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## Zou, Xingfu

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 Author ID: zou.xingfu Published as: Zou, X.; Zou, Xinfu; Zou, XingFu; Zou, Xingfou; Zou, Xingfu External Links: ORCID
 Documents Indexed: 171 Publications since 1990, including 6 Books Reviewing Activity: 29 Reviews
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#### Co-Authors

 8 single-authored 19 Wu, Jianhong 13 Yi, Taishan 12 Tang, Xianhua 9 Wang, Lin 7 Lai, Xiulan 7 van den Driessche, Pauline 6 Huang, Yu 6 So, Joseph Wai-Hung 6 Wang, Zhi-Cheng 5 Xiao, Yanyu 4 Ashrafur Rahman, S. M. 4 Bélair, Jacques 4 Gourley, Stephen A. 4 Huang, Jianhua 4 Li, Jing 4 Ma, Shiwang 4 Wang, Feng-Bin 4 Wang, Xiaoying 4 Wei, Junjie 4 Yuan, Zhaohui 3 Guo, Zhiming 3 Hu, Haijun 3 Huang, Lihong 3 Shi, Junping 3 Song, Yongli 3 Vaidya, Naveen K. 3 Wang, Yang 3 Weng, Peixuan 3 Wu, YiXiang 3 Yang, Zhichun 3 Yu, Jian-She 2 Cooke, Kenneth L. 2 Dai, Liman 2 Fan, Meng 2 Guo, Zhenyuan 2 Hu, Qingwen 2 Huang, Chuangxia 2 Jiang, Xiamei 2 Ladas, Gerasimos E. 2 Li, Michael Yi 2 Li, Michael Z. F. 2 Li, Xin 2 Magpantay, Felicia Maria G. 2 Su, Ying 2 Wang, Wendi 2 Wang, Xiunan 2 Wu, Xiaotian 2 Yu, Pei 2 Zhang, Ruyuan 2 Zhao, Xiao-Qiang 2 Zhu, Huiyan 1 Brunner, Hermann 1 Cao, Daomin 1 Chen, Yuanlong 1 Dai, Binxiang 1 Elaydi, Saber Nasr 1 Farrell, Kelda A. 1 He, Xuezhong 1 Hu, Guangda 1 Hu, Guangdi 1 Huang, Qichang 1 Jiang, Weihua 1 Lang, Jiying 1 Li, Ao 1 Li, Xuechen 1 Liang, Dong 1 Lu, Gang 1 Madras, Neal 1 Peng, Yahong 1 Röst, Gergely 1 Wan, Aying 1 Wang, Jinliang 1 Wang, Lianglong 1 Wang, Qian 1 Wu, Chufen 1 Xiao, Cuntao 1 Yu, Chunbo 1 Yuan, Yueding 1 Zanette, Liana 1 Zhang, Fan 1 Zhang, Zhengqiu 1 Zhou, Zhan
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#### Serials

 15 Journal of Differential Equations 9 Journal of Mathematical Biology 8 Bulletin of Mathematical Biology 8 Discrete and Continuous Dynamical Systems. Series B 8 Mathematical Biosciences and Engineering 7 Journal of Mathematical Analysis and Applications 7 The Canadian Applied Mathematics Quarterly 5 Journal of Dynamics and Differential Equations 4 Journal of Computational and Applied Mathematics 4 Proceedings of the American Mathematical Society 4 SIAM Journal on Applied Mathematics 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Nonlinear Analysis. Real World Applications 3 Mathematical Biosciences 3 Applied Mathematics and Computation 3 SIAM Journal on Mathematical Analysis 3 Differential Equations and Dynamical Systems 3 Nonlinear Dynamics 3 Journal of Biological Dynamics 2 Applicable Analysis 2 Nonlinearity 2 Funkcialaj Ekvacioj. Serio Internacia 2 Journal of the London Mathematical Society. Second Series 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Physica D 2 Annals of Differential Equations 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Nonlinear Science 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Communications on Pure and Applied Analysis 2 Fields Institute Communications 1 Computers & Mathematics with Applications 1 Journal of Mathematical and Physical Sciences 1 Mathematical Methods in the Applied Sciences 1 Acta Mathematica Sinica 1 Canadian Mathematical Bulletin 1 Glasgow Mathematical Journal 1 IEEE Transactions on Automatic Control 1 Mathematica Japonica 1 Tohoku Mathematical Journal. Second Series 1 Journal of Hunan University 1 Acta Mathematicae Applicatae Sinica. English Series 1 Hunan Annals of Mathematics 1 Journal of Biomathematics 1 Applied Mathematics Letters 1 Applied Mathematical Modelling 1 SIAM Review 1 Electronic Journal of Differential Equations (EJDE) 1 Discrete and Continuous Dynamical Systems 1 Communications in Applied Analysis 1 Open Systems & Information Dynamics 1 Discrete Dynamics in Nature and Society 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Biological Systems 1 Mathematical Medicine and Biology 1 Mathematical Modelling of Natural Phenomena 1 International Journal of Biomathematics 1 International Journal of Qualitative Theory of Differential Equations and Applications 1 Science China. Mathematics 1 Journal of Theoretical Biology
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#### Fields

 111 Biology and other natural sciences (92-XX) 100 Ordinary differential equations (34-XX) 45 Partial differential equations (35-XX) 28 Dynamical systems and ergodic theory (37-XX) 12 Difference and functional equations (39-XX) 8 Numerical analysis (65-XX) 6 General and overarching topics; collections (00-XX) 4 Integral equations (45-XX) 4 Systems theory; control (93-XX) 3 Operator theory (47-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Computer science (68-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

139 Publications have been cited 3,370 times in 2,107 Documents Cited by Year
Traveling wave fronts of reaction-diffusion systems with delay. Zbl 0996.34053
Wu, Jianhong; Zou, Xingfu
2001
Global attractivity in delayed Hopfield neural network models. Zbl 0917.34036
van den Driessche, P.; Zou, Xingfu
1998
A reaction-diffusion model for a single species with age structure. I: Travelling wavefronts on unbounded domains. Zbl 0999.92029
So, Joseph W.-H.; Wu, Jianhong; Zou, Xingfu
2001
Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016
Cooke, K.; van den Driessche, P.; Zou, X.
1999
Harmless delays in Cohen-Grossberg neural networks. Zbl 1025.92002
Wang, Lin; Zou, Xingfu
2002
On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities. Zbl 1297.34084
Huang, Chuangxia; Yang, Zhichun; Yi, Taishan; Zou, Xingfu
2014
Existence, uniqueness and stability of travelling waves in a discrete reaction — diffusion monostable equation with delay. Zbl 1085.34050
Ma, Shiwang; Zou, Xingfu
2005
Asymptotic and periodic boundary value problems of mixed FDEs and wave solutions of lattice differential equations. Zbl 0877.34046
Wu, Jianhong; Zou, Xingfou
1997
Traveling waves for the diffusive Nicholson’s blowflies equation. Zbl 1027.35051
So, Joseph W.-H.; Zou, Xingfu
2001
Global attractivity of the diffusive Nicholson blowflies equation with Neumann boundary condition: A non-monotone case. Zbl 1152.35511
Yi, Taishan; Zou, Xingfu
2008
Existence of traveling wavefronts of delayed reaction diffusion systems without monotonicity. Zbl 1093.34030
Huang, Jianhua; Zou, Xingfu
2003
Stable periodic solutions in a discrete periodic logistic equation. Zbl 1049.39017
Zhou, Zhan; Zou, Xingfu
2003
Modeling HIV-1 virus dynamics with both virus-to-cell infection and cell-to-cell transmission. Zbl 1304.34139
Lai, Xiulan; Zou, Xingfu
2014
Dynamics of a HIV-1 infection model with cell-mediated immune response and intracellular delay. Zbl 1169.92033
Zhu, Huiyan; Zou, Xingfu
2009
Modeling diseases with latency and relapse. Zbl 1123.92018
van den Driessche, P.; Wang, Lin; Zou, Xingfu
2007
Dynamics of a non-autonomous ratio-dependent predator-prey system. Zbl 1032.34044
Fan, Meng; Wang, Qian; Zou, Xingfu
2003
Impact of delays in cell infection and virus production on HIV-1 dynamics. Zbl 1155.92031
Zhu, Huiyan; Zou, Xingfu
2008
Periodic solutions of second order self-adjoint difference equations. Zbl 1073.39009
Yu, Jianshe; Guo, Zhiming; Zou, Xingfu
2005
Delay induced traveling wave fronts in reaction diffusion equations of KPP-Fisher type. Zbl 1058.35114
Zou, Xingfu
2002
Modeling relapse in infectious diseases. Zbl 1114.92047
Van Den Driessche, P.; Zou, Xingfu
2007
Traveling wavefronts in diffusive and cooperative Lotka-Volterra system with delays. Zbl 1017.35116
Huang, Jianhua; Zou, Xingfu
2002
Propagation and its failure in a lattice delayed differential equation with global interaction. Zbl 1086.34064
Ma, Shiwang; Zou, Xingfu
2005
Asymptotic profiles of steady states for a diffusive SIS epidemic model with mass action infection mechanism. Zbl 1346.35199
Wu, Yixiang; Zou, Xingfu
2016
Existence of traveling wave fronts in delayed reaction-diffusion systems via the monotone iteration method. Zbl 0992.34043
Zou, Xingfu; Wu, Jianhong
1997
Travelling wave solutions in delayed reaction diffusion systems with partial monotonicity. Zbl 1106.34037
Huang, Jianhua; Zou, Xingfu
2006
Analysis of an age structured HIV infection model with virus-to-cell infection and cell-to-cell transmission. Zbl 1352.92174
Wang, Jinliang; Lang, Jiying; Zou, Xingfu
2017
Existence of an extinction wave in the Fisher equation with a shifting habitat. Zbl 1372.34057
Hu, Haijun; Zou, Xingfu
2017
Modeling cell-to-cell spread of HIV-1 with logistic target cell growth. Zbl 1316.92086
Lai, Xiulan; Zou, Xingfu
2015
Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay. Zbl 1113.34052
Tang, Xianhua; Cao, Daomin; Zou, Xingfu
2006
Spatiotemporal dynamics in a diffusive ratio-dependent predator-prey model near a Hopf-Turing bifurcation point. Zbl 1366.92111
Song, Yongli; Zou, Xingfu
2014
Threshold dynamics of an infective disease model with a fixed latent period and non-local infections. Zbl 1257.35105
Guo, Zhiming; Wang, Feng-Bin; Zou, Xingfu
2012
Erratum to “Traveling wave fronts of reaction-diffusion systems with delays” [J. Dynam. Diff. Eq. 13, 651, 687 (2001)]. Zbl 1153.34342
Wu, Jianhong; Zou, Xingfu
2008
Hopf bifurcation in bidirectional associative memory neural networks with delays: Analysis and computation. Zbl 1054.65076
Wang, Lin; Zou, Xingfu
2004
On positive periodic solutions of Lotka-Volterra competition systems with deviating arguments. Zbl 1101.34056
Tang, Xianhua; Zou, Xingfu
2006
Modeling spatial spread of infectious diseases with a fixed latent period in a spatially continuous domain. Zbl 1180.92080
Li, Jing; Zou, Xingfu
2009
Global dynamics of a delay differential equation with spatial non-locality in an unbounded domain. Zbl 1231.35285
Yi, Taishan; Zou, Xingfu
2011
Global dynamics of a PDE in-host viral model. Zbl 1307.35054
Wang, Feng-Bin; Huang, Yu; Zou, Xingfu
2014
Global threshold property in an epidemic model for disease with latency spreading in a heterogeneous host population. Zbl 1208.34134
Yuan, Zhaohui; Zou, Xingfu
2010
Global attractivity of non-autonomous Lotka-Volterra competition system without instantaneous negative feedback. Zbl 1035.34085
Tang, X. H.; Zou, Xingfu
2003
Structured population on two patches: modeling dispersal and delay. Zbl 0986.92039
So, Joseph W.-H.; Wu, Jianhong; Zou, Xingfu
2001
Stabilization role of inhibitory self-connections in a delayed neural network. Zbl 1007.34072
van den Driessche, P.; Wu, Jianhong; Zou, Xingfu
2001
Modelling the fear effect in predator-prey interactions. Zbl 1358.34058
Wang, Xiaoying; Zanette, Liana; Zou, Xingfu
2016
Bifurcation analysis of a diffusive ratio-dependent predator-prey model. Zbl 1314.92144
Song, Yongli; Zou, Xingfu
2014
Map dynamics versus dynamics of associated delay reaction-diffusion equations with a Neumann condition. Zbl 1211.35150
Yi, Taishan; Zou, Xingfu
2010
Asymptotic speed of propagation and traveling wavefronts in a non-local delayed lattice differential equation. Zbl 1162.34051
Ma, Shiwang; Weng, Peixuan; Zou, Xingfu
2006
On Dirichlet problem for a class of delayed reaction-diffusion equations with spatial non-locality. Zbl 1319.35095
Yi, Taishan; Zou, Xingfu
2013
Population dynamic models with nonlocal delay on bounded domains and their numerical computations. Zbl 1231.35287
Liang, Dong; So, Joseph W.-H.; Zhang, Fan; Zou, Xingfu
2003
$${3/2}$$-type criteria for global attractivity of Lotka–Volterra competition system without instantaneous negative feedbacks. Zbl 1028.34070
Tang, X. H.; Zou, Xingfu
2002
Global threshold dynamics in an HIV virus model with nonlinear infection rate and distributed invasion and production delays. Zbl 1260.92088
Yuan, Zhaohui; Zou, Xingfu
2013
Repulsion effect on superinfecting virions by infected cells. Zbl 1329.92074
Lai, Xiulan; Zou, Xingfu
2014
Avian influenza dynamics in wild birds with bird mobility and spatial heterogeneous environment. Zbl 1258.35033
Vaidya, Naveen K.; Wang, Feng-Bin; Zou, Xingfu
2012
Asymptotic behavior, spreading speeds, and traveling waves of nonmonotone dynamical systems. Zbl 1331.37107
Yi, Taishan; Zou, Xingfu
2015
Dynamics of an epidemic model with non-local infections for diseases with latency over a patchy environment. Zbl 1198.92040
Li, Jing; Zou, Xingfu
2010
Bifurcation analysis of a population model and the resulting SIS epidemic model with delay. Zbl 1098.92055
Wei, Junjie; Zou, Xingfu
2006
Numerical experience with limited-memory quasi-Newton and truncated Newton methods. Zbl 0784.90086
Zou, X.; Navon, I. M.; Berger, M.; Phua, K. H.; Schlick, T.; Le Dimet, F. X.
1993
Persistence, stability and Hopf bifurcation in a diffusive ratio-dependent predator-prey model with delay. Zbl 1300.35144
Song, Yongli; Peng, Yahong; Zou, Xingfu
2014
Hopf bifurcation analysis for a model of genetic regulatory system with delay. Zbl 1178.34104
Wan, Aying; Zou, Xingfu
2009
Threshold dynamics in a delayed SIS epidemic model. Zbl 0988.92027
Zhao, Xiao-Qiang; Zou, Xingfu
2001
Dynamics and profiles of a diffusive host-pathogen system with distinct dispersal rates. Zbl 1387.35362
Wu, Yixiang; Zou, Xingfu
2018
Transient oscillatory patterns in the diffusive non-local blowfly equation with delay under the zero-flux boundary condition. Zbl 1297.35025
Su, Ying; Zou, Xingfu
2014
Existence of traveling wave fronts of delayed lattice differential equations. Zbl 1126.34323
Huang, Jianhua; Lu, Gang; Zou, Xingfu
2004
Patterns of sustained oscillations in neural networks with delayed interactions. Zbl 0857.92003
Wu, J.; Zou, X.
1995
Transmission dynamics for vector-borne diseases in a patchy environment. Zbl 1300.34189
Xiao, Yanyu; Zou, Xingfu
2014
Existence and uniqueness of positive solution to a non-local differential equation with homogeneous Dirichlet boundary condition – a non-monotone case. Zbl 1269.34029
Guo, Zhiming; Yang, Zhichun; Zou, Xingfu
2012
Generalization of the Kermack-McKendrick SIR model to a patchy environment for a disease with latency. Zbl 1170.34056
Li, Jing; Zou, X.
2009
Modeling the fear effect in predator-prey interactions with adaptive avoidance of predators. Zbl 1372.92095
Wang, Xiaoying; Zou, Xingfu
2017
Dynamics of an HIV-1 therapy model of fighting a virus with another virus. Zbl 1342.92095
Jiang, Xiamei; Yu, Pei; Yuan, Zhaohui; Zou, Xingfu
2009
A truncated Newton optimization algorithm in meteorology applications with analytic Hessian/vector products. Zbl 0831.90124
Wang, Zhi; Navon, I. M.; Zou, X.; Le Dimet, F. X.
1995
On spatial-temporal dynamics of a Fisher-KPP equation with a shifting environment. Zbl 1430.35140
Hu, Haijun; Yi, Taishan; Zou, Xingfu
2020
Dirichlet problem of a delayed reaction-diffusion equation on a semi-infinite interval. Zbl 06643377
Yi, Taishan; Zou, Xingfu
2016
Dynamics of a host-pathogen system on a bounded spatial domain. Zbl 1328.35104
Wang, Feng-Bin; Shi, Junping; Zou, Xingfu
2015
Co-existence of chaos and stable periodic orbits in a simple discrete neural network. Zbl 1098.37069
Huang, Yu; Zou, X.
2005
Pattern formation of a predator-prey model with the cost of anti-predator behaviors. Zbl 1406.92530
Wang, Xiaoying; Zou, Xingfu
2018
Effect of impulsive controls in a model system for age-structured population over a patchy environment. Zbl 1387.34115
Yang, Zhichun; Huang, Chuangxia; Zou, Xingfu
2018
Stage-structured population systems with temporally periodic delay. Zbl 1336.34118
Wu, Xiaotian; Magpantay, Felicia Maria G.; Wu, Jianhong; Zou, Xingfu
2015
Impact of discontinuous treatments on disease dynamics in an SIR epidemic model. Zbl 1260.92053
Guo, Zhenyuan; Huang, Lihong; Zou, Xingfu
2012
Multiple periodic patterns via discrete neural nets with delayed feedback loops. Zbl 1129.37360
Wu, Jianhong; Zhang, Ruyuan; Zou, Xingfu
2004
Global asymptotic stability of a class of nonautonomous integro-differential systems and applications. Zbl 1058.45004
Fan, Meng; Zou, Xingfu
2004
Stability in a linear delay system without instantaneous negative feedback. Zbl 1019.34074
So, Joseph W.-H.; Tang, Xianhua; Zou, Xingfu
2002
A $$3/2$$ stability result for a regulated logistic growth model. Zbl 1009.34072
Tang, Xianhua; Zou, Xingfu
2002
Local-nonlocal interaction and spatial-temporal patterns in single species population over a patchy environment. Zbl 0859.34056
Madras, Neal; Wu, Jianhong; Zou, Xingfu
1996
Impact of discontinuous harvesting on fishery dynamics in a stock-effort fishing model. Zbl 1304.91162
Guo, Zhenyuan; Zou, Xingfu
2015
On latencies in malaria infections and their impact on the disease dynamics. Zbl 1260.92087
Xiao, Yanyu; Zou, Xingfu
2013
Flu epidemics: a two-strain flu model with a single vaccination. Zbl 1225.92028
Ashrafur Rahman, S. M.; Zou, Xingfu
2011
Global attractivity for nonautonomous linear delay systems. Zbl 1122.34342
So, Joseph W.-H.; Tang, X. H.; Zou, Xingfu
2004
Stability of scalar delay differential equations with dominant delayed terms. Zbl 1047.34090
Tang, X. H.; Zou, Xingfu
2003
Local existence and stability of periodic traveling waves of lattice functional-differential equations. Zbl 0919.34062
Zou, Xingfu; Wu, Jianhong
1998
Spatial-temporal dynamics of a Lotka-Volterra competition model with nonlocal dispersal under shifting environment. Zbl 1428.45012
Wu, Chufen; Wang, Yang; Zou, Xingfu
2019
Traveling wave fronts in spatially discrete reaction-diffusion equations on higher-dimensional lattices. Zbl 0913.34041
Zou, Xingfu
1997
Dynamics of evolutionary competition between budding and lytic viral release strategies. Zbl 1312.34124
Lai, Xiulan; Zou, Xingfu
2014
The existence and global exponential stability of a periodic solution of a class of delay differential equations. Zbl 1226.34065
Tang, X. H.; Zou, Xingfu
2009
Spatial dynamics of a Lotka-Volterra model with a shifting habitat. Zbl 1421.92038
Yuan, Yueding; Wang, Yang; Zou, Xingfu
2019
Analysis of a within-host age-structured model with mutations between two viral strains. Zbl 1333.92043
Dai, Liman; Zou, Xingfu
2015
Estimates of periods and global continua of periodic solutions for state-dependent delay equations. Zbl 1257.34049
Hu, Qingwen; Wu, Jianhong; Zou, Xingfu
2012
Co-invasion waves in a reaction diffusion model for competing pioneer and climax species. Zbl 1180.35159
Yuan, Zhaohui; Zou, Xingfu
2010
Stability of linear neutral systems with multiple delays: Boundary criteria. Zbl 1089.34061
Hu, Guang-Da; Hu, Guang-Di; Zou, Xingfu
2004
Chaotic invariant sets of a delayed discrete neural network of two non-identical neurons. Zbl 1276.37008
Chen, YuanLong; Huang, Yu; Zou, XingFu
2013
Wave fronts in neuronal fields with nonlocal post-synaptic axonal connections and delayed nonlocal feedback connections. Zbl 1259.35208
Magpantay, Felicia Maria G.; Zou, Xingfu
2010
Impact of group mixing on disease dynamics. Zbl 1200.92027
van den Driessche, P.; Wang, Lin; Zou, Xingfu
2010
Stability and bifurcation of bidirectional associative memory neural networks with delayed self-feedback. Zbl 1092.34567
Wang, Lin; Zou, Xingfu
2005
On spatial-temporal dynamics of a Fisher-KPP equation with a shifting environment. Zbl 1430.35140
Hu, Haijun; Yi, Taishan; Zou, Xingfu
2020
On a predator-prey system with digestion delay and anti-predation strategy. Zbl 1445.34121
Wang, Yang; Zou, Xingfu
2020
Spatial-temporal dynamics of a Lotka-Volterra competition model with nonlocal dispersal under shifting environment. Zbl 1428.45012
Wu, Chufen; Wang, Yang; Zou, Xingfu
2019
Spatial dynamics of a Lotka-Volterra model with a shifting habitat. Zbl 1421.92038
Yuan, Yueding; Wang, Yang; Zou, Xingfu
2019
Dynamics and profiles of a diffusive host-pathogen system with distinct dispersal rates. Zbl 1387.35362
Wu, Yixiang; Zou, Xingfu
2018
Pattern formation of a predator-prey model with the cost of anti-predator behaviors. Zbl 1406.92530
Wang, Xiaoying; Zou, Xingfu
2018
Effect of impulsive controls in a model system for age-structured population over a patchy environment. Zbl 1387.34115
Yang, Zhichun; Huang, Chuangxia; Zou, Xingfu
2018
Threshold dynamics of a temperature-dependent stage-structured mosquito population model with nested delays. Zbl 1396.92088
Wang, Xiunan; Zou, Xingfu
2018
Role of white-tailed deer in geographic spread of the black-legged tick Ixodes scapularis: analysis of a spatially nonlocal model. Zbl 1406.92497
Gourley, Stephen A.; Lai, Xiulan; Shi, Junping; Wang, Wendi; Xiao, Yanyu; Zou, Xingfu
2018
Analysis of an age structured HIV infection model with virus-to-cell infection and cell-to-cell transmission. Zbl 1352.92174
Wang, Jinliang; Lang, Jiying; Zou, Xingfu
2017
Existence of an extinction wave in the Fisher equation with a shifting habitat. Zbl 1372.34057
Hu, Haijun; Zou, Xingfu
2017
Modeling the fear effect in predator-prey interactions with adaptive avoidance of predators. Zbl 1372.92095
Wang, Xiaoying; Zou, Xingfu
2017
Asymptotic profiles of steady states for a diffusive SIS epidemic model with mass action infection mechanism. Zbl 1346.35199
Wu, Yixiang; Zou, Xingfu
2016
Modelling the fear effect in predator-prey interactions. Zbl 1358.34058
Wang, Xiaoying; Zanette, Liana; Zou, Xingfu
2016
Dirichlet problem of a delayed reaction-diffusion equation on a semi-infinite interval. Zbl 06643377
Yi, Taishan; Zou, Xingfu
2016
Impact of early treatment programs on HIV epidemics: an immunity-based mathematical model. Zbl 1350.34040
Rahman, S. M. Ashrafur; Vaidya, Naveen K.; Zou, Xingfu
2016
A reaction diffusion system modeling virus dynamics and CTLs response with chemotaxis. Zbl 1347.35131
Lai, Xiulan; Zou, Xingfu
2016
On a two-patch predator-prey model with adaptive habitancy of predators. Zbl 1336.92074
Wang, Xiaoying; Zou, Xingfu
2016
A mathematical model for biocontrol of the invasive weed Fallopia japonica. Zbl 1352.92124
Gourley, Stephen A.; Li, Jing; Zou, Xingfu
2016
Impact of spring bird migration on the range expansion of Ixodes scapularis tick population. Zbl 1356.92076
Wu, Xiaotian; Röst, Gergely; Zou, Xingfu
2016
Modeling cell-to-cell spread of HIV-1 with logistic target cell growth. Zbl 1316.92086
Lai, Xiulan; Zou, Xingfu
2015
Asymptotic behavior, spreading speeds, and traveling waves of nonmonotone dynamical systems. Zbl 1331.37107
Yi, Taishan; Zou, Xingfu
2015
Dynamics of a host-pathogen system on a bounded spatial domain. Zbl 1328.35104
Wang, Feng-Bin; Shi, Junping; Zou, Xingfu
2015
Stage-structured population systems with temporally periodic delay. Zbl 1336.34118
Wu, Xiaotian; Magpantay, Felicia Maria G.; Wu, Jianhong; Zou, Xingfu
2015
Impact of discontinuous harvesting on fishery dynamics in a stock-effort fishing model. Zbl 1304.91162
Guo, Zhenyuan; Zou, Xingfu
2015
Analysis of a within-host age-structured model with mutations between two viral strains. Zbl 1333.92043
Dai, Liman; Zou, Xingfu
2015
On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities. Zbl 1297.34084
Huang, Chuangxia; Yang, Zhichun; Yi, Taishan; Zou, Xingfu
2014
Modeling HIV-1 virus dynamics with both virus-to-cell infection and cell-to-cell transmission. Zbl 1304.34139
Lai, Xiulan; Zou, Xingfu
2014
Spatiotemporal dynamics in a diffusive ratio-dependent predator-prey model near a Hopf-Turing bifurcation point. Zbl 1366.92111
Song, Yongli; Zou, Xingfu
2014
Global dynamics of a PDE in-host viral model. Zbl 1307.35054
Wang, Feng-Bin; Huang, Yu; Zou, Xingfu
2014
Bifurcation analysis of a diffusive ratio-dependent predator-prey model. Zbl 1314.92144
Song, Yongli; Zou, Xingfu
2014
Repulsion effect on superinfecting virions by infected cells. Zbl 1329.92074
Lai, Xiulan; Zou, Xingfu
2014
Persistence, stability and Hopf bifurcation in a diffusive ratio-dependent predator-prey model with delay. Zbl 1300.35144
Song, Yongli; Peng, Yahong; Zou, Xingfu
2014
Transient oscillatory patterns in the diffusive non-local blowfly equation with delay under the zero-flux boundary condition. Zbl 1297.35025
Su, Ying; Zou, Xingfu
2014
Transmission dynamics for vector-borne diseases in a patchy environment. Zbl 1300.34189
Xiao, Yanyu; Zou, Xingfu
2014
Dynamics of evolutionary competition between budding and lytic viral release strategies. Zbl 1312.34124
Lai, Xiulan; Zou, Xingfu
2014
Minimal wave speed and spread speed of competing pioneer and climax species. Zbl 1296.35085
Weng, Peixuan; Zou, Xingfu
2014
Modeling the role of altruism of antibiotic-resistant bacteria. Zbl 1338.92071
Wang, Wendi; Zou, Xingfu
2014
Impact of Tenofovir gel as a PrEP on HIV infection: a mathematical model. Zbl 1412.92176
Ashrafur Rahman, S. M.; Vaidya, Naveen K.; Zou, Xingfu
2014
On a reaction-diffusion model for sterile insect release method on a bounded domain. Zbl 1302.35211
Jiang, Weihua; Li, Xin; Zou, Xingfu
2014
On Dirichlet problem for a class of delayed reaction-diffusion equations with spatial non-locality. Zbl 1319.35095
Yi, Taishan; Zou, Xingfu
2013
Global threshold dynamics in an HIV virus model with nonlinear infection rate and distributed invasion and production delays. Zbl 1260.92088
Yuan, Zhaohui; Zou, Xingfu
2013
On latencies in malaria infections and their impact on the disease dynamics. Zbl 1260.92087
Xiao, Yanyu; Zou, Xingfu
2013
Chaotic invariant sets of a delayed discrete neural network of two non-identical neurons. Zbl 1276.37008
Chen, YuanLong; Huang, Yu; Zou, XingFu
2013
Can multiple malaria species co-persist? Zbl 1343.34126
Xiao, Yanyu; Zou, Xingfu
2013
Threshold dynamics of an infective disease model with a fixed latent period and non-local infections. Zbl 1257.35105
Guo, Zhiming; Wang, Feng-Bin; Zou, Xingfu
2012
Avian influenza dynamics in wild birds with bird mobility and spatial heterogeneous environment. Zbl 1258.35033
Vaidya, Naveen K.; Wang, Feng-Bin; Zou, Xingfu
2012
Existence and uniqueness of positive solution to a non-local differential equation with homogeneous Dirichlet boundary condition – a non-monotone case. Zbl 1269.34029
Guo, Zhiming; Yang, Zhichun; Zou, Xingfu
2012
Impact of discontinuous treatments on disease dynamics in an SIR epidemic model. Zbl 1260.92053
Guo, Zhenyuan; Huang, Lihong; Zou, Xingfu
2012
Estimates of periods and global continua of periodic solutions for state-dependent delay equations. Zbl 1257.34049
Hu, Qingwen; Wu, Jianhong; Zou, Xingfu
2012
Bifurcation analysis on an HIV-1 model with constant injection of recombinant. Zbl 1270.34145
Yu, Pei; Zou, Xingfu
2012
On a reaction-diffusion model for sterile insect release method with release on the boundary. Zbl 1255.35210
Li, Xin; Zou, Xingfu
2012
Global dynamics of a delay differential equation with spatial non-locality in an unbounded domain. Zbl 1231.35285
Yi, Taishan; Zou, Xingfu
2011
Flu epidemics: a two-strain flu model with a single vaccination. Zbl 1225.92028
Ashrafur Rahman, S. M.; Zou, Xingfu
2011
A mathematical model for the control and eradication of a wood boring beetle infestation. Zbl 1254.34116
Gourley, Stephen A.; Zou, Xingfu
2011
Global threshold property in an epidemic model for disease with latency spreading in a heterogeneous host population. Zbl 1208.34134
Yuan, Zhaohui; Zou, Xingfu
2010
Map dynamics versus dynamics of associated delay reaction-diffusion equations with a Neumann condition. Zbl 1211.35150
Yi, Taishan; Zou, Xingfu
2010
Dynamics of an epidemic model with non-local infections for diseases with latency over a patchy environment. Zbl 1198.92040
Li, Jing; Zou, Xingfu
2010
Co-invasion waves in a reaction diffusion model for competing pioneer and climax species. Zbl 1180.35159
Yuan, Zhaohui; Zou, Xingfu
2010
Wave fronts in neuronal fields with nonlocal post-synaptic axonal connections and delayed nonlocal feedback connections. Zbl 1259.35208
Magpantay, Felicia Maria G.; Zou, Xingfu
2010
Impact of group mixing on disease dynamics. Zbl 1200.92027
van den Driessche, P.; Wang, Lin; Zou, Xingfu
2010
Bifurcation analysis in an age-structured model of a single species living in two identical patches. Zbl 1185.34101
Yu, Chunbo; Wei, Junjie; Zou, Xingfu
2010
Rich dynamics in a non-local population model over three patches. Zbl 1183.92087
Weng, Peixuan; Xiao, Cuntao; Zou, Xingfu
2010
Dynamics of a HIV-1 infection model with cell-mediated immune response and intracellular delay. Zbl 1169.92033
Zhu, Huiyan; Zou, Xingfu
2009
Modeling spatial spread of infectious diseases with a fixed latent period in a spatially continuous domain. Zbl 1180.92080
Li, Jing; Zou, Xingfu
2009
Hopf bifurcation analysis for a model of genetic regulatory system with delay. Zbl 1178.34104
Wan, Aying; Zou, Xingfu
2009
Generalization of the Kermack-McKendrick SIR model to a patchy environment for a disease with latency. Zbl 1170.34056
Li, Jing; Zou, X.
2009
Dynamics of an HIV-1 therapy model of fighting a virus with another virus. Zbl 1342.92095
Jiang, Xiamei; Yu, Pei; Yuan, Zhaohui; Zou, Xingfu
2009
The existence and global exponential stability of a periodic solution of a class of delay differential equations. Zbl 1226.34065
Tang, X. H.; Zou, Xingfu
2009
New generic quasi-convergence principles with applications. Zbl 1171.37013
Yi, Taishan; Zou, Xingfu
2009
Global attractivity of the diffusive Nicholson blowflies equation with Neumann boundary condition: A non-monotone case. Zbl 1152.35511
Yi, Taishan; Zou, Xingfu
2008
Impact of delays in cell infection and virus production on HIV-1 dynamics. Zbl 1155.92031
Zhu, Huiyan; Zou, Xingfu
2008
Erratum to “Traveling wave fronts of reaction-diffusion systems with delays” [J. Dynam. Diff. Eq. 13, 651, 687 (2001)]. Zbl 1153.34342
Wu, Jianhong; Zou, Xingfu
2008
Global attractivity in a predator-prey system with pure delays. Zbl 1155.34040
Tang, X. H.; Zou, Xingfu
2008
A mathematical model for the control and eradication of a wood boring beetle infestation. Zbl 1165.34047
Gourley, Stephen A.; Zou, Xingfu
2008
Dynamics in numerics: on a discrete predator-prey model. Zbl 1213.37125
Huang, Yu; Jiang, Xiamei; Zou, Xingfu
2008
Global stability in a model for interactions between two strains of host and one strain of parasite. Zbl 1204.34076
Xiao, Yanyu; Zou, Xingfu
2008
Modeling diseases with latency and relapse. Zbl 1123.92018
van den Driessche, P.; Wang, Lin; Zou, Xingfu
2007
Modeling relapse in infectious diseases. Zbl 1114.92047
Van Den Driessche, P.; Zou, Xingfu
2007
Impact of dispersion on dynamics of a discrete metapopulation model. Zbl 1126.92051
Huang, Yu; Zou, Xingfu
2007
Travelling wave solutions in delayed reaction diffusion systems with partial monotonicity. Zbl 1106.34037
Huang, Jianhua; Zou, Xingfu
2006
Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay. Zbl 1113.34052
Tang, Xianhua; Cao, Daomin; Zou, Xingfu
2006
On positive periodic solutions of Lotka-Volterra competition systems with deviating arguments. Zbl 1101.34056
Tang, Xianhua; Zou, Xingfu
2006
Asymptotic speed of propagation and traveling wavefronts in a non-local delayed lattice differential equation. Zbl 1162.34051
Ma, Shiwang; Weng, Peixuan; Zou, Xingfu
2006
Bifurcation analysis of a population model and the resulting SIS epidemic model with delay. Zbl 1098.92055
Wei, Junjie; Zou, Xingfu
2006
Permanence for a class of nonlinear difference systems. Zbl 1109.39006
Dai, Binxiang; Zou, Xingfu
2006
On dynamics of generalized competitive and cooperative systems. Zbl 1109.34030
Huang, Lihong; Yi, Taishan; Zou, Xingfu
2006
Existence, uniqueness and stability of travelling waves in a discrete reaction — diffusion monostable equation with delay. Zbl 1085.34050
Ma, Shiwang; Zou, Xingfu
2005
Periodic solutions of second order self-adjoint difference equations. Zbl 1073.39009
Yu, Jianshe; Guo, Zhiming; Zou, Xingfu
2005
Propagation and its failure in a lattice delayed differential equation with global interaction. Zbl 1086.34064
Ma, Shiwang; Zou, Xingfu
2005
Co-existence of chaos and stable periodic orbits in a simple discrete neural network. Zbl 1098.37069
Huang, Yu; Zou, X.
2005
Stability and bifurcation of bidirectional associative memory neural networks with delayed self-feedback. Zbl 1092.34567
Wang, Lin; Zou, Xingfu
2005
Dynamics in numerics: On two different finite difference schemes for ODEs. Zbl 1074.65093
Huang, Yu; Zou, Xingfu
2005
Hopf bifurcation in bidirectional associative memory neural networks with delays: Analysis and computation. Zbl 1054.65076
Wang, Lin; Zou, Xingfu
2004
Existence of traveling wave fronts of delayed lattice differential equations. Zbl 1126.34323
Huang, Jianhua; Lu, Gang; Zou, Xingfu
2004
Multiple periodic patterns via discrete neural nets with delayed feedback loops. Zbl 1129.37360
Wu, Jianhong; Zhang, Ruyuan; Zou, Xingfu
2004
Global asymptotic stability of a class of nonautonomous integro-differential systems and applications. Zbl 1058.45004
Fan, Meng; Zou, Xingfu
2004
Global attractivity for nonautonomous linear delay systems. Zbl 1122.34342
So, Joseph W.-H.; Tang, X. H.; Zou, Xingfu
2004
Stability of linear neutral systems with multiple delays: Boundary criteria. Zbl 1089.34061
Hu, Guang-Da; Hu, Guang-Di; Zou, Xingfu
2004
Existence of traveling wavefronts of delayed reaction diffusion systems without monotonicity. Zbl 1093.34030
Huang, Jianhua; Zou, Xingfu
2003
...and 39 more Documents
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#### Cited by 2,354 Authors

 67 Zou, Xingfu 50 Cao, Jinde 45 Li, Wan-Tong 39 Wei, Junjie 36 Huang, Lihong 36 Wu, Jianhong 34 Wang, Jinliang 31 Weng, Peixuan 30 Zhao, Xiao-Qiang 26 Lin, Guo 26 Ruan, Shigui 26 Song, Yongli 25 Hsu, Cheng-Hsiung 25 Wu, Shiliang 24 Xu, Rui 24 Yuan, Rong 23 Ma, Wanbiao 23 Trofimchuk, Sergei I. 23 Wang, Zhi Cheng 23 Yu, Zhixian 22 Elaiw, Ahmed M. 22 Liao, Xiaofeng 22 Tang, Xianhua 21 Teng, Zhi-dong 18 Wang, Lin 17 Huang, Chuangxia 17 Kuniya, Toshikazu 17 Shi, Junping 16 Chen, Yuming 16 Yi, Taishan 15 Feng, Zhaosheng 15 Pan, Shuxia 15 Rong, Libin 15 Xu, Changjin 15 Yang, Yu 14 Chen, Fengde 14 Guo, Shangjiang 14 Xu, Zhiting 13 Berezansky, Leonid M. 13 Chen, Shanshan 13 Faria, Teresa 13 Huang, Jianhua 13 Liu, Xianning 13 Shen, Wenxian 12 Jiang, Weihua 12 Muroya, Yoshiaki 12 Shu, Hongying 12 Wang, Wei 12 Wang, Xia 12 Xia, Yonghui 12 Zhang, Guobao 12 Zhang, Tonghua 11 Chu, Yuming 11 Guo, Jong-Shenq 11 Liu, Shengqiang 11 Liu, Zhijun 11 Lou, Yijun 11 Mei, Ming 11 Samanta, Sudip K. 11 Takeuchi, Yasuhiro 11 Wang, Wendi 11 Xu, Zhaoquan 10 Guo, Zhiming 10 Peng, Yahong 9 Braverman, Elena 9 Chattopadhyay, Joydev 9 Du, Zengji 9 Fan, Meng 9 Han, Maoan 9 Li, Yongkun 9 Li, Zhong 9 Miao, Hui 9 Nakata, Yukihiko 9 Oliveira, José J. 9 Qiu, Zhipeng 9 Rezunenko, Oleksandr V”yacheslavovych 9 Wang, Yifu 9 Wei, Jingdong 9 Wu, Chufen 9 Xu, Daoyi 9 Xu, Jinhu 9 Yang, Zhichun 9 Yin, Jingxue 9 Yuan, Zhaohui 8 Din, Qamar 8 Fang, Jian 8 Gan, Qintao 8 Geng, Yan 8 Huang, Gang 8 Lin, Jian Jhong 8 Liu, Bingwen 8 Liu, Junli 8 Liu, Sanyang 8 Ma, Shiwang 8 Tian, Yanling 8 Wang, Wentao 8 Zhang, Zhengqiu 8 Zhao, Hongyong 8 Zhou, Jiangbo 7 Cheng, Chang-Yuan ...and 2,254 more Authors
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#### Cited in 216 Serials

 139 Nonlinear Analysis. Real World Applications 123 Journal of Mathematical Analysis and Applications 121 Applied Mathematics and Computation 109 Journal of Differential Equations 79 Chaos, Solitons and Fractals 77 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 60 Advances in Difference Equations 59 Discrete and Continuous Dynamical Systems. Series B 57 Discrete Dynamics in Nature and Society 51 Computers & Mathematics with Applications 50 International Journal of Biomathematics 49 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 45 Applied Mathematics Letters 41 Abstract and Applied Analysis 39 Applied Mathematical Modelling 37 Journal of Dynamics and Differential Equations 36 Journal of Mathematical Biology 36 Nonlinear Dynamics 31 Communications in Nonlinear Science and Numerical Simulation 30 Mathematical Methods in the Applied Sciences 29 Mathematical and Computer Modelling 26 Bulletin of Mathematical Biology 26 Journal of Computational and Applied Mathematics 25 Journal of Applied Mathematics and Computing 25 Mathematical Biosciences and Engineering 24 Communications on Pure and Applied Analysis 23 Mathematical Biosciences 23 Journal of Difference Equations and Applications 21 Physica D 21 Neural Networks 19 ZAMP. Zeitschrift für angewandte Mathematik und Physik 19 Journal of Applied Analysis and Computation 17 Mathematics and Computers in Simulation 17 Journal of Biological Dynamics 16 Journal of the Franklin Institute 16 Complexity 15 Discrete and Continuous Dynamical Systems 14 Applicable Analysis 14 Proceedings of the American Mathematical Society 13 Journal of Nonlinear Science 13 Chaos 11 Physics Letters. A 11 SIAM Journal on Applied Mathematics 11 Journal of Applied Mathematics 9 Journal of Dynamical and Control Systems 9 Science China. Mathematics 9 Journal of Theoretical Biology 9 Journal of Function Spaces 8 Journal of Biological Systems 7 Nonlinearity 7 Japan Journal of Industrial and Applied Mathematics 7 Mathematical Problems in Engineering 7 Discrete and Continuous Dynamical Systems. Series S 6 Computational and Applied Mathematics 6 Differential Equations and Dynamical Systems 6 Journal of Systems Science and Complexity 6 Journal of Nonlinear Science and Applications 6 International Journal of Applied and Computational Mathematics 5 Neural Computation 5 Qualitative Theory of Dynamical Systems 5 Nonlinear Analysis. Modelling and Control 5 Computational & Mathematical Methods in Medicine 4 Computer Methods in Applied Mechanics and Engineering 4 Rocky Mountain Journal of Mathematics 4 Transactions of the American Mathematical Society 4 Acta Applicandae Mathematicae 4 Acta Mathematicae Applicatae Sinica. English Series 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 SIAM Journal on Mathematical Analysis 4 Applied Mathematics. Series B (English Edition) 4 International Journal of Computational Fluid Dynamics 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Dynamical Systems 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Boundary Value Problems 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Archive for Rational Mechanics and Analysis 3 International Journal of Systems Science 3 Journal of Functional Analysis 3 Osaka Journal of Mathematics 3 European Journal of Applied Mathematics 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 International Journal of Computer Mathematics 3 Computational Optimization and Applications 3 Calculus of Variations and Partial Differential Equations 3 Acta Mathematica Sinica. English Series 3 SIAM Journal on Applied Dynamical Systems 3 Mediterranean Journal of Mathematics 3 Applications and Applied Mathematics 3 Frontiers of Mathematics in China 3 Journal of Mathematical Inequalities 3 International Journal of Differential Equations 2 International Journal for Numerical Methods in Fluids 2 Journal of Mathematical Physics 2 Computing 2 Fuzzy Sets and Systems 2 Quarterly of Applied Mathematics 2 Theoretical Computer Science 2 Systems & Control Letters 2 Circuits, Systems, and Signal Processing ...and 116 more Serials
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#### Cited in 43 Fields

 1,462 Biology and other natural sciences (92-XX) 1,011 Ordinary differential equations (34-XX) 739 Partial differential equations (35-XX) 321 Dynamical systems and ergodic theory (37-XX) 164 Difference and functional equations (39-XX) 136 Systems theory; control (93-XX) 88 Numerical analysis (65-XX) 71 Operator theory (47-XX) 59 Integral equations (45-XX) 50 Computer science (68-XX) 39 Probability theory and stochastic processes (60-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 20 Real functions (26-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Global analysis, analysis on manifolds (58-XX) 15 Fluid mechanics (76-XX) 13 Operations research, mathematical programming (90-XX) 9 Functional analysis (46-XX) 9 Mechanics of particles and systems (70-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Special functions (33-XX) 7 Statistics (62-XX) 7 Geophysics (86-XX) 6 Combinatorics (05-XX) 6 Mechanics of deformable solids (74-XX) 4 Integral transforms, operational calculus (44-XX) 4 Information and communication theory, circuits (94-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Abstract harmonic analysis (43-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Mathematics education (97-XX) 1