## Yuan, Sanling

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 Author ID: yuan.sanling Published as: Yuan, Sanling; Yuan, San-ling
 Documents Indexed: 144 Publications since 1998 1 Contribution as Editor Co-Authors: 74 Co-Authors with 139 Joint Publications 3,418 Co-Co-Authors
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### Co-Authors

 0 single-authored 29 Zhang, Tonghua 16 Zhao, Dianli 15 Xu, Chaoqun 14 Zhao, Yu 13 Zhang, Weiguo 10 Ma, Zhien 10 Song, Yongli 7 Duan, Xichao 7 Ji, Xuehui 7 Zhou, Yanli 6 Han, Maoan 6 Ma, Junling 6 Yu, Xingwang 5 Li, Xiangzheng 4 Jin, Zhen 4 Yan, Shuixian 3 Lan, Guijie 3 Liu, Haidong 3 Luo, Jianmei 3 Song, Baojun 3 Zhang, Liping 3 Zhao, Shengnan 3 Zhu, Huaiping 2 Jia, Dongxue 2 Jiang, Liqiang 2 Li, Bo 2 Li, Pan 2 Li, Shuai 2 Li, Xiaoyue 2 Li, Xuezhi 2 Liu, Xuefei 2 Martcheva, Maia 2 van den Driessche, Pauline 2 Wu, Dongmei 2 Xiao, Anfeng 2 Xu, Changyong 2 Yang, Jingen 2 Zhang, Fengqin 2 Zhang, Jianming 2 Zhang, Qimin 2 Zhang, Shengqiang 2 Zhang, Tiansi 2 Zhang, Yu 1 Burkow, Daniel 1 Chen, Lansun 1 Cheng, Huanhuan 1 de Sampaio, Raimundo J. B. 1 Du, Xuewu 1 Gao, Shufei 1 Guo, Yong 1 Han, Litao 1 Hou, Tianfang 1 Hu, Hongxiao 1 Jaramillo, J. M. 1 Li, Hong’en 1 Li, Jiao 1 Li, Junhui 1 Meng, Linlin 1 Qiu, Zhipeng 1 Shen, Anglu 1 Shuai, Zhisheng 1 Sun, Xiaosa 1 Wang, Cuihua 1 Wang, Kaifa 1 Wang, Meijuan 1 Wei, Yingying 1 Willeboordse, Frederick H. 1 Wu, Fanqiu 1 Xia, Yixiu 1 Xia, Yonghui 1 Xiao, Dongmei 1 Yang, Anji 1 You, Liang 1 Yu, Tingting 1 Yuan, Jinyun 1 Zhou, Jin 1 Zhu, Chunjuan
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### Serials

 11 Applied Mathematics and Computation 11 Journal of Biomathematics 9 Mathematical Biosciences and Engineering 6 International Journal of Biomathematics 5 Physica A 5 Chaos, Solitons and Fractals 5 Applied Mathematics Letters 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Nonlinear Analysis. Real World Applications 4 Bulletin of Mathematical Biology 4 Journal of Engineering Mathematics (Xi’an) 4 Applied Mathematical Modelling 4 Nonlinear Dynamics 4 Abstract and Applied Analysis 4 Communications in Nonlinear Science and Numerical Simulation 3 Journal of the Franklin Institute 3 Journal of Mathematical Biology 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Theoretical Biology 3 Journal of Applied Analysis and Computation 2 IMA Journal of Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 Mathematical Biosciences 2 Applied Mathematics. Series A (Chinese Edition) 2 Applied Mathematics. Series B (English Edition) 2 Discrete Dynamics in Nature and Society 2 Journal of Systems Science and Complexity 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 Journal of Henan University of Science and Technology. Natural Science 2 Advances in Difference Equations 2 Nonlinear Analysis. Hybrid Systems 2 Chinese Journal of Engineering Mathematics 1 Modern Physics Letters A 1 Computers & Mathematics with Applications 1 Computers and Structures 1 Journal of Engineering Mathematics 1 Rocky Mountain Journal of Mathematics 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Journal of Xi’an Jiaotong University 1 Mathematics in Practice and Theory 1 Journal of Systems Science and Mathematical Sciences 1 Acta Mathematicae Applicatae Sinica. English Series 1 Acta Physica Sinica 1 Mathematica Applicata 1 Journal of Nonlinear Science 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 Chaos 1 Iranian Journal of Fuzzy Systems 1 Journal of Biological Dynamics
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### Fields

 129 Biology and other natural sciences (92-XX) 76 Ordinary differential equations (34-XX) 35 Probability theory and stochastic processes (60-XX) 25 Dynamical systems and ergodic theory (37-XX) 16 Partial differential equations (35-XX) 8 Systems theory; control (93-XX) 6 Numerical analysis (65-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

104 Publications have been cited 1,319 times in 835 Documents Cited by Year
Spatial dynamics in a predator-prey model with herd behavior. Zbl 1323.92197
Yuan, Sanling; Xu, Chaoqun; Zhang, Tonghua
2013
Bifurcation analysis in a predator - prey system with time delay. Zbl 1085.92052
Song, Yongli; Yuan, Sanling
2006
An analogue of break-even concentration in a simple stochastic chemostat model. Zbl 1328.92047
Xu, Chaoqun; Yuan, Sanling
2015
Survival and stationary distribution of a SIR epidemic model with stochastic perturbations. Zbl 1335.92109
Zhou, Yanli; Zhang, Weiguo; Yuan, Sanling
2014
Survival and stationary distribution analysis of a stochastic competitive model of three species in a polluted environment. Zbl 1335.92087
Zhao, Yu; Yuan, Sanling; Ma, Junling
2015
The effects of toxin-producing phytoplankton and environmental fluctuations on the planktonic blooms. Zbl 1390.92129
Yu, Xingwang; Yuan, Sanling; Zhang, Tonghua
2018
Survival and ergodicity of a stochastic phytoplankton-zooplankton model with toxin-producing phytoplankton in an impulsive polluted environment. Zbl 1428.92097
Yu, Xingwang; Yuan, Sanling; Zhang, Tonghua
2019
Global stability of an SVIR model with age of vaccination. Zbl 1354.92083
Duan, Xichao; Yuan, Sanling; Li, Xuezhi
2014
Competition in the chemostat: a stochastic multi-species model and its asymptotic behavior. Zbl 1350.34041
Xu, Chaoqun; Yuan, Sanling
2016
Global stability of an SVEIR epidemic model with ages of vaccination and latency. Zbl 1369.92117
Duan, Xichao; Yuan, Sanling; Qiu, Zhipeng; Ma, Junling
2014
Retracted: Stability and Hopf bifurcations in a delayed Leslie-Gower predator-prey system. Zbl 1170.34051
Yuan, Sanling; Song, Yongli
2009
Global dynamics of a predator-prey model with defense mechanism for prey. Zbl 1351.34052
Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua
2016
Critical result on the break-even concentration in a single-species stochastic chemostat model. Zbl 1335.92064
Zhao, Dianli; Yuan, Sanling
2016
Retracted: Bifurcation analysis in the delayed Leslie-Gower predator-prey system. Zbl 1205.34089
Song, Yongli; Yuan, Sanling; Zhang, Jianming
2009
Average break-even concentration in a simple chemostat model with telegraph noise. Zbl 1392.92085
Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua
2018
Threshold behavior of a stochastic SIS model with Lévy jumps. Zbl 1410.92149
Zhou, Yanli; Yuan, Sanling; Zhao, Dianli
2016
Persistence and ergodicity of a stochastic single species model with Allee effect under regime switching. Zbl 07263350
Yu, Xingwang; Yuan, Sanling; Zhang, Tonghua
2018
Asymptotic properties of stochastic nutrient-plankton food chain models with nutrient recycling. Zbl 1435.34056
Yu, Xingwang; Yuan, Sanling; Zhang, Tonghua
2019
Pattern dynamics of a diffusive toxin producing phytoplankton-zooplankton model with three-dimensional patch. Zbl 1411.35257
Jia, Dongxue; Zhang, Tonghua; Yuan, Sanling
2019
Threshold behavior in a stochastic algal growth model with stoichiometric constraints and seasonal variation. Zbl 1433.92045
Zhao, Shengnan; Yuan, Sanling; Wang, Hao
2020
The stationary distribution and ergodicity of a stochastic phytoplankton allelopathy model under regime switching. Zbl 1473.92047
Zhao, Yu; Yuan, Sanling; Zhang, Tonghua
2016
Bifurcation and stability analysis for a delayed Leslie-Gower predator-prey system. Zbl 1201.34132
Yuan, Sanling; Song, Yongli
2009
Stochastic periodic solution of a non-autonomous toxic-producing phytoplankton allelopathy model with environmental fluctuation. Zbl 1465.92143
Zhao, Yu; Yuan, Sanling; Zhang, Tonghua
2017
The threshold of a stochastic SIVS epidemic model with nonlinear saturated incidence. Zbl 1400.92565
Zhao, Dianli; Zhang, Tiansi; Yuan, Sanling
2016
Stability in distribution of a stochastic hybrid competitive Lotka-Volterra model with Lévy jumps. Zbl 1355.37072
Zhao, Yu; Yuan, Sanling
2016
Competition in the chemostat: convergence of a model with delayed response in growth. Zbl 1036.92037
Yuan, Sanling; Han, Maoan; Ma, Zhien
2003
Cross-diffusion induced Turing instability for a competition model with saturation effect. Zbl 1428.92091
Li, Qiang; Liu, Zhijun; Yuan, Sanling
2019
Dynamics of a plasmid chemostat model with periodic nutrient input and delayed nutrient recycling. Zbl 1327.92052
Yuan, Sanling; Zhang, Tonghua
2012
Bifurcation analysis for a regulated logistic growth model. Zbl 1167.34377
Song, Yongli; Yuan, Sanling
2007
Global dynamics of an epidemic model with a ratio-dependent nonlinear incidence rate. Zbl 1177.37089
Yuan, Sanling; Li, Bo
2009
Bifurcation analysis of a chemostat model with two distributed delays. Zbl 1059.34059
Yuan, Sanling; Han, Maoan
2004
Stability and global Hopf bifurcation in a delayed predator-prey system. Zbl 1183.37156
Yuan, Sanling; Zhang, Fengqin
2010
Global asymptotic behavior in chemostat-type competition models with delay. Zbl 1162.34335
Yuan, Sanling; Zhang, Weiguo; Han, Maoan
2009
Noise-induced transitions in a nonsmooth producer-grazer model with stoichiometric constraints. Zbl 1443.92195
Yuan, Sanling; Wu, Dongmei; Lan, Guijie; Wang, Hao
2020
Asymptotic properties of a stochastic chemostat model with two distributed delays and nonlinear perturbation. Zbl 1443.34093
Yu, Xingwang; Yuan, Sanling
2020
The effect of Lévy noise on the survival of a stochastic competitive model in an impulsive polluted environment. Zbl 1471.92390
Zhao, Yu; Yuan, Sanling; Zhang, Qimin
2016
Direction and stability of bifurcating periodic solutions of a chemostat model with two distributed delays. Zbl 1129.34328
Yuan, Sanling; Song, Yongli; Han, Maoan
2004
Random periodic solution for a stochastic SIS epidemic model with constant population size. Zbl 1445.92288
Zhao, Dianli; Yuan, Sanling; Liu, Haidong
2018
Competition between plasmid-bearing and plasmid-free organisms in a chemostat with nutrient recycling and an inhibitor. Zbl 1112.34062
Yuan, Sanling; Xiao, Dongmei; Han, Maoan
2006
Stochastic dynamics of the delayed chemostat with Lévy noises. Zbl 1422.34246
Zhao, Dianli; Yuan, Sanling; Liu, Haidong
2019
Stochastic sensitivity analysis for a competitive turbidostat model with inhibitory nutrients. Zbl 1352.34079
Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua
2016
Analysis on an epidemic model with a ratio-dependent nonlinear incidence rate. Zbl 1297.92078
Li, Bo; Yuan, Sanling; Zhang, Weiguo
2011
Asymptotic behavior of a chemostat model with stochastic perturbation on the dilution rate. Zbl 1402.92289
Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua
2013
Delay induced oscillations in a turbidostat with feedback control. Zbl 1227.92048
Yuan, Sanling; Li, Pan; Song, Yongli
2011
Computation of elastic buckling loads of rectangular thin plates using extended Kantorovich method. Zbl 0921.73172
Yuan, S.; Jin, Y.
1998
Competitive exclusion in a general multi-species chemostat model with stochastic perturbations. Zbl 1460.92129
Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua
2021
Dynamics of the stochastic Leslie-Gower predator-prey system with randomized intrinsic growth rate. Zbl 1400.92454
Zhao, Dianli; Yuan, Sanling
2016
Asymptotic behavior of a delayed stochastic logistic model with impulsive perturbations. Zbl 1364.65011
Yuan, Sanling; Ji, Xuehui; Zhu, Huaiping
2017
The impact of hospital resources and environmental perturbations to the dynamics of SIRS model. Zbl 1459.92133
Lan, Guijie; Yuan, Sanling; Song, Baojun
2021
Pattern dynamics in a diffusive predator-prey model with hunting cooperations. Zbl 1489.92128
Yan, Shuixian; Jia, Dongxue; Zhang, Tonghua; Yuan, Sanling
2020
Turing pattern induced by cross-diffusion in a predator-prey model with pack predation-herd behavior. Zbl 1448.92257
Yang, Jingen; Zhang, Tonghua; Yuan, Sanling
2020
Persistence and extinction in stochastic SIRS models with general nonlinear incidence rate. Zbl 1294.34054
Zhou, Yanli; Zhang, Weiguo; Yuan, Sanling; Hu, Hongxiao
2014
Stability and Hopf bifurcation in a delayed predator-prey system with herd behavior. Zbl 1449.92041
Xu, Chaoqun; Yuan, Sanling
2014
Stability and direction of Hopf bifurcations in a pair of identical tri-neuron network loops. Zbl 1204.37090
Yuan, Sanling; Li, Pan
2010
A predator-prey model with different response functions to juvenile and adult prey in deterministic and stochastic environments. Zbl 07427434
Zhang, Shengqiang; Yuan, Sanling; Zhang, Tonghua
2022
Noise-induced bifurcations in the stochastic chemostat model with general nutrient uptake functions. Zbl 1444.92103
Zhao, Dianli; Yuan, Sanling
2020
Numerical solution of a fuzzy stochastic single-species age-structure model in a polluted environment. Zbl 1410.92168
Zhao, Yu; Yuan, Sanling; Zhang, Qimin
2015
Sharp conditions for the existence of a stationary distribution in one classical stochastic chemostat. Zbl 1428.34084
Zhao, Dianli; Yuan, Sanling
2018
Spatial periodic solutions in a delayed diffusive predator-prey model with herd behavior. Zbl 1327.35381
Xu, Chaoqun; Yuan, Sanling
2015
Dynamics of a diffusive age-structured HBV model with saturating incidence. Zbl 1353.35290
Duan, Xichao; Yuan, Sanling; Wang, Kaifa
2016
$$3/2$$-stability conditions for a class of Volterra-Levin equations. Zbl 1300.34161
Zhao, Dianli; Yuan, Sanling
2014
Competition between two microorganisms in the chemostat with general variable yields and general growth rates. Zbl 1179.34048
Luo, Jianmei; Yuan, Sanling; Zhang, Weiguo
2008
An edge-based SIR model for sexually transmitted diseases on the contact network. Zbl 1397.92696
Yan, Shuixian; Zhang, Yu; Ma, Junling; Yuan, Sanling
2018
Regulation of phosphate uptake kinetics in the bloom-forming dinoflagellates Prorocentrum donghaiense with emphasis on two-stage dynamic process. Zbl 1406.92270
Jiang, Jie; Shen, Anglu; Wang, Hao; Yuan, Sanling
2019
Bifurcation analysis of a model of plasmid-bearing, plasmid-free competition in a pulsed chemostat with an internal inhibitor. Zbl 1230.37109
Yuan, Sanling; Zhang, Weiguo; Zhao, Yu
2011
Optimal harvesting strategy of a stochastic inshore-offshore hairtail fishery model driven by Lévy jumps in a polluted environment. Zbl 1439.92209
Zhao, Yu; You, Liang; Burkow, Daniel; Yuan, Sanling
2019
Optimal harvesting policy of a stochastic two-species competitive model with Lévy noise in a polluted environment. Zbl 1495.92065
Zhao, Yu; Yuan, Sanling
2017
Persistence and stability of the disease-free equilibrium in a stochastic epidemic model with imperfect vaccine. Zbl 1418.92211
Zhao, Dianli; Yuan, Sanling
2016
Solution of regular second- and fourth-order Sturm-Liouville problems by exact dynamic stiffness method analogy. Zbl 1356.70027
Yuan, S.; Ye, K.; Xiao, C.; Kennedy, D.; Williams, F.
2014
Persistence and periodic solution of a nonautonomous SIS model with delays. Zbl 1036.34074
Yuan, San-ling; Ma, Zhi-en; Jin, Zhen
2003
Competition between plasmid-bearing and plasmid-free organisms in a chemostat with pulsed input and washout. Zbl 1184.37066
Yuan, Sanling; Zhao, Yu; Xiao, Anfeng
2009
Oscillations in a plasmid turbidostat model with delayed feedback control. Zbl 1214.92074
Yuan, Sanling; Song, Yongli; Li, Junhui
2011
Using an age-structured COVID-19 epidemic model and data to model virulence evolution in Wuhan, China. Zbl 1484.92106
Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia; Yuan, Sanling
2022
Noise-induced transitions in a non-smooth SIS epidemic model with media alert. Zbl 1471.92361
Yang, Anji; Song, Baojun; Yuan, Sanling
2021
Dynamics of a toxic producing phytoplankton-zooplankton model with three-dimensional patch. Zbl 1478.92254
Yang, Jingen; Yuan, Sanling
2021
Improved stability conditions for a class of stochastic Volterra-Levin equations. Zbl 1410.34225
Zhao, Dianli; Yuan, Sanling; Zhang, Tiansi
2014
Sensitivity analysis and feedback control of noise-induced extinction for competition chemostat model with mutualism. Zbl 07550331
Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua
2018
A pest control model with state-dependent impulses. Zbl 1323.92172
Ji, Xuehui; Yuan, Sanling; Chen, Lansun
2015
Global stability and Hopf bifurcation of an SIS epidemic model with time delays. Zbl 0988.92026
Yuan, Sanling; Ma, Zhien
2001
An SIS model with nonlinear saturated infectious force. Zbl 0994.92035
Yuan, Sanling; Jiang, Liqiang
2001
Confidence domain in the stochastic competition chemostat model with feedback control. Zbl 1424.34292
Xu, Chao-qun; Yuan, San-ling; Zhang, Tong-hua
2018
Stability of a stochastic SEIS model with saturation incidence and latent period. Zbl 1448.92301
Ji, Xuehui; Yuan, Sanling; Li, Jiao
2017
About the optimal harvesting of a fuzzy predator-prey system: a bioeconomic model incorporating prey refuge and predator mutual interference. Zbl 1422.92137
Yu, Xingwang; Yuan, Sanling; Zhang, Tonghua
2018
Break-even concentration and periodic behavior of a stochastic chemostat model with seasonal fluctuation. Zbl 1485.92106
Zhao, Dianli; Yuan, Sanling
2017
Disease invasion risk in a growing population. Zbl 1345.92159
Yuan, Sanling; van den Driessche, P.; Willeboordse, Frederick H.; Shuai, Zhisheng; Ma, Junling
2016
Analysis of a stochastic model for algal bloom with nutrient recycling. Zbl 1346.92057
Ji, Xuehui; Yuan, Sanling; Zhu, Huaiping
2016
Host contact structure is important for the recurrence of influenza A. Zbl 1400.92498
Jaramillo, J. M.; Ma, Junling; van den Driessche, P.; Yuan, Sanling
2018
A note on persistence and extinction of a randomized food-limited logistic population model. Zbl 1338.92118
Zhao, Dianli; Yuan, Sanling
2014
Study on an SIS epidemic model with time variant delay. Zbl 1027.92021
Yuan, Sanling; Ma, Zhien
2002
Global stability on an SIS epidemic model with time delays. Zbl 1070.92045
Yuan, Sanling; Ma, Zhien; Han, Maoan
2005
Global existence of a positive periodic solution to a predator-prey system. Zbl 0978.34037
Yuan, Sanling; Jin, Zhen; Ma, Zhi’en
2000
Survival and stationary distribution in a stochastic SIS model. Zbl 1417.92205
Zhou, Yanli; Zhang, Weiguo; Yuan, Sanling
2013
LS method and qualitative analysis of traveling wave solutions of Fisher equation. Zbl 1224.35051
Li, Xiangzheng; Zhang, Weiguo; Yuan, Sanling
2010
Dynamics of a ratio-dependent population model for green sea turtle with age structure. Zbl 1460.92181
Wei, Yingying; Song, Baojun; Yuan, Sanling
2021
Threshold dynamics of the stochastic epidemic model with jump-diffusion infection force. Zbl 1461.92128
Zhao, Dianli; Yuan, Sanling
2019
Critical value in a SIR network model with heterogeneous infectiousness and susceptibility. Zbl 1466.92216
Yan, Shuixian; Yuan, Sanling
2020
The effect of delay interval on the feedback control for a turbidostat model. Zbl 1472.93080
Yu, Tingting; Yuan, Sanling; Zhang, Tonghua
2021
A SIR epidemic model with varying population size. Zbl 1162.92321
Jin, Zhen; Ma, Zhien; Yuan, Sanling
2003
Joint influence of leakage delays and proportional delays on almost periodic solutions for FCNNs. Zbl 1429.34046
Xu, C.; Liao, M.; Li, P.; Guo, Yong; Yuan, S.
2020
Persistence and extinction in a stochastic SIRS epidemic model. Zbl 1340.92090
Zhou, Yanli; Zhang, Weiguo; Yuan, Sanling
2015
A predator-prey model with different response functions to juvenile and adult prey in deterministic and stochastic environments. Zbl 07427434
Zhang, Shengqiang; Yuan, Sanling; Zhang, Tonghua
2022
Using an age-structured COVID-19 epidemic model and data to model virulence evolution in Wuhan, China. Zbl 1484.92106
Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia; Yuan, Sanling
2022
Spatiotemporal patterns of a diffusive prey-predator model with spatial memory and pregnancy period in an intimidatory environment. Zbl 1483.92115
Wang, Cuihua; Yuan, Sanling; Wang, Hao
2022
Competitive exclusion in a general multi-species chemostat model with stochastic perturbations. Zbl 1460.92129
Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua
2021
The impact of hospital resources and environmental perturbations to the dynamics of SIRS model. Zbl 1459.92133
Lan, Guijie; Yuan, Sanling; Song, Baojun
2021
Noise-induced transitions in a non-smooth SIS epidemic model with media alert. Zbl 1471.92361
Yang, Anji; Song, Baojun; Yuan, Sanling
2021
Dynamics of a toxic producing phytoplankton-zooplankton model with three-dimensional patch. Zbl 1478.92254
Yang, Jingen; Yuan, Sanling
2021
Dynamics of a ratio-dependent population model for green sea turtle with age structure. Zbl 1460.92181
Wei, Yingying; Song, Baojun; Yuan, Sanling
2021
The effect of delay interval on the feedback control for a turbidostat model. Zbl 1472.93080
Yu, Tingting; Yuan, Sanling; Zhang, Tonghua
2021
Threshold behavior in a stochastic algal growth model with stoichiometric constraints and seasonal variation. Zbl 1433.92045
Zhao, Shengnan; Yuan, Sanling; Wang, Hao
2020
Noise-induced transitions in a nonsmooth producer-grazer model with stoichiometric constraints. Zbl 1443.92195
Yuan, Sanling; Wu, Dongmei; Lan, Guijie; Wang, Hao
2020
Asymptotic properties of a stochastic chemostat model with two distributed delays and nonlinear perturbation. Zbl 1443.34093
Yu, Xingwang; Yuan, Sanling
2020
Pattern dynamics in a diffusive predator-prey model with hunting cooperations. Zbl 1489.92128
Yan, Shuixian; Jia, Dongxue; Zhang, Tonghua; Yuan, Sanling
2020
Turing pattern induced by cross-diffusion in a predator-prey model with pack predation-herd behavior. Zbl 1448.92257
Yang, Jingen; Zhang, Tonghua; Yuan, Sanling
2020
Noise-induced bifurcations in the stochastic chemostat model with general nutrient uptake functions. Zbl 1444.92103
Zhao, Dianli; Yuan, Sanling
2020
Critical value in a SIR network model with heterogeneous infectiousness and susceptibility. Zbl 1466.92216
Yan, Shuixian; Yuan, Sanling
2020
Joint influence of leakage delays and proportional delays on almost periodic solutions for FCNNs. Zbl 1429.34046
Xu, C.; Liao, M.; Li, P.; Guo, Yong; Yuan, S.
2020
Survival and ergodicity of a stochastic phytoplankton-zooplankton model with toxin-producing phytoplankton in an impulsive polluted environment. Zbl 1428.92097
Yu, Xingwang; Yuan, Sanling; Zhang, Tonghua
2019
Asymptotic properties of stochastic nutrient-plankton food chain models with nutrient recycling. Zbl 1435.34056
Yu, Xingwang; Yuan, Sanling; Zhang, Tonghua
2019
Pattern dynamics of a diffusive toxin producing phytoplankton-zooplankton model with three-dimensional patch. Zbl 1411.35257
Jia, Dongxue; Zhang, Tonghua; Yuan, Sanling
2019
Cross-diffusion induced Turing instability for a competition model with saturation effect. Zbl 1428.92091
Li, Qiang; Liu, Zhijun; Yuan, Sanling
2019
Stochastic dynamics of the delayed chemostat with Lévy noises. Zbl 1422.34246
Zhao, Dianli; Yuan, Sanling; Liu, Haidong
2019
Regulation of phosphate uptake kinetics in the bloom-forming dinoflagellates Prorocentrum donghaiense with emphasis on two-stage dynamic process. Zbl 1406.92270
Jiang, Jie; Shen, Anglu; Wang, Hao; Yuan, Sanling
2019
Optimal harvesting strategy of a stochastic inshore-offshore hairtail fishery model driven by Lévy jumps in a polluted environment. Zbl 1439.92209
Zhao, Yu; You, Liang; Burkow, Daniel; Yuan, Sanling
2019
Threshold dynamics of the stochastic epidemic model with jump-diffusion infection force. Zbl 1461.92128
Zhao, Dianli; Yuan, Sanling
2019
The effects of toxin-producing phytoplankton and environmental fluctuations on the planktonic blooms. Zbl 1390.92129
Yu, Xingwang; Yuan, Sanling; Zhang, Tonghua
2018
Average break-even concentration in a simple chemostat model with telegraph noise. Zbl 1392.92085
Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua
2018
Persistence and ergodicity of a stochastic single species model with Allee effect under regime switching. Zbl 07263350
Yu, Xingwang; Yuan, Sanling; Zhang, Tonghua
2018
Random periodic solution for a stochastic SIS epidemic model with constant population size. Zbl 1445.92288
Zhao, Dianli; Yuan, Sanling; Liu, Haidong
2018
Sharp conditions for the existence of a stationary distribution in one classical stochastic chemostat. Zbl 1428.34084
Zhao, Dianli; Yuan, Sanling
2018
An edge-based SIR model for sexually transmitted diseases on the contact network. Zbl 1397.92696
Yan, Shuixian; Zhang, Yu; Ma, Junling; Yuan, Sanling
2018
Sensitivity analysis and feedback control of noise-induced extinction for competition chemostat model with mutualism. Zbl 07550331
Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua
2018
Confidence domain in the stochastic competition chemostat model with feedback control. Zbl 1424.34292
Xu, Chao-qun; Yuan, San-ling; Zhang, Tong-hua
2018
About the optimal harvesting of a fuzzy predator-prey system: a bioeconomic model incorporating prey refuge and predator mutual interference. Zbl 1422.92137
Yu, Xingwang; Yuan, Sanling; Zhang, Tonghua
2018
Host contact structure is important for the recurrence of influenza A. Zbl 1400.92498
Jaramillo, J. M.; Ma, Junling; van den Driessche, P.; Yuan, Sanling
2018
Stochastic periodic solution of a non-autonomous toxic-producing phytoplankton allelopathy model with environmental fluctuation. Zbl 1465.92143
Zhao, Yu; Yuan, Sanling; Zhang, Tonghua
2017
Asymptotic behavior of a delayed stochastic logistic model with impulsive perturbations. Zbl 1364.65011
Yuan, Sanling; Ji, Xuehui; Zhu, Huaiping
2017
Optimal harvesting policy of a stochastic two-species competitive model with Lévy noise in a polluted environment. Zbl 1495.92065
Zhao, Yu; Yuan, Sanling
2017
Stability of a stochastic SEIS model with saturation incidence and latent period. Zbl 1448.92301
Ji, Xuehui; Yuan, Sanling; Li, Jiao
2017
Break-even concentration and periodic behavior of a stochastic chemostat model with seasonal fluctuation. Zbl 1485.92106
Zhao, Dianli; Yuan, Sanling
2017
Dynamics of delayed stochastic predator-prey models with feedback controls based on discrete observations. Zbl 1365.34144
Zhao, Dianli; Yuan, Sanling
2017
Competition in the chemostat: a stochastic multi-species model and its asymptotic behavior. Zbl 1350.34041
Xu, Chaoqun; Yuan, Sanling
2016
Global dynamics of a predator-prey model with defense mechanism for prey. Zbl 1351.34052
Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua
2016
Critical result on the break-even concentration in a single-species stochastic chemostat model. Zbl 1335.92064
Zhao, Dianli; Yuan, Sanling
2016
Threshold behavior of a stochastic SIS model with Lévy jumps. Zbl 1410.92149
Zhou, Yanli; Yuan, Sanling; Zhao, Dianli
2016
The stationary distribution and ergodicity of a stochastic phytoplankton allelopathy model under regime switching. Zbl 1473.92047
Zhao, Yu; Yuan, Sanling; Zhang, Tonghua
2016
The threshold of a stochastic SIVS epidemic model with nonlinear saturated incidence. Zbl 1400.92565
Zhao, Dianli; Zhang, Tiansi; Yuan, Sanling
2016
Stability in distribution of a stochastic hybrid competitive Lotka-Volterra model with Lévy jumps. Zbl 1355.37072
Zhao, Yu; Yuan, Sanling
2016
The effect of Lévy noise on the survival of a stochastic competitive model in an impulsive polluted environment. Zbl 1471.92390
Zhao, Yu; Yuan, Sanling; Zhang, Qimin
2016
Stochastic sensitivity analysis for a competitive turbidostat model with inhibitory nutrients. Zbl 1352.34079
Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua
2016
Dynamics of the stochastic Leslie-Gower predator-prey system with randomized intrinsic growth rate. Zbl 1400.92454
Zhao, Dianli; Yuan, Sanling
2016
Dynamics of a diffusive age-structured HBV model with saturating incidence. Zbl 1353.35290
Duan, Xichao; Yuan, Sanling; Wang, Kaifa
2016
Persistence and stability of the disease-free equilibrium in a stochastic epidemic model with imperfect vaccine. Zbl 1418.92211
Zhao, Dianli; Yuan, Sanling
2016
Disease invasion risk in a growing population. Zbl 1345.92159
Yuan, Sanling; van den Driessche, P.; Willeboordse, Frederick H.; Shuai, Zhisheng; Ma, Junling
2016
Analysis of a stochastic model for algal bloom with nutrient recycling. Zbl 1346.92057
Ji, Xuehui; Yuan, Sanling; Zhu, Huaiping
2016
An analogue of break-even concentration in a simple stochastic chemostat model. Zbl 1328.92047
Xu, Chaoqun; Yuan, Sanling
2015
Survival and stationary distribution analysis of a stochastic competitive model of three species in a polluted environment. Zbl 1335.92087
Zhao, Yu; Yuan, Sanling; Ma, Junling
2015
Numerical solution of a fuzzy stochastic single-species age-structure model in a polluted environment. Zbl 1410.92168
Zhao, Yu; Yuan, Sanling; Zhang, Qimin
2015
Spatial periodic solutions in a delayed diffusive predator-prey model with herd behavior. Zbl 1327.35381
Xu, Chaoqun; Yuan, Sanling
2015
A pest control model with state-dependent impulses. Zbl 1323.92172
Ji, Xuehui; Yuan, Sanling; Chen, Lansun
2015
Persistence and extinction in a stochastic SIRS epidemic model. Zbl 1340.92090
Zhou, Yanli; Zhang, Weiguo; Yuan, Sanling
2015
Survival and stationary distribution of a SIR epidemic model with stochastic perturbations. Zbl 1335.92109
Zhou, Yanli; Zhang, Weiguo; Yuan, Sanling
2014
Global stability of an SVIR model with age of vaccination. Zbl 1354.92083
Duan, Xichao; Yuan, Sanling; Li, Xuezhi
2014
Global stability of an SVEIR epidemic model with ages of vaccination and latency. Zbl 1369.92117
Duan, Xichao; Yuan, Sanling; Qiu, Zhipeng; Ma, Junling
2014
Persistence and extinction in stochastic SIRS models with general nonlinear incidence rate. Zbl 1294.34054
Zhou, Yanli; Zhang, Weiguo; Yuan, Sanling; Hu, Hongxiao
2014
Stability and Hopf bifurcation in a delayed predator-prey system with herd behavior. Zbl 1449.92041
Xu, Chaoqun; Yuan, Sanling
2014
$$3/2$$-stability conditions for a class of Volterra-Levin equations. Zbl 1300.34161
Zhao, Dianli; Yuan, Sanling
2014
Solution of regular second- and fourth-order Sturm-Liouville problems by exact dynamic stiffness method analogy. Zbl 1356.70027
Yuan, S.; Ye, K.; Xiao, C.; Kennedy, D.; Williams, F.
2014
Improved stability conditions for a class of stochastic Volterra-Levin equations. Zbl 1410.34225
Zhao, Dianli; Yuan, Sanling; Zhang, Tiansi
2014
A note on persistence and extinction of a randomized food-limited logistic population model. Zbl 1338.92118
Zhao, Dianli; Yuan, Sanling
2014
Spatial dynamics in a predator-prey model with herd behavior. Zbl 1323.92197
Yuan, Sanling; Xu, Chaoqun; Zhang, Tonghua
2013
Asymptotic behavior of a chemostat model with stochastic perturbation on the dilution rate. Zbl 1402.92289
Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua
2013
Survival and stationary distribution in a stochastic SIS model. Zbl 1417.92205
Zhou, Yanli; Zhang, Weiguo; Yuan, Sanling
2013
Retraction notice to: “Bifurcation analysis in the delayed Leslie-Gower predator-prey system”. Zbl 1427.34099
Song, Yongli; Yuan, Sanling; Zhang, Jianming
2013
Dynamics of a plasmid chemostat model with periodic nutrient input and delayed nutrient recycling. Zbl 1327.92052
Yuan, Sanling; Zhang, Tonghua
2012
Bifurcation and chaos in a pulsed plankton model with instantaneous nutrient recycling. Zbl 1256.34040
Yuan, Sanling; Zhao, Yu; Xiao, Anfeng; Zhang, Tonghua
2012
Analysis on an epidemic model with a ratio-dependent nonlinear incidence rate. Zbl 1297.92078
Li, Bo; Yuan, Sanling; Zhang, Weiguo
2011
Delay induced oscillations in a turbidostat with feedback control. Zbl 1227.92048
Yuan, Sanling; Li, Pan; Song, Yongli
2011
Bifurcation analysis of a model of plasmid-bearing, plasmid-free competition in a pulsed chemostat with an internal inhibitor. Zbl 1230.37109
Yuan, Sanling; Zhang, Weiguo; Zhao, Yu
2011
Oscillations in a plasmid turbidostat model with delayed feedback control. Zbl 1214.92074
Yuan, Sanling; Song, Yongli; Li, Junhui
2011
Stability and global Hopf bifurcation in a delayed predator-prey system. Zbl 1183.37156
Yuan, Sanling; Zhang, Fengqin
2010
Stability and direction of Hopf bifurcations in a pair of identical tri-neuron network loops. Zbl 1204.37090
Yuan, Sanling; Li, Pan
2010
LS method and qualitative analysis of traveling wave solutions of Fisher equation. Zbl 1224.35051
Li, Xiangzheng; Zhang, Weiguo; Yuan, Sanling
2010
Retracted: Stability and Hopf bifurcations in a delayed Leslie-Gower predator-prey system. Zbl 1170.34051
Yuan, Sanling; Song, Yongli
2009
Retracted: Bifurcation analysis in the delayed Leslie-Gower predator-prey system. Zbl 1205.34089
Song, Yongli; Yuan, Sanling; Zhang, Jianming
2009
Bifurcation and stability analysis for a delayed Leslie-Gower predator-prey system. Zbl 1201.34132
Yuan, Sanling; Song, Yongli
2009
Global dynamics of an epidemic model with a ratio-dependent nonlinear incidence rate. Zbl 1177.37089
Yuan, Sanling; Li, Bo
2009
Global asymptotic behavior in chemostat-type competition models with delay. Zbl 1162.34335
Yuan, Sanling; Zhang, Weiguo; Han, Maoan
2009
Competition between plasmid-bearing and plasmid-free organisms in a chemostat with pulsed input and washout. Zbl 1184.37066
Yuan, Sanling; Zhao, Yu; Xiao, Anfeng
2009
Competition between two microorganisms in the chemostat with general variable yields and general growth rates. Zbl 1179.34048
Luo, Jianmei; Yuan, Sanling; Zhang, Weiguo
2008
Bifurcation analysis for a regulated logistic growth model. Zbl 1167.34377
Song, Yongli; Yuan, Sanling
2007
Bifurcation analysis in a predator - prey system with time delay. Zbl 1085.92052
Song, Yongli; Yuan, Sanling
2006
Competition between plasmid-bearing and plasmid-free organisms in a chemostat with nutrient recycling and an inhibitor. Zbl 1112.34062
Yuan, Sanling; Xiao, Dongmei; Han, Maoan
2006
Global stability on an SIS epidemic model with time delays. Zbl 1070.92045
Yuan, Sanling; Ma, Zhien; Han, Maoan
2005
Bifurcation analysis of a chemostat model with two distributed delays. Zbl 1059.34059
Yuan, Sanling; Han, Maoan
2004
Direction and stability of bifurcating periodic solutions of a chemostat model with two distributed delays. Zbl 1129.34328
Yuan, Sanling; Song, Yongli; Han, Maoan
2004
Competition in the chemostat: convergence of a model with delayed response in growth. Zbl 1036.92037
Yuan, Sanling; Han, Maoan; Ma, Zhien
2003
Persistence and periodic solution of a nonautonomous SIS model with delays. Zbl 1036.34074
Yuan, San-ling; Ma, Zhi-en; Jin, Zhen
2003
A SIR epidemic model with varying population size. Zbl 1162.92321
Jin, Zhen; Ma, Zhien; Yuan, Sanling
2003
Study on an SIS epidemic model with time variant delay. Zbl 1027.92021
Yuan, Sanling; Ma, Zhien
2002
...and 4 more Documents
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### Cited by 1,110 Authors

 65 Jiang, Daqing 53 Yuan, Sanling 43 Zhang, Tonghua 36 Hayat, Tasawar 30 Liu, Qun 24 Meng, Xinzhu 22 Al-saedi, Ahmed Eid Salem 20 Teng, Zhi-dong 19 Liu, Zhijun 18 Huo, Hai-Feng 17 Zhang, Qimin 14 Xia, Yonghui 14 Zhang, Tongqian 13 Wang, Weiming 12 Liu, Haidong 11 Djilali, Salih 11 Liu, Meng 11 Wang, Lianwen 11 Xu, Rui 10 Song, Yongli 10 Xu, Chaoqun 9 Cai, Yongli 9 Li, Zuxiong 9 Meng, Xinyou 9 Wei, Chunjin 9 Xiang, Hong 8 Feng, Tao 8 Gao, Miaomiao 8 Kumar Upadhyay, Ranjit 8 Yuan, Rong 8 Zhang, Xiaofeng 8 Zhao, Min 7 Dai, Chuanjun 7 Jiang, Zhichao 7 Li, Zhiming 7 Ma, Wanbiao 7 Shao, Yuanfu 7 Wang, Hailing 7 Yang, Junyuan 7 Ye, Ming 7 Zhang, Qingling 7 Zhang, Shuwen 7 Zhao, Wencai 7 Zhao, Yu 6 Duan, Xichao 6 Han, Maoan 6 Jin, Zhen 6 Lan, Guijie 6 Liu, Chao 6 Liu, Shutang 6 Liu, Xia 6 Liu, Zhibin 6 Lu, Chun 6 Mu, Yu 6 Samanta, Sudip K. 6 Sun, Shulin 6 Wang, Liang 6 Wei, Junjie 6 Xiang, Huili 6 Yu, Xingwang 6 Zhang, Xiaobing 6 Zhang, Zizhen 6 Zhao, Dianli 5 Banerjee, Malay 5 Chen, Lansun 5 Hu, Jing 5 Jiang, Heping 5 Kiouach, Driss 5 Li, Xining 5 Liu, Liya 5 Qiu, Zhipeng 5 Sabbar, Yassine 5 Singh, Anuraj 5 Singh, Teekam 5 Song, Xinyu 5 Tan, Ronghua 5 Tang, Xiaosong 5 Wang, Jinliang 5 Wang, Kai 5 Wang, Wen 5 Wang, Yan 5 Yao, Yong 5 Yu, Hengguo 5 Zhang, Shengqiang 5 Zhang, Xinhong 5 Zhang, Yue 4 Banerjee, Sandip 4 Cao, Zhongwei 4 Chang, Zhengbo 4 Chattopadhyay, Joydev 4 Chen, Zhewen 4 Chi, Mengnan 4 Du, Yanyan 4 He, Mengxin 4 Jiao, Jianjun 4 Li, Zhong 4 Liao, Tiancai 4 Lin, Yiping 4 Liu, Gui Rong 4 Liu, Juan ...and 1,010 more Authors
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### Cited in 102 Serials

 78 Physica A 57 Chaos, Solitons and Fractals 52 Advances in Difference Equations 47 Mathematical Biosciences and Engineering 44 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 36 Applied Mathematics and Computation 31 International Journal of Biomathematics 26 Applied Mathematics Letters 26 Discrete Dynamics in Nature and Society 24 Communications in Nonlinear Science and Numerical Simulation 22 Mathematics and Computers in Simulation 22 Nonlinear Analysis. Real World Applications 22 Journal of Applied Mathematics and Computing 20 Complexity 20 Nonlinear Dynamics 20 Abstract and Applied Analysis 19 Journal of the Franklin Institute 17 Journal of Applied Analysis and Computation 14 Discrete and Continuous Dynamical Systems. Series B 14 Journal of Biological Dynamics 11 Applied Mathematical Modelling 9 Journal of Mathematical Analysis and Applications 9 Journal of Biological Systems 7 Stochastic Analysis and Applications 7 Qualitative Theory of Dynamical Systems 7 Journal of Theoretical Biology 6 Mathematical Biosciences 6 Mathematical Problems in Engineering 6 Computational & Mathematical Methods in Medicine 5 Bulletin of Mathematical Biology 5 Journal of Nonlinear Science 5 Journal of Mathematical Chemistry 5 Nonlinear Analysis. Hybrid Systems 5 Journal of Nonlinear Science and Applications 5 AIMS Mathematics 4 Computers & Mathematics with Applications 4 Journal of Inequalities and Applications 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 Nonlinear Analysis. Modelling and Control 3 Mathematical Methods in the Applied Sciences 3 Journal of Computational and Applied Mathematics 3 Journal of Differential Equations 3 Acta Applicandae Mathematicae 3 Applied Mathematics. Series B (English Edition) 3 Computational and Applied Mathematics 3 Filomat 3 The ANZIAM Journal 3 Journal of Applied Mathematics 3 Acta Mathematica Scientia. Series A. (Chinese Edition) 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Communications on Pure and Applied Analysis 3 Mathematical Modelling of Natural Phenomena 3 Journal of Applied Nonlinear Dynamics 2 Applicable Analysis 2 Journal of Mathematical Biology 2 Rocky Mountain Journal of Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Fractals 2 Journal of Difference Equations and Applications 2 Chaos 2 Methodology and Computing in Applied Probability 2 Journal of Systems Science and Complexity 2 SIAM Journal on Applied Dynamical Systems 2 Boundary Value Problems 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Mathematics 2 International Journal of Applied and Computational Mathematics 1 International Journal of Control 1 Physics Letters. A 1 Functiones et Approximatio. Commentarii Mathematici 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Statistics & Probability Letters 1 Applied Numerical Mathematics 1 Mathematical and Computer Modelling 1 Neural Networks 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 Journal of Dynamics and Differential Equations 1 Topological Methods in Nonlinear Analysis 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Acta Mathematica Sinica. English Series 1 Journal of Dynamical and Control Systems 1 Entropy 1 South East Asian Journal of Mathematics and Mathematical Sciences 1 Hacettepe Journal of Mathematics and Statistics 1 Fuzzy Optimization and Decision Making 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Stochastics 1 Journal of Fixed Point Theory and Applications 1 Journal of Mathematical Inequalities 1 International Journal of Differential Equations 1 Journal of Mathematics in Industry 1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 1 Evolution Equations and Control Theory 1 Discontinuity, Nonlinearity, and Complexity 1 East Asian Journal on Applied Mathematics 1 Journal of Function Spaces 1 Open Mathematics ...and 2 more Serials
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### Cited in 25 Fields

 695 Biology and other natural sciences (92-XX) 394 Ordinary differential equations (34-XX) 204 Probability theory and stochastic processes (60-XX) 130 Dynamical systems and ergodic theory (37-XX) 128 Partial differential equations (35-XX) 60 Statistical mechanics, structure of matter (82-XX) 51 Systems theory; control (93-XX) 37 Numerical analysis (65-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 13 Real functions (26-XX) 10 Difference and functional equations (39-XX) 8 Integral equations (45-XX) 5 Operator theory (47-XX) 5 Computer science (68-XX) 4 Statistics (62-XX) 3 Functional analysis (46-XX) 2 Mechanics of particles and systems (70-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX)