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Author ID: song.yongli Recent zbMATH articles by "Song, Yongli"
Published as: Song, Yongli; Song, Yong-li; Song, Yong-Li
External Links: ORCID · ResearchGate · dblp
all top 5

Serials

10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 Nonlinear Dynamics
7 Applied Mathematics and Computation
6 Journal of Mathematical Analysis and Applications
6 Journal of Differential Equations
5 Chaos, Solitons and Fractals
5 Applied Mathematical Modelling
5 Communications in Nonlinear Science and Numerical Simulation
5 Nonlinear Analysis. Real World Applications
4 Applied Mathematics Letters
4 Abstract and Applied Analysis
3 Mathematical Methods in the Applied Sciences
3 Journal of Nonlinear Science
3 Discrete and Continuous Dynamical Systems. Series B
3 SIAM Journal on Applied Dynamical Systems
2 Biological Cybernetics
2 Computers & Mathematics with Applications
2 Nonlinearity
2 Studies in Applied Mathematics
2 Chinese Annals of Mathematics. Series A
2 Acta Mathematicae Applicatae Sinica. English Series
2 Journal of Dynamics and Differential Equations
2 Chaos
2 Journal of Hangzhou Normal University. Natural Sciences Edition
1 Applicable Analysis
1 IMA Journal of Applied Mathematics
1 Physics Letters. A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Journal of Computational and Applied Mathematics
1 Mathematics and Computers in Simulation
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Bulletin of the Korean Mathematical Society
1 Physica D
1 Mathematical and Computer Modelling
1 Mathematica Applicata
1 SIAM Journal on Applied Mathematics
1 Journal of Mathematical Chemistry
1 Differential Equations and Dynamical Systems
1 Journal of Shanghai Jiaotong University (English Edition)
1 Journal of Dynamical and Control Systems
1 Qualitative Theory of Dynamical Systems
1 Journal of Northwest Normal University. Natural Science
1 Journal of Tongji University. Natural Science
1 Journal of Applied Analysis and Computation

Publications by Year

Citations contained in zbMATH Open

98 Publications have been cited 2,210 times in 1,307 Documents Cited by Year
Local Hopf bifurcation and global periodic solutions in a delayed predator–prey system. Zbl 1067.34076
Song, Yongli; Wei, Junjie
135
2005
Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays. Zbl 1062.34079
Song, Yongli; Han, Maoan; Wei, Junjie
133
2005
Bifurcation analysis for Chen’s system with delayed feedback and its application to control of chaos. Zbl 1112.37303
Song, Yongli; Wei, Junjie
112
2004
Spatiotemporal dynamics of the diffusive mussel-algae model near Turing-Hopf bifurcation. Zbl 1382.35035
Song, Yongli; Jiang, Heping; Liu, Quan-Xing; Yuan, Yuan
79
2017
Stability, steady-state bifurcations, and Turing patterns in a predator-prey model with herd behavior and prey-taxis. Zbl 1373.35324
Song, Yongli; Tang, Xiaosong
78
2017
Turing-Hopf bifurcation in the reaction-diffusion equations and its applications. Zbl 1510.35150
Song, Yongli; Zhang, Tonghua; Peng, Yahong
78
2016
Bifurcation analysis in a predator-prey system with time delay. Zbl 1085.92052
Song, Yongli; Yuan, Sanling
70
2006
Stability and Hopf bifurcations in a competitive Lotka–Volterra system with two delays. Zbl 1067.34075
Song, Yongli; Han, Maoan; Peng, Yahong
69
2004
Spatiotemporal dynamics in the single population model with memory-based diffusion and nonlocal effect. Zbl 1423.35027
Song, Yongli; Wu, Shuhao; Wang, Hao
68
2019
Stability, Hopf bifurcations and spatial patterns in a delayed diffusive predator-prey model with herd behavior. Zbl 1410.37092
Tang, Xiaosong; Song, Yongli
65
2015
Cross-diffusion induced spatiotemporal patterns in a predator-prey model with herd behavior. Zbl 1336.92073
Tang, Xiaosong; Song, Yongli
59
2015
Spatiotemporal dynamics in a diffusive ratio-dependent predator-prey model near a Hopf-Turing bifurcation point. Zbl 1366.92111
Song, Yongli; Zou, Xingfu
54
2014
Turing-Hopf bifurcation analysis of a predator-prey model with herd behavior and cross-diffusion. Zbl 1349.37091
Tang, Xiaosong; Song, Yongli; Zhang, Tonghua
52
2016
Bifurcations for a predator-prey system with two delays. Zbl 1132.34053
Song, Yongli; Peng, Yahong; Wei, Junjie
50
2008
Turing-Hopf bifurcation in the reaction-diffusion system with delay and application to a diffusive predator-prey model. Zbl 1461.35035
Song, Yongli; Jiang, Heping; Yuan, Yuan
50
2019
Bifurcation analysis and Turing instability in a diffusive predator-prey model with herd behavior and hyperbolic mortality. Zbl 1355.92098
Tang, Xiaosong; Song, Yongli
49
2015
Bifurcation analysis of a diffusive ratio-dependent predator-prey model. Zbl 1314.92144
Song, Yongli; Zou, Xingfu
42
2014
Retracted: Stability and Hopf bifurcations in a delayed Leslie-Gower predator-prey system. Zbl 1170.34051
Yuan, Sanling; Song, Yongli
38
2009
Stability and spatiotemporal dynamics in a diffusive predator-prey model with nonlocal prey competition. Zbl 1425.92167
Wu, Shuhao; Song, Yongli
38
2019
The spatially inhomogeneous Hopf bifurcation induced by memory delay in a memory-based diffusion system. Zbl 1472.35034
Song, Yongli; Peng, Yahong; Zhang, Tonghua
35
2021
Spatial resonance and Turing-Hopf bifurcations in the Gierer-Meinhardt model. Zbl 1344.37061
Yang, Rui; Song, Yongli
34
2016
Retracted: Bifurcation analysis in the delayed Leslie-Gower predator-prey system. Zbl 1205.34089
Song, Yongli; Yuan, Sanling; Zhang, Jianming
33
2009
Local and global Hopf bifurcation in a delayed hematopoiesis model. Zbl 1090.37547
Song, Yongli; Wei, Junjie; Han, Maoan
31
2004
Persistence, stability and Hopf bifurcation in a diffusive ratio-dependent predator-prey model with delay. Zbl 1300.35144
Song, Yongli; Peng, Yahong; Zou, Xingfu
31
2014
Hopf bifurcation in a reaction-diffusion equation with distributed delay and Dirichlet boundary condition. Zbl 1386.35421
Shi, Qingyan; Shi, Junping; Song, Yongli
27
2017
Bifurcation analysis and spatio-temporal patterns of nonlinear oscillations in a delayed neural network with unidirectional coupling. Zbl 1171.34058
Song, Yongli; Tadé, Moses O.; Zhang, Tonghua
26
2009
Bifurcation and stability analysis for a delayed Leslie-Gower predator-prey system. Zbl 1201.34132
Yuan, Sanling; Song, Yongli
25
2009
Pattern dynamics in a Gierer-Meinhardt model with a saturating term. Zbl 1443.92033
Song, Yongli; Yang, Rui; Sun, Guiquan
24
2017
Travelling wavefronts in the diffusive single species model with Allee effect and distributed delay. Zbl 1041.92027
Song, Yongli; Peng, Yahong; Han, Maoan
21
2004
Delay-induced Bogdanov-Takens bifurcation in a Leslie-Gower predator-prey model with nonmonotonic functional response. Zbl 1457.92140
Jiang, Jiao; Song, Yongli
20
2014
Stability switches and Hopf bifurcations in a pair of delay-coupled oscillators. Zbl 1126.34047
Song, Yongli; Wei, Junjie; Yuan, Yuan
20
2007
Hopf bifurcation and pattern formation in a delayed diffusive logistic model with spatial heterogeneity. Zbl 1404.35262
Shi, Qingyan; Shi, Junping; Song, Yongli
20
2019
Bifurcation analysis of a diffusive predator-prey system with a herd behavior and quadratic mortality. Zbl 1332.35370
Xu, Zhou; Song, Yongli
18
2015
Stability and cross-diffusion-driven instability in a diffusive predator-prey system with hunting cooperation functional response. Zbl 1437.35679
Song, Danxia; Li, Chao; Song, Yongli
18
2020
Stability and Turing patterns in a predator-prey model with hunting cooperation and Allee effect in prey population. Zbl 1448.92249
Song, Danxia; Song, Yongli; Li, Chao
18
2020
Hopf bifurcation and spatio-temporal patterns in delay-coupled van der Pol oscillators. Zbl 1215.34084
Song, Yongli
17
2011
Stability and bifurcation analysis of a reaction-diffusion equation with distributed delay. Zbl 1331.35191
Zuo, Wenjie; Song, Yongli
17
2015
Bogdanov-Takens bifurcation in an oscillator with negative damping and delayed position feedback. Zbl 1438.34249
Jiang, Jiao; Song, Yongli
17
2013
Existence of entire large positive solutions of a semilinear elliptic system. Zbl 1126.35017
Peng, Yahong; Song, Yongli
16
2004
Stability and bifurcation analysis of a reaction-diffusion equation with spatio-temporal delay. Zbl 1515.35040
Zuo, Wenjie; Song, Yongli
16
2015
Bifurcation analysis for a regulated logistic growth model. Zbl 1167.34377
Song, Yongli; Yuan, Sanling
16
2007
Memory-based movement with spatiotemporal distributed delays in diffusion and reaction. Zbl 1510.35149
Song, Yongli; Wu, Shuhao; Wang, Hao
16
2021
Stability and double-Hopf bifurcations of a Gause-Kolmogorov-type predator-prey system with indirect prey-taxis. Zbl 1478.35025
Zuo, Wenjie; Song, Yongli
16
2021
The stability and Hopf bifurcation analysis of a gene expression model. Zbl 1263.34118
Zhang, Tonghua; Song, Yongli; Zang, Hong
16
2012
Stability and bifurcation analysis on a logistic model with discrete and distributed delays. Zbl 1161.34056
Song, Yongli; Peng, Yahong
15
2006
Spatiotemporal dynamics of a diffusive predator-prey model with nonlocal effect and delay. Zbl 1450.35051
Wu, Shuhao; Song, Yongli
15
2020
Stability switches, oscillatory multistability, and spatio-temporal patterns of nonlinear oscillations in recurrently delay coupled neural networks. Zbl 1342.92023
Song, Yongli; Makarov, Valeri A.; Velarde, Manuel G.
14
2009
Dynamics of a ratio-dependent stage-structured predator-prey model with delay. Zbl 1387.34083
Song, Yongli; Yin, Tao; Shu, Hongying
14
2017
Dynamic analysis of a plant-water model with spatial diffusion. Zbl 1490.35033
Sun, Gui-Quan; Zhang, Hong-Tao; Song, Yong-Li; Li, Li; Jin, Zhen
14
2022
Bifurcation, amplitude death and oscillation patterns in a system of three coupled van der Pol oscillators with diffusively delayed velocity coupling. Zbl 1317.34067
Song, Yongli; Xu, Jian; Zhang, Tonghua
13
2011
Stability and Hopf bifurcation in a model of gene expression with distributed time delays. Zbl 1335.37061
Song, Yongli; Han, Yanyan; Zhang, Tonghua
13
2014
Bifurcation analysis on a survival red blood cells model. Zbl 1105.34047
Song, Yongli; Wei, Junjie; Yuan, Yuan
12
2006
Stability switches, Hopf bifurcations, and spatio-temporal patterns in a delayed neural model with bidirectional coupling. Zbl 1186.34120
Song, Yongli; Zhang, Tonghua; Tadé, Moses O.
11
2009
Direction and stability of bifurcating periodic solutions of a chemostat model with two distributed delays. Zbl 1129.34328
Yuan, Sanling; Song, Yongli; Han, Maoan
11
2004
Delay induced oscillations in a turbidostat with feedback control. Zbl 1227.92048
Yuan, Sanling; Li, Pan; Song, Yongli
11
2011
Steady-state, Hopf and steady-state-Hopf bifurcations in delay differential equations with applications to a damped harmonic oscillator with delay feedback. Zbl 1258.34146
Song, Yongli; Jiang, Jiao
11
2012
Spatiotemporal dynamics of a diffusive consumer-resource model with explicit spatial memory. Zbl 1530.92311
Song, Yongli; Shi, Junping; Wang, Hao
10
2022
Delay-induced double Hopf bifurcations in a system of two delay-coupled van der Pol-Duffing oscillators. Zbl 1314.34143
Jiang, Heping; Zhang, Tonghua; Song, Yongli
10
2015
Stability and bifurcation analysis of a delayed Leslie-Gower predator-prey system with nonmonotonic functional response. Zbl 1276.34073
Jiang, Jiao; Song, Yongli
10
2013
Stability switches and Hopf bifurcations in a pair of identical tri-neuron network loops. Zbl 1229.92007
Peng, Yahong; Song, Yongli
9
2009
Delay-induced triple-zero bifurcation in a delayed Leslie-type predator-prey model with additive Allee effect. Zbl 1343.34181
Jiang, Jiao; Song, Yongli; Yu, Pei
9
2016
Hopf bifurcation and delay-induced Turing instability in a diffusive lac operon model. Zbl 1352.35198
Cao, Xin; Song, Yongli; Zhang, Tonghua
9
2016
Bifurcations in a diffusive resource-consumer model with distributed memory. Zbl 1507.35025
Shen, Hao; Song, Yongli; Wang, Hao
8
2023
Effect of spatial average on the spatiotemporal pattern formation of reaction-diffusion systems. Zbl 1498.35036
Shi, Qingyan; Shi, Junping; Song, Yongli
7
2022
Bistability and delay-induced stability switches in a cancer network with the regulation of microRNA. Zbl 1510.92082
Song, Yongli; Cao, Xin; Zhang, Tonghua
7
2018
Normal forms of non-resonance and weak resonance double Hopf bifurcation in the retarded functional differential equations and applications. Zbl 1410.37051
Jiang, Heping; Song, Yongli
7
2015
Spatio-temporal dynamics of a reaction-diffusion equation with the nonlocal spatial average and delay. Zbl 1444.35105
Song, Yongli; Yang, Gaoxiang
6
2020
Spatially inhomogeneous periodic patterns induced by distributed memory in the memory-based single population model. Zbl 1505.92165
Lin, Jiong; Song, Yongli
6
2023
Elements for a general memory structure: properties of recurrent neural networks used to form situation models. Zbl 1145.92305
Makarov, Valeri A.; Song, Yongli; Velarde, Manuel G.; Hübner, David; Cruse, Holk
6
2008
Stability and Hopf bifurcation in a three-neuron unidirectional ring with distributed delays. Zbl 1276.92008
Han, Yanyan; Song, Yongli
6
2012
Normal form of saddle-node-Hopf bifurcation in retarded functional differential equations and applications. Zbl 1336.34100
Jiang, Heping; Jiang, Jiao; Song, Yongli
6
2016
Periodic solutions of a nonautonomous periodic model of population with continuous and discrete time. Zbl 1100.34039
Song, Yongli; Peng, Yahong
5
2006
Stability and Hopf bifurcation in an inverted pendulum with delayed feedback control. Zbl 1281.34104
Yang, Rui; Peng, Yahong; Song, Yongli
5
2013
Stability and bifurcation in a non-Kolmogorov type prey-predator system with time delay. Zbl 1198.34157
Meng, Xianzhang; Han, Dong; Song, Yongli
4
2005
Existence of traveling wave solutions for a reaction-diffusion equation with distributed delays. Zbl 1361.34047
Peng, Yahong; Song, Yongli
4
2007
Bifurcation analysis of a diffusive activator-inhibitor model in vascular mesenchymal cells. Zbl 1326.35028
Yang, Rui; Song, Yongli
4
2015
Stability and multiple bifurcations of a damped harmonic oscillator with delayed feedback near zero eigenvalue singularity. Zbl 1309.34063
Song, Yongli; Zhang, Tonghua; Tadé, Moses O.
4
2008
Bifurcation analysis and spatiotemporal patterns of nonlinear oscillations in a ring lattice of identical neurons with delayed coupling. Zbl 1469.34094
Jiang, Jiao; Song, Yongli
4
2014
Stability and global Hopf bifurcation for a predator-prey model with two delays. Zbl 1069.34104
Song, Yongli; Han, Maoan; Wei, Junjie
3
2004
Turing instability and Hopf bifurcation of a spatially discretized diffusive Brusselator model with zero-flux boundary conditions. Zbl 1523.34013
Li, Zunxian; Song, Yongli; Wu, Chufen
3
2023
Periodic solutions of a periodic delay predator-prey system with nonmonotonic functional response. Zbl 1056.34066
Song, Yongli; Han, Maoan
3
2003
Oscillations in a plasmid turbidostat model with delayed feedback control. Zbl 1214.92074
Yuan, Sanling; Song, Yongli; Li, Junhui
3
2011
Existence of travelling wave fronts for a diffusive vector disease model with delay. Zbl 1113.35096
Peng, Yahong; Song, Yongli
3
2006
Global stability of the positive equilibrium of a mathematical model for unstirred membrane reactors. Zbl 1516.35062
Song, Yongli; Zhang, Tonghua
3
2017
Spatially nonhomogeneous periodic patterns in a delayed predator-prey model with predator-taxis diffusion. Zbl 1491.92098
Shi, Qingyan; Song, Yongli
3
2022
Hopf bifurcation and chaos in a delayed Nicholson’s blowflies equation with nonlinear density-dependent mortality rate. Zbl 1354.37097
Shi, Qingyan; Song, Yongli
3
2016
Spatial movement with nonlocal memory. Zbl 1518.35056
Shi, Qingyan; Song, Yongli
3
2023
Positive periodic solutions of a periodic survival red blood cell model. Zbl 1083.92022
Song, Yongli
2
2005
Normal forms of double Hopf bifurcation for a reaction-diffusion system with delay and nonlocal spatial average and applications. Zbl 1524.35068
Wu, Shuhao; Song, Yongli; Shi, Qingyan
2
2022
Diffusive spatial movement with memory in an advective environment. Zbl 1521.35180
Zhang, Hua; Wang, Hao; Song, Yongli; Wei, Junjie
2
2023
Dynamics and pattern formation in a reaction-diffusion-advection mussel-algae model. Zbl 1502.37096
Wang, Jinfeng; Tong, Xue; Song, Yongli
2
2022
On the positive periodic solutions of a class of Liénard equations with repulsive singularities in degenerate case. Zbl 1526.34021
Yu, Xingchen; Song, Yongli; Lu, Shiping; Godoy, José
2
2023
Stability and bifurcation analysis in a diffusive predator-prey model with delay and spatial average. Zbl 1531.35041
Song, Yongli; Shi, Qingyan
1
2023
Stability and bifurcation in a neural network model with delay. Zbl 1231.34130
Song, Yongli; Wei, Junjie; Xi, Hongjian
1
2001
Stability and spatiotemporal dynamics of a diffusive predator-prey system with generalist predator and nonlocal intraspecific competition. Zbl 07478791
Yang, Feng; Song, Yongli
1
2022
Periodic traveling wave solution in a diffusive predator-prey system. Zbl 1389.35115
Song, Yongli; Xu, Zhou
1
2017
Retraction notice to: “Bifurcation analysis in the delayed Leslie-Gower predator-prey system”. Zbl 1427.34099
Song, Yongli; Yuan, Sanling; Zhang, Jianming
1
2013
Spatio-temporal patterns of Hopf bifurcating periodic oscillations in a pair of identical tri-neuron network loops. Zbl 1239.92004
Song, Yongli
1
2012
Bifurcations in a diffusive resource-consumer model with distributed memory. Zbl 1507.35025
Shen, Hao; Song, Yongli; Wang, Hao
8
2023
Spatially inhomogeneous periodic patterns induced by distributed memory in the memory-based single population model. Zbl 1505.92165
Lin, Jiong; Song, Yongli
6
2023
Turing instability and Hopf bifurcation of a spatially discretized diffusive Brusselator model with zero-flux boundary conditions. Zbl 1523.34013
Li, Zunxian; Song, Yongli; Wu, Chufen
3
2023
Spatial movement with nonlocal memory. Zbl 1518.35056
Shi, Qingyan; Song, Yongli
3
2023
Diffusive spatial movement with memory in an advective environment. Zbl 1521.35180
Zhang, Hua; Wang, Hao; Song, Yongli; Wei, Junjie
2
2023
On the positive periodic solutions of a class of Liénard equations with repulsive singularities in degenerate case. Zbl 1526.34021
Yu, Xingchen; Song, Yongli; Lu, Shiping; Godoy, José
2
2023
Stability and bifurcation analysis in a diffusive predator-prey model with delay and spatial average. Zbl 1531.35041
Song, Yongli; Shi, Qingyan
1
2023
Dynamic analysis of a plant-water model with spatial diffusion. Zbl 1490.35033
Sun, Gui-Quan; Zhang, Hong-Tao; Song, Yong-Li; Li, Li; Jin, Zhen
14
2022
Spatiotemporal dynamics of a diffusive consumer-resource model with explicit spatial memory. Zbl 1530.92311
Song, Yongli; Shi, Junping; Wang, Hao
10
2022
Effect of spatial average on the spatiotemporal pattern formation of reaction-diffusion systems. Zbl 1498.35036
Shi, Qingyan; Shi, Junping; Song, Yongli
7
2022
Spatially nonhomogeneous periodic patterns in a delayed predator-prey model with predator-taxis diffusion. Zbl 1491.92098
Shi, Qingyan; Song, Yongli
3
2022
Normal forms of double Hopf bifurcation for a reaction-diffusion system with delay and nonlocal spatial average and applications. Zbl 1524.35068
Wu, Shuhao; Song, Yongli; Shi, Qingyan
2
2022
Dynamics and pattern formation in a reaction-diffusion-advection mussel-algae model. Zbl 1502.37096
Wang, Jinfeng; Tong, Xue; Song, Yongli
2
2022
Stability and spatiotemporal dynamics of a diffusive predator-prey system with generalist predator and nonlocal intraspecific competition. Zbl 07478791
Yang, Feng; Song, Yongli
1
2022
The spatially inhomogeneous Hopf bifurcation induced by memory delay in a memory-based diffusion system. Zbl 1472.35034
Song, Yongli; Peng, Yahong; Zhang, Tonghua
35
2021
Memory-based movement with spatiotemporal distributed delays in diffusion and reaction. Zbl 1510.35149
Song, Yongli; Wu, Shuhao; Wang, Hao
16
2021
Stability and double-Hopf bifurcations of a Gause-Kolmogorov-type predator-prey system with indirect prey-taxis. Zbl 1478.35025
Zuo, Wenjie; Song, Yongli
16
2021
Stability and cross-diffusion-driven instability in a diffusive predator-prey system with hunting cooperation functional response. Zbl 1437.35679
Song, Danxia; Li, Chao; Song, Yongli
18
2020
Stability and Turing patterns in a predator-prey model with hunting cooperation and Allee effect in prey population. Zbl 1448.92249
Song, Danxia; Song, Yongli; Li, Chao
18
2020
Spatiotemporal dynamics of a diffusive predator-prey model with nonlocal effect and delay. Zbl 1450.35051
Wu, Shuhao; Song, Yongli
15
2020
Spatio-temporal dynamics of a reaction-diffusion equation with the nonlocal spatial average and delay. Zbl 1444.35105
Song, Yongli; Yang, Gaoxiang
6
2020
Spatiotemporal dynamics in the single population model with memory-based diffusion and nonlocal effect. Zbl 1423.35027
Song, Yongli; Wu, Shuhao; Wang, Hao
68
2019
Turing-Hopf bifurcation in the reaction-diffusion system with delay and application to a diffusive predator-prey model. Zbl 1461.35035
Song, Yongli; Jiang, Heping; Yuan, Yuan
50
2019
Stability and spatiotemporal dynamics in a diffusive predator-prey model with nonlocal prey competition. Zbl 1425.92167
Wu, Shuhao; Song, Yongli
38
2019
Hopf bifurcation and pattern formation in a delayed diffusive logistic model with spatial heterogeneity. Zbl 1404.35262
Shi, Qingyan; Shi, Junping; Song, Yongli
20
2019
Bistability and delay-induced stability switches in a cancer network with the regulation of microRNA. Zbl 1510.92082
Song, Yongli; Cao, Xin; Zhang, Tonghua
7
2018
Spatiotemporal dynamics of the diffusive mussel-algae model near Turing-Hopf bifurcation. Zbl 1382.35035
Song, Yongli; Jiang, Heping; Liu, Quan-Xing; Yuan, Yuan
79
2017
Stability, steady-state bifurcations, and Turing patterns in a predator-prey model with herd behavior and prey-taxis. Zbl 1373.35324
Song, Yongli; Tang, Xiaosong
78
2017
Hopf bifurcation in a reaction-diffusion equation with distributed delay and Dirichlet boundary condition. Zbl 1386.35421
Shi, Qingyan; Shi, Junping; Song, Yongli
27
2017
Pattern dynamics in a Gierer-Meinhardt model with a saturating term. Zbl 1443.92033
Song, Yongli; Yang, Rui; Sun, Guiquan
24
2017
Dynamics of a ratio-dependent stage-structured predator-prey model with delay. Zbl 1387.34083
Song, Yongli; Yin, Tao; Shu, Hongying
14
2017
Global stability of the positive equilibrium of a mathematical model for unstirred membrane reactors. Zbl 1516.35062
Song, Yongli; Zhang, Tonghua
3
2017
Periodic traveling wave solution in a diffusive predator-prey system. Zbl 1389.35115
Song, Yongli; Xu, Zhou
1
2017
Turing-Hopf bifurcation in the reaction-diffusion equations and its applications. Zbl 1510.35150
Song, Yongli; Zhang, Tonghua; Peng, Yahong
78
2016
Turing-Hopf bifurcation analysis of a predator-prey model with herd behavior and cross-diffusion. Zbl 1349.37091
Tang, Xiaosong; Song, Yongli; Zhang, Tonghua
52
2016
Spatial resonance and Turing-Hopf bifurcations in the Gierer-Meinhardt model. Zbl 1344.37061
Yang, Rui; Song, Yongli
34
2016
Delay-induced triple-zero bifurcation in a delayed Leslie-type predator-prey model with additive Allee effect. Zbl 1343.34181
Jiang, Jiao; Song, Yongli; Yu, Pei
9
2016
Hopf bifurcation and delay-induced Turing instability in a diffusive lac operon model. Zbl 1352.35198
Cao, Xin; Song, Yongli; Zhang, Tonghua
9
2016
Normal form of saddle-node-Hopf bifurcation in retarded functional differential equations and applications. Zbl 1336.34100
Jiang, Heping; Jiang, Jiao; Song, Yongli
6
2016
Hopf bifurcation and chaos in a delayed Nicholson’s blowflies equation with nonlinear density-dependent mortality rate. Zbl 1354.37097
Shi, Qingyan; Song, Yongli
3
2016
Stability, Hopf bifurcations and spatial patterns in a delayed diffusive predator-prey model with herd behavior. Zbl 1410.37092
Tang, Xiaosong; Song, Yongli
65
2015
Cross-diffusion induced spatiotemporal patterns in a predator-prey model with herd behavior. Zbl 1336.92073
Tang, Xiaosong; Song, Yongli
59
2015
Bifurcation analysis and Turing instability in a diffusive predator-prey model with herd behavior and hyperbolic mortality. Zbl 1355.92098
Tang, Xiaosong; Song, Yongli
49
2015
Bifurcation analysis of a diffusive predator-prey system with a herd behavior and quadratic mortality. Zbl 1332.35370
Xu, Zhou; Song, Yongli
18
2015
Stability and bifurcation analysis of a reaction-diffusion equation with distributed delay. Zbl 1331.35191
Zuo, Wenjie; Song, Yongli
17
2015
Stability and bifurcation analysis of a reaction-diffusion equation with spatio-temporal delay. Zbl 1515.35040
Zuo, Wenjie; Song, Yongli
16
2015
Delay-induced double Hopf bifurcations in a system of two delay-coupled van der Pol-Duffing oscillators. Zbl 1314.34143
Jiang, Heping; Zhang, Tonghua; Song, Yongli
10
2015
Normal forms of non-resonance and weak resonance double Hopf bifurcation in the retarded functional differential equations and applications. Zbl 1410.37051
Jiang, Heping; Song, Yongli
7
2015
Bifurcation analysis of a diffusive activator-inhibitor model in vascular mesenchymal cells. Zbl 1326.35028
Yang, Rui; Song, Yongli
4
2015
Spatiotemporal dynamics in a diffusive ratio-dependent predator-prey model near a Hopf-Turing bifurcation point. Zbl 1366.92111
Song, Yongli; Zou, Xingfu
54
2014
Bifurcation analysis of a diffusive ratio-dependent predator-prey model. Zbl 1314.92144
Song, Yongli; Zou, Xingfu
42
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
31
2014
Delay-induced Bogdanov-Takens bifurcation in a Leslie-Gower predator-prey model with nonmonotonic functional response. Zbl 1457.92140
Jiang, Jiao; Song, Yongli
20
2014
Stability and Hopf bifurcation in a model of gene expression with distributed time delays. Zbl 1335.37061
Song, Yongli; Han, Yanyan; Zhang, Tonghua
13
2014
Bifurcation analysis and spatiotemporal patterns of nonlinear oscillations in a ring lattice of identical neurons with delayed coupling. Zbl 1469.34094
Jiang, Jiao; Song, Yongli
4
2014
Bogdanov-Takens bifurcation in an oscillator with negative damping and delayed position feedback. Zbl 1438.34249
Jiang, Jiao; Song, Yongli
17
2013
Stability and bifurcation analysis of a delayed Leslie-Gower predator-prey system with nonmonotonic functional response. Zbl 1276.34073
Jiang, Jiao; Song, Yongli
10
2013
Stability and Hopf bifurcation in an inverted pendulum with delayed feedback control. Zbl 1281.34104
Yang, Rui; Peng, Yahong; Song, Yongli
5
2013
Retraction notice to: “Bifurcation analysis in the delayed Leslie-Gower predator-prey system”. Zbl 1427.34099
Song, Yongli; Yuan, Sanling; Zhang, Jianming
1
2013
The stability and Hopf bifurcation analysis of a gene expression model. Zbl 1263.34118
Zhang, Tonghua; Song, Yongli; Zang, Hong
16
2012
Steady-state, Hopf and steady-state-Hopf bifurcations in delay differential equations with applications to a damped harmonic oscillator with delay feedback. Zbl 1258.34146
Song, Yongli; Jiang, Jiao
11
2012
Stability and Hopf bifurcation in a three-neuron unidirectional ring with distributed delays. Zbl 1276.92008
Han, Yanyan; Song, Yongli
6
2012
Spatio-temporal patterns of Hopf bifurcating periodic oscillations in a pair of identical tri-neuron network loops. Zbl 1239.92004
Song, Yongli
1
2012
Hopf bifurcation and spatio-temporal patterns in delay-coupled van der Pol oscillators. Zbl 1215.34084
Song, Yongli
17
2011
Bifurcation, amplitude death and oscillation patterns in a system of three coupled van der Pol oscillators with diffusively delayed velocity coupling. Zbl 1317.34067
Song, Yongli; Xu, Jian; Zhang, Tonghua
13
2011
Delay induced oscillations in a turbidostat with feedback control. Zbl 1227.92048
Yuan, Sanling; Li, Pan; Song, Yongli
11
2011
Oscillations in a plasmid turbidostat model with delayed feedback control. Zbl 1214.92074
Yuan, Sanling; Song, Yongli; Li, Junhui
3
2011
Retracted: Stability and Hopf bifurcations in a delayed Leslie-Gower predator-prey system. Zbl 1170.34051
Yuan, Sanling; Song, Yongli
38
2009
Retracted: Bifurcation analysis in the delayed Leslie-Gower predator-prey system. Zbl 1205.34089
Song, Yongli; Yuan, Sanling; Zhang, Jianming
33
2009
Bifurcation analysis and spatio-temporal patterns of nonlinear oscillations in a delayed neural network with unidirectional coupling. Zbl 1171.34058
Song, Yongli; Tadé, Moses O.; Zhang, Tonghua
26
2009
Bifurcation and stability analysis for a delayed Leslie-Gower predator-prey system. Zbl 1201.34132
Yuan, Sanling; Song, Yongli
25
2009
Stability switches, oscillatory multistability, and spatio-temporal patterns of nonlinear oscillations in recurrently delay coupled neural networks. Zbl 1342.92023
Song, Yongli; Makarov, Valeri A.; Velarde, Manuel G.
14
2009
Stability switches, Hopf bifurcations, and spatio-temporal patterns in a delayed neural model with bidirectional coupling. Zbl 1186.34120
Song, Yongli; Zhang, Tonghua; Tadé, Moses O.
11
2009
Stability switches and Hopf bifurcations in a pair of identical tri-neuron network loops. Zbl 1229.92007
Peng, Yahong; Song, Yongli
9
2009
Bifurcations for a predator-prey system with two delays. Zbl 1132.34053
Song, Yongli; Peng, Yahong; Wei, Junjie
50
2008
Elements for a general memory structure: properties of recurrent neural networks used to form situation models. Zbl 1145.92305
Makarov, Valeri A.; Song, Yongli; Velarde, Manuel G.; Hübner, David; Cruse, Holk
6
2008
Stability and multiple bifurcations of a damped harmonic oscillator with delayed feedback near zero eigenvalue singularity. Zbl 1309.34063
Song, Yongli; Zhang, Tonghua; Tadé, Moses O.
4
2008
Stability switches and Hopf bifurcations in a pair of delay-coupled oscillators. Zbl 1126.34047
Song, Yongli; Wei, Junjie; Yuan, Yuan
20
2007
Bifurcation analysis for a regulated logistic growth model. Zbl 1167.34377
Song, Yongli; Yuan, Sanling
16
2007
Existence of traveling wave solutions for a reaction-diffusion equation with distributed delays. Zbl 1361.34047
Peng, Yahong; Song, Yongli
4
2007
Bifurcation analysis in a predator-prey system with time delay. Zbl 1085.92052
Song, Yongli; Yuan, Sanling
70
2006
Stability and bifurcation analysis on a logistic model with discrete and distributed delays. Zbl 1161.34056
Song, Yongli; Peng, Yahong
15
2006
Bifurcation analysis on a survival red blood cells model. Zbl 1105.34047
Song, Yongli; Wei, Junjie; Yuan, Yuan
12
2006
Periodic solutions of a nonautonomous periodic model of population with continuous and discrete time. Zbl 1100.34039
Song, Yongli; Peng, Yahong
5
2006
Existence of travelling wave fronts for a diffusive vector disease model with delay. Zbl 1113.35096
Peng, Yahong; Song, Yongli
3
2006
Local Hopf bifurcation and global periodic solutions in a delayed predator–prey system. Zbl 1067.34076
Song, Yongli; Wei, Junjie
135
2005
Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays. Zbl 1062.34079
Song, Yongli; Han, Maoan; Wei, Junjie
133
2005
Stability and bifurcation in a non-Kolmogorov type prey-predator system with time delay. Zbl 1198.34157
Meng, Xianzhang; Han, Dong; Song, Yongli
4
2005
Positive periodic solutions of a periodic survival red blood cell model. Zbl 1083.92022
Song, Yongli
2
2005
Bifurcation analysis for Chen’s system with delayed feedback and its application to control of chaos. Zbl 1112.37303
Song, Yongli; Wei, Junjie
112
2004
Stability and Hopf bifurcations in a competitive Lotka–Volterra system with two delays. Zbl 1067.34075
Song, Yongli; Han, Maoan; Peng, Yahong
69
2004
Local and global Hopf bifurcation in a delayed hematopoiesis model. Zbl 1090.37547
Song, Yongli; Wei, Junjie; Han, Maoan
31
2004
Travelling wavefronts in the diffusive single species model with Allee effect and distributed delay. Zbl 1041.92027
Song, Yongli; Peng, Yahong; Han, Maoan
21
2004
Existence of entire large positive solutions of a semilinear elliptic system. Zbl 1126.35017
Peng, Yahong; Song, Yongli
16
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
11
2004
Stability and global Hopf bifurcation for a predator-prey model with two delays. Zbl 1069.34104
Song, Yongli; Han, Maoan; Wei, Junjie
3
2004
Periodic solutions of a periodic delay predator-prey system with nonmonotonic functional response. Zbl 1056.34066
Song, Yongli; Han, Maoan
3
2003
Stability and bifurcation in a neural network model with delay. Zbl 1231.34130
Song, Yongli; Wei, Junjie; Xi, Hongjian
1
2001
all top 5

Cited by 1,636 Authors

81 Song, Yongli
45 Wei, Junjie
38 Zhang, Tonghua
33 Xia, Yonghui
26 Jiang, Weihua
26 Xu, Changjin
24 Zhang, Chunrui
23 Wang, Hao
22 Yuan, Sanling
20 Yan, Xiangping
20 Yang, Ruizhi
19 Wu, Ranchao
18 Cao, Jinde
17 Djilali, Salih
17 Shi, Junping
17 Xu, Rui
16 Chen, Mengxin
16 Peng, Yahong
15 Meng, Xinzhu
14 Lin, Yiping
14 Niu, Ben
13 Dai, Binxiang
13 Ding, Yuting
13 Meng, Xinyou
13 Shi, Qingyan
13 Zhao, Hongyong
12 Hayat, Tasawar
12 Liu, Xia
11 Bai, Yuzhen
11 Chen, Shanshan
11 Han, Renji
11 Huo, Hai-Feng
11 Liao, Maoxin
11 Tang, Xiaosong
11 Xu, Jian
11 Zhao, Min
10 Gan, Qintao
10 Guo, Shangjiang
10 Jiang, Daqing
10 Jiang, Heping
10 Jin, Zhen
10 Sun, Guiquan
10 Zhang, Cunhua
10 Zuo, Wenjie
9 Chen, Liping
9 Jiang, Zhichao
9 Li, Wan-Tong
9 Liu, Ming
9 Liu, Zhijun
9 Samanta, Sudip
9 Singh, Anuraj
9 Yuan, Rong
9 Zhang, Xuebing
9 Zhang, Zizhen
9 Zhao, Huitao
9 Zheng, Baodong
8 Banerjee, Malay
8 Dai, Chuanjun
8 Dai, Yunxian
8 Dubey, Balram
8 Han, Maoan
8 Jiang, Jiao
8 Liu, Shutang
8 Ma, Zhanping
8 Wang, Weiming
7 Cai, Yongli
7 Chattopadhyay, Joydev
7 Du, Yanfei
7 Kumar Upadhyay, Ranjit
7 Li, Zuxiong
7 Liao, Xiaofeng
7 Liu, Biao
7 Sun, Chengjun
7 Tang, Xianhua
7 Wang, Hongbin
7 Wu, Daiyong
7 Xiao, Min
7 Yu, Hengguo
7 Zou, Xingfu
6 An, Qi
6 Cao, Jianzhi
6 Fan, Dejun
6 Huang, Chengdai
6 Jana, Debaldev
6 Kumar, Ankit
6 Liu, Juan
6 Ma, Zhihui
6 Mao, Xiaochen
6 Shen, Zuolin
6 Souna, Fethi
6 Wang, Chuncheng
6 Wang, Jinfeng
6 Wang, Wen
6 Wu, Shuhao
6 Yang, Wenbin
6 Zhang, Jiafang
6 Zheng, Hang
6 Zhu, Wenjing
5 Al-saedi, Ahmed Eid Salem
5 Bhatti, Harbax Singh
...and 1,536 more Authors
all top 5

Cited in 143 Serials

133 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
108 Chaos, Solitons and Fractals
97 Nonlinear Dynamics
59 Applied Mathematics and Computation
53 Nonlinear Analysis. Real World Applications
51 Communications in Nonlinear Science and Numerical Simulation
43 Advances in Difference Equations
42 Abstract and Applied Analysis
40 Mathematical Methods in the Applied Sciences
34 Journal of Mathematical Analysis and Applications
34 International Journal of Biomathematics
29 Mathematics and Computers in Simulation
29 Discrete and Continuous Dynamical Systems. Series B
25 Journal of Differential Equations
22 Journal of Applied Mathematics and Computing
21 Applied Mathematical Modelling
21 Qualitative Theory of Dynamical Systems
20 Discrete Dynamics in Nature and Society
19 Physica A
19 Applied Mathematics Letters
18 Mathematical Biosciences and Engineering
17 Journal of Applied Analysis and Computation
16 Journal of Mathematical Biology
14 Journal of Dynamics and Differential Equations
13 Computers & Mathematics with Applications
13 ZAMP. Zeitschrift für angewandte Mathematik und Physik
12 Mathematical Problems in Engineering
12 Nonlinear Analysis. Modelling and Control
9 Journal of the Franklin Institute
9 Chaos
9 Journal of Applied Mathematics
8 Journal of Computational and Applied Mathematics
7 Mathematical Biosciences
7 Bulletin of Mathematical Biology
7 Journal of Biological Systems
7 Journal of Biological Dynamics
6 Applicable Analysis
6 Biological Cybernetics
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Neural Networks
6 Complexity
6 SIAM Journal on Applied Dynamical Systems
6 AIMS Mathematics
5 Physics Letters. A
5 Physica D
5 Journal of Nonlinear Science
5 Journal of Mathematical Chemistry
5 Communications on Pure and Applied Analysis
5 Boundary Value Problems
4 Rocky Mountain Journal of Mathematics
4 Computational and Applied Mathematics
4 Journal of Dynamical and Control Systems
4 Discrete and Continuous Dynamical Systems. Series S
4 Journal of Theoretical Biology
4 Journal of Function Spaces
4 Electronic Research Archive
3 Studies in Applied Mathematics
3 Acta Mathematicae Applicatae Sinica. English Series
3 Topological Methods in Nonlinear Analysis
3 Differential Equations and Dynamical Systems
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 MATCH - Communications in Mathematical and in Computer Chemistry
3 Computational & Mathematical Methods in Medicine
3 Discontinuity, Nonlinearity, and Complexity
2 Journal of Computational Physics
2 Nonlinearity
2 Acta Applicandae Mathematicae
2 Numerical Methods for Partial Differential Equations
2 Mathematical and Computer Modelling
2 Japan Journal of Industrial and Applied Mathematics
2 International Journal of Computer Mathematics
2 SIAM Journal on Applied Mathematics
2 Fractals
2 Discrete and Continuous Dynamical Systems
2 The ANZIAM Journal
2 Journal of Nonlinear Mathematical Physics
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 Journal of Statistical Mechanics: Theory and Experiment
2 Mathematical Modelling of Natural Phenomena
2 Advances in Mathematical Physics
2 International Journal of Differential Equations
2 Journal of Mathematics
2 Journal of Applied Nonlinear Dynamics
2 International Journal of Applied and Computational Mathematics
2 Open Mathematics
1 Computer Physics Communications
1 Inverse Problems
1 Journal of Engineering Mathematics
1 Physics Reports
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archiv der Mathematik
1 Journal of the Korean Mathematical Society
1 Results in Mathematics
1 Ricerche di Matematica
1 Tamkang Journal of Mathematics
1 Chinese Annals of Mathematics. Series B
1 Stochastic Analysis and Applications
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 SIAM Journal on Mathematical Analysis
...and 43 more Serials

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