) 355 Dynamical systems and ergodic theory (37-XX) 87 Integral equations (45-XX) 67 Difference and functional equations (39-XX) 62 Operator theory (47-XX) 55 Numerical analysis (65-XX) 44 Probability theory and stochastic processes (60-XX) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 36 Systems theory; control (93-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Combinatorics (05-XX) 8 Functional analysis (46-XX) 7 Fluid mechanics (76-XX) 6 Statistics (62-XX) 5 Computer science (68-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Real functions (26-XX) 4 General topology (54-XX) 4 Geophysics (86-XX) 4 Operations research, mathematical programming (90-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX)