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Author ID: tao.youshan Recent zbMATH articles by "Tao, Youshan"
Published as: Tao, Youshan; Tao, Y.; Tao, You Shan; Tao, YouShan
all top 5

Serials

13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
10 Journal of Differential Equations
9 Journal of Mathematical Analysis and Applications
6 SIAM Journal on Mathematical Analysis
5 Applied Mathematics. Series B (English Edition)
5 Nonlinear Analysis. Real World Applications
5 Discrete and Continuous Dynamical Systems. Series B
4 Nonlinearity
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Journal of Mathematical Biology
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Applied Mathematics Letters
2 Science in China. Series A
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Journal of Partial Differential Equations
2 Discrete and Continuous Dynamical Systems
2 Acta Mathematica Scientia. Series A. (Chinese Edition)
2 Applied Mathematical Sciences (Ruse)
1 Indian Journal of Pure & Applied Mathematics
1 Inverse Problems
1 Mathematical Methods in the Applied Sciences
1 Applied Mathematics and Computation
1 Journal of Functional Analysis
1 Proceedings of the London Mathematical Society. Third Series
1 Journal of Mathematics. Wuhan University
1 Journal of Mathematical Research & Exposition
1 Chinese Annals of Mathematics. Series B
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 European Journal of Applied Mathematics
1 SIAM Journal on Applied Mathematics
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Journal of Nonlinear Science
1 The Canadian Applied Mathematics Quarterly
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Far East Journal of Applied Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 Journal of Nonlinear Mathematical Physics
1 Basic Sciences Journal of Textile Universities
1 Communications on Pure and Applied Analysis
1 Communications in Mathematical Sciences
1 Mathematical Biosciences and Engineering
1 Toyama Mathematical Journal
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 Discrete and Continuous Dynamical Systems. Series S
1 Evolution Equations and Control Theory

Publications by Year

Citations contained in zbMATH Open

93 Publications have been cited 4,671 times in 1,738 Documents Cited by Year
Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues. Zbl 1326.35397
Bellomo, N.; Bellouquid, A.; Tao, Y.; Winkler, M.
645
2015
Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity. Zbl 1382.35127
Tao, Youshan; Winkler, Michael
499
2012
Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant. Zbl 1268.35016
Tao, Youshan; Winkler, Michael
228
2012
Competing effects of attraction vs. repulsion in chemotaxis. Zbl 1403.35136
Tao, Youshan; Wang, Zhi-An
207
2013
Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion. Zbl 1283.35154
Tao, Youshan; Winkler, Michael
170
2013
A chemotaxis-haptotaxis model: the roles of nonlinear diffusion and logistic source. Zbl 1259.35210
Tao, Youshan; Winkler, Michael
156
2011
Boundedness in a chemotaxis model with oxygen consumption by bacteria. Zbl 1225.35118
Tao, Youshan
154
2011
Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system. Zbl 1328.35084
Tao, Youshan; Winkler, Michael
152
2015
Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion. Zbl 1276.35105
Tao, Youshan; Winkler, Michael
148
2012
Large time behavior in a multidimensional chemotaxis-haptotaxis model with slow signal diffusion. Zbl 1328.35103
Tao, Youshan; Winkler, Michael
132
2015
Energy-type estimates and global solvability in a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant. Zbl 1295.35144
Tao, Youshan; Winkler, Michael
116
2014
Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis. Zbl 1195.35171
Tao, Youshan
112
2010
Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system. Zbl 1356.35054
Tao, Youshan; Winkler, Michael
109
2016
Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production. Zbl 1406.35068
Tao, Youshan; Winkler, Michael
94
2017
Effects of signal-dependent motilities in a Keller-Segel-type reaction-diffusion system. Zbl 1516.35092
Tao, Youshan; Winkler, Michael
87
2017
Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals. Zbl 1329.35075
Winkler, Michael; Tao, Youshan
78
2015
Global solution for a chemotactic-haptotactic model of cancer invasion. Zbl 1160.35431
Tao, Youshan; Wang, Mingjun
69
2008
Global boundedness in a fully parabolic attraction-repulsion chemotaxis model. Zbl 1331.35174
Liu, Dongmei; Tao, Youshan
66
2015
To the exclusion of blow-up in a three-dimensional chemotaxis-growth model with indirect attractant production. Zbl 1351.35076
Hu, Bingran; Tao, Y.
66
2016
Dominance of chemotaxis in a chemotaxis-haptotaxis model. Zbl 1293.35047
Tao, Youshan; Winkler, Michael
65
2014
A combined chemotaxis-haptotaxis system: the role of logistic source. Zbl 1201.35005
Tao, Youshan; Wang, Mingjun
63
2009
Boundedness and stabilization in a multi-dimensional chemotaxis-haptotaxis model. Zbl 1312.35171
Tao, Youshan; Winkler, Michael
62
2014
Identifying the volatility of underlying assets from option prices. Zbl 0997.91024
Jiang, Lishang; Tao, Youshan
59
2001
Global existence for a haptotaxis model of cancer invasion with tissue remodeling. Zbl 1205.35144
Tao, Youshan
59
2011
Global existence of classical solutions to a combined chemotaxis-haptotaxis model with logistic source. Zbl 1160.92027
Tao, Youshan
55
2009
Occurrence vs. absence of taxis-driven instabilities in a May-Nowak model for virus infection. Zbl 1428.35615
Bellomo, Nicola; Painter, Kevin J.; Tao, Youshan; Winkler, Michael
54
2019
Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension. Zbl 1272.35040
Tao, Youshan; Wang, Lihe; Wang, Zhi-An
54
2013
Boundedness in a chemotaxis system with nonlinear signal production. Zbl 1374.35009
Liu, Dongmei; Tao, Youshan
52
2016
Persistence of mass in a chemotaxis system with logistic source. Zbl 1321.35084
Tao, Youshan; Winkler, Michael
51
2015
Chemotaxis and cross-diffusion models in complex environments: models and analytic problems toward a multiscale vision. Zbl 1497.35039
Bellomo, N.; Outada, N.; Soler, J.; Tao, Y.; Winkler, M.
42
2022
Global dynamics in a higher-dimensional repulsion chemotaxis model with nonlinear sensitivity. Zbl 1282.35189
Tao, Youshan
39
2013
Large time behavior in a forager-exploiter model with different taxis strategies for two groups in search of food. Zbl 1425.35200
Tao, Youshan; Winkler, Michael
37
2019
Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Zbl 1430.35132
Tao, Youshan; Winkler, Michael
37
2020
Stabilization in a chemotaxis model for virus infection. Zbl 1439.35052
Bellomo, Nicola; Tao, Youshan
36
2020
Boundedness in a parabolic-elliptic chemotaxis-growth system under a critical parameter condition. Zbl 1524.92020
Hu, Bingran; Tao, Youshan
34
2017
A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. Zbl 1442.35480
Tao, Youshan; Winkler, Michael
31
2020
Boundedness in a chemotaxis system with indirect signal production and generalized logistic source. Zbl 1503.92021
Li, Huayin; Tao, Youshan
30
2018
An elliptic-hyperbolic free boundary problem modelling cancer therapy. Zbl 1105.35149
Tao, Youshan; Chen, Miaojun
23
2006
Approaching the ideal free distribution in two-species competition models with fitness-dependent dispersal. Zbl 1295.35098
Lou, Yuan; Tao, Youshan; Winkler, Michael
22
2014
Large time behavior in a predator-prey system with indirect pursuit-evasion interaction. Zbl 1453.92250
Li, Genglin; Tao, Youshan; Winkler, Michael
21
2020
A chemotaxis-haptotaxis system with haptoattractant remodeling: boundedness enforced by mild saturation of signal production. Zbl 1412.35181
Tao, Youshan; Winkler, Michael
21
2019
Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction. Zbl 1458.35076
Tao, Youshan; Winkler, Michael
21
2021
A fully cross-diffusive two-component evolution system: existence and qualitative analysis via entropy-consistent thin-film-type approximation. Zbl 1471.35278
Tao, Youshan; Winkler, Michael
20
2021
The competitive dynamics between tumor cells, a replication-competent virus and an immune response. Zbl 1066.92035
Tao, Youshan; Guo, Qian
19
2005
Global smooth solvability of a parabolic-elliptic nutrient taxis system in domains of arbitrary dimension. Zbl 1411.35146
Tao, Youshan; Winkler, Michael
19
2019
A free boundary problem modeling the cell cycle and cell movement in multicellular tumor spheroids. Zbl 1178.35387
Tao, Youshan
18
2009
Nonlinear stability of the Muskat problem with capillary pressure at the free boundary. Zbl 1028.35123
Friedman, Avner; Tao, Youshan
18
2003
Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. Zbl 1479.35120
Tao, Youshan; Winkler, Michael
18
2021
Analysis of a model of a virus that replicates selectively in tumor cells. Zbl 1052.92027
Friedman, Avner; Tao, Youshan
17
2003
Boundedness and stabilization enforced by mild saturation of taxis in a producer-scrounger model. Zbl 1459.92018
Cao, Xinru; Tao, Youshan
15
2021
Nonlinear analysis of a model of vascular tumour growth and treatment. Zbl 1073.35215
Tao, Youshan; Yoshida, Norio; Guo, Qian
14
2004
Existence theory and qualitative analysis for a fully cross-diffusive predator-prey system. Zbl 1496.35228
Tao, Youshan; Winkler, Michael
14
2022
Rogue wave management in an inhomogeneous nonlinear fibre with higher order effects. Zbl 1420.35357
He, J. S.; Tao, Y. S.; Porsezian, K.; Fokas, A. S.
14
2013
A parabolic-hyperbolic free boundary problem modelling tumor treatment with virus. Zbl 1115.35137
Tao, Youshan; Zhang, Hui
13
2007
Global solution to a model of tumor invasion. Zbl 1135.92020
Tao, Youshan; Zhu, Guo
13
2007
Taxis-driven formation of singular hotspots in a May-Nowak-type model for virus infection. Zbl 1461.35201
Tao, Youshan; Winkler, Michael
13
2021
A density-dependent chemotaxis-haptotaxis system modeling cancer invasion. Zbl 1186.92026
Tao, Youshan; Cui, Chun
12
2010
A critical virus production rate for efficiency of oncolytic virotherapy. Zbl 1526.92012
Tao, Youshan; Winkler, Michael
12
2021
Nonexistence of nonconstant steady-state solutions in a triangular cross-diffusion model. Zbl 1372.35038
Lou, Yuan; Tao, Youshan; Winkler, Michael
11
2017
Muskat problem with surface tension. Zbl 0884.35176
Hong, Jiaxing; Tao, Youshan; Yi, Fahuai
10
1997
A partial differential equation model and its reduction to an ordinary differential equation model for prostate tumor growth under intermittent hormone therapy. Zbl 1303.35116
Tao, Youshan; Guo, Qian; Aihara, Kazuyuki
10
2014
Mathematical modeling of prostate tumor growth under intermittent androgen suppression with partial differential equations. Zbl 1165.92309
Guo, Qian; Tao, Youshan; Aihara, Kazuyuki
10
2008
A mathematical model of prostate tumor growth under hormone therapy with mutation inhibitor. Zbl 1196.35216
Tao, Youshan; Guo, Qian; Aihara, Kazuyuki
10
2010
A model at the macroscopic scale of prostate tumor growth under intermittent androgen suppression. Zbl 1180.35584
Tao, Youshan; Guo, Qian; Aihara, Kazuyuki
9
2009
Boundedness and stabilization in a population model with cross-diffusion for one species. Zbl 1439.35275
Tao, Youshan; Winkler, Michael
9
2019
Analysis of a chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis. Zbl 1439.35101
Li, Genglin; Tao, Youshan
9
2020
A free boundary problem modelling cancer radiovirotherapy. Zbl 1141.35476
Tao, Youshan; Guo, Qian
8
2007
Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension. Zbl 1505.35340
Tao, Youshan; Winkler, Michael
8
2023
Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy. Zbl 1484.35363
Tao, Youshan; Winkler, Michael
8
2022
The role of local kinetics in a three-component chemotaxis model for Alopecia areata. Zbl 1481.35061
Lou, Yuan; Tao, Youshan
7
2021
Large-data solutions in a three-dimensional chemotaxis-haptotaxis system with remodeling of non-diffusible attractant: the role of sub-linear production of diffusible signal. Zbl 1423.35194
Chen, Zhen; Tao, Youshan
7
2019
Analysis of a chemotaxis model for multi-species host-parasitoid interactions. Zbl 1159.35376
Tang, Xifeng; Tao, Youshan
6
2008
Nonlinear stability of a heterogeneous state in a PDE-ODE model for acid-mediated tumor invasion. Zbl 1326.35407
Tao, Youshan; Tello, J. Ignacio
6
2016
Explicit lower bound of blow-up time in a fully parabolic chemotaxis system with nonlinear cross-diffusion. Zbl 1331.35167
Tao, Youshan; Vernier Piro, Stella
6
2016
Asymptotic behavior in a chemotaxis-growth system with nonlinear production of signals. Zbl 1360.35028
Tao, Youshan; Liu, Yuanyuan
6
2017
Combined effects of nonlinear proliferation and logistic damping in a three-component chemotaxis system for alopecia areata. Zbl 1482.35232
Tao, Youshan; Xu, Danni
6
2022
Chemotaxis systems in complex frameworks: pattern formation, qualitative analysis and blowup prevention. Zbl 1451.92062
Bellomo, N.; Tao, Y.; Winkler, M.
5
2020
Quasi-stationary Stefan problem as limit case of Mullins-Sekerka problem. Zbl 0883.35137
Yi, Fahuai; Tao, Youshan; Liu, Zuhan
4
1997
Existence, uniqueness and approximation of classical solutions to nonlinear two-point boundary value problems. Zbl 1011.34008
Tao, Youshan; Gao, Guozhu
3
2002
Cross-diffusion models: analytic and multiscale problems. Zbl 1408.35078
Bellomo, N.; Tao, Y.; Winkler, M.
3
2018
Analysis of a chemotaxis-SIS epidemic model with unbounded infection force. Zbl 1525.35038
Tao, Youshan; Winkler, Michael
3
2023
Dynamics in a parabolic-elliptic two-species population competition model with cross-diffusion for one species. Zbl 1480.92174
Liu, Yuanyuan; Tao, Youshan
2
2017
Oscillation of nonlinear hyperbolic equations with distributed deviating arguments. Zbl 1107.35405
Tao, Youshan; Yoshida, Norio
2
2005
Classical Verigin problem as a limit case of Verigin problem with surface tension at free boundary. Zbl 0859.35065
Tao, Youshan; Yi, Fahuai
2
1996
Classical solution of Verigin problem with surface tension. Zbl 0889.35055
Tao, Youshan
2
1997
Parameter identification for a model of tumor growth in the presence of inhibitors. Zbl 1212.35516
Tao, Youshan; Bian, Baojun
2
2009
Spin Hall effect associated with \(SU(2)\) gauge field. Zbl 1188.81101
Tao, Y.
1
2010
A chemical diffusion process with reaction taking place at free boundary. Zbl 0906.35117
Ding, Shijin; Tao, Youshan; Yin, Hong-Ming
1
1997
Parabolic approximation to variational problems with double obstacles. Zbl 0990.49012
Tao, Youshan; Gao, Guozhu
1
2001
Analysis and simulation of a model for intracellular drug accumulation in tumors. Zbl 1089.92027
Tao, Youshan; Guo, Qian
1
2006
Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers. Zbl 1518.35439
Tao, Youshan; Winkler, Michael
1
2023
The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis. Zbl 1465.35378
Tao, Youshan; Winkler, Michael
1
2021
Critical mass of lymphocytes for the coexistence in a chemotaxis system modeling tumor-immune cell interactions. Zbl 1464.35364
Hu, Bei; Tao, Youshan
1
2020
Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension. Zbl 1505.35340
Tao, Youshan; Winkler, Michael
8
2023
Analysis of a chemotaxis-SIS epidemic model with unbounded infection force. Zbl 1525.35038
Tao, Youshan; Winkler, Michael
3
2023
Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers. Zbl 1518.35439
Tao, Youshan; Winkler, Michael
1
2023
Chemotaxis and cross-diffusion models in complex environments: models and analytic problems toward a multiscale vision. Zbl 1497.35039
Bellomo, N.; Outada, N.; Soler, J.; Tao, Y.; Winkler, M.
42
2022
Existence theory and qualitative analysis for a fully cross-diffusive predator-prey system. Zbl 1496.35228
Tao, Youshan; Winkler, Michael
14
2022
Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy. Zbl 1484.35363
Tao, Youshan; Winkler, Michael
8
2022
Combined effects of nonlinear proliferation and logistic damping in a three-component chemotaxis system for alopecia areata. Zbl 1482.35232
Tao, Youshan; Xu, Danni
6
2022
Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction. Zbl 1458.35076
Tao, Youshan; Winkler, Michael
21
2021
A fully cross-diffusive two-component evolution system: existence and qualitative analysis via entropy-consistent thin-film-type approximation. Zbl 1471.35278
Tao, Youshan; Winkler, Michael
20
2021
Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. Zbl 1479.35120
Tao, Youshan; Winkler, Michael
18
2021
Boundedness and stabilization enforced by mild saturation of taxis in a producer-scrounger model. Zbl 1459.92018
Cao, Xinru; Tao, Youshan
15
2021
Taxis-driven formation of singular hotspots in a May-Nowak-type model for virus infection. Zbl 1461.35201
Tao, Youshan; Winkler, Michael
13
2021
A critical virus production rate for efficiency of oncolytic virotherapy. Zbl 1526.92012
Tao, Youshan; Winkler, Michael
12
2021
The role of local kinetics in a three-component chemotaxis model for Alopecia areata. Zbl 1481.35061
Lou, Yuan; Tao, Youshan
7
2021
The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis. Zbl 1465.35378
Tao, Youshan; Winkler, Michael
1
2021
Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Zbl 1430.35132
Tao, Youshan; Winkler, Michael
37
2020
Stabilization in a chemotaxis model for virus infection. Zbl 1439.35052
Bellomo, Nicola; Tao, Youshan
36
2020
A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. Zbl 1442.35480
Tao, Youshan; Winkler, Michael
31
2020
Large time behavior in a predator-prey system with indirect pursuit-evasion interaction. Zbl 1453.92250
Li, Genglin; Tao, Youshan; Winkler, Michael
21
2020
Analysis of a chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis. Zbl 1439.35101
Li, Genglin; Tao, Youshan
9
2020
Chemotaxis systems in complex frameworks: pattern formation, qualitative analysis and blowup prevention. Zbl 1451.92062
Bellomo, N.; Tao, Y.; Winkler, M.
5
2020
Critical mass of lymphocytes for the coexistence in a chemotaxis system modeling tumor-immune cell interactions. Zbl 1464.35364
Hu, Bei; Tao, Youshan
1
2020
Occurrence vs. absence of taxis-driven instabilities in a May-Nowak model for virus infection. Zbl 1428.35615
Bellomo, Nicola; Painter, Kevin J.; Tao, Youshan; Winkler, Michael
54
2019
Large time behavior in a forager-exploiter model with different taxis strategies for two groups in search of food. Zbl 1425.35200
Tao, Youshan; Winkler, Michael
37
2019
A chemotaxis-haptotaxis system with haptoattractant remodeling: boundedness enforced by mild saturation of signal production. Zbl 1412.35181
Tao, Youshan; Winkler, Michael
21
2019
Global smooth solvability of a parabolic-elliptic nutrient taxis system in domains of arbitrary dimension. Zbl 1411.35146
Tao, Youshan; Winkler, Michael
19
2019
Boundedness and stabilization in a population model with cross-diffusion for one species. Zbl 1439.35275
Tao, Youshan; Winkler, Michael
9
2019
Large-data solutions in a three-dimensional chemotaxis-haptotaxis system with remodeling of non-diffusible attractant: the role of sub-linear production of diffusible signal. Zbl 1423.35194
Chen, Zhen; Tao, Youshan
7
2019
Boundedness in a chemotaxis system with indirect signal production and generalized logistic source. Zbl 1503.92021
Li, Huayin; Tao, Youshan
30
2018
Cross-diffusion models: analytic and multiscale problems. Zbl 1408.35078
Bellomo, N.; Tao, Y.; Winkler, M.
3
2018
Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production. Zbl 1406.35068
Tao, Youshan; Winkler, Michael
94
2017
Effects of signal-dependent motilities in a Keller-Segel-type reaction-diffusion system. Zbl 1516.35092
Tao, Youshan; Winkler, Michael
87
2017
Boundedness in a parabolic-elliptic chemotaxis-growth system under a critical parameter condition. Zbl 1524.92020
Hu, Bingran; Tao, Youshan
34
2017
Nonexistence of nonconstant steady-state solutions in a triangular cross-diffusion model. Zbl 1372.35038
Lou, Yuan; Tao, Youshan; Winkler, Michael
11
2017
Asymptotic behavior in a chemotaxis-growth system with nonlinear production of signals. Zbl 1360.35028
Tao, Youshan; Liu, Yuanyuan
6
2017
Dynamics in a parabolic-elliptic two-species population competition model with cross-diffusion for one species. Zbl 1480.92174
Liu, Yuanyuan; Tao, Youshan
2
2017
Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system. Zbl 1356.35054
Tao, Youshan; Winkler, Michael
109
2016
To the exclusion of blow-up in a three-dimensional chemotaxis-growth model with indirect attractant production. Zbl 1351.35076
Hu, Bingran; Tao, Y.
66
2016
Boundedness in a chemotaxis system with nonlinear signal production. Zbl 1374.35009
Liu, Dongmei; Tao, Youshan
52
2016
Nonlinear stability of a heterogeneous state in a PDE-ODE model for acid-mediated tumor invasion. Zbl 1326.35407
Tao, Youshan; Tello, J. Ignacio
6
2016
Explicit lower bound of blow-up time in a fully parabolic chemotaxis system with nonlinear cross-diffusion. Zbl 1331.35167
Tao, Youshan; Vernier Piro, Stella
6
2016
Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues. Zbl 1326.35397
Bellomo, N.; Bellouquid, A.; Tao, Y.; Winkler, M.
645
2015
Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system. Zbl 1328.35084
Tao, Youshan; Winkler, Michael
152
2015
Large time behavior in a multidimensional chemotaxis-haptotaxis model with slow signal diffusion. Zbl 1328.35103
Tao, Youshan; Winkler, Michael
132
2015
Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals. Zbl 1329.35075
Winkler, Michael; Tao, Youshan
78
2015
Global boundedness in a fully parabolic attraction-repulsion chemotaxis model. Zbl 1331.35174
Liu, Dongmei; Tao, Youshan
66
2015
Persistence of mass in a chemotaxis system with logistic source. Zbl 1321.35084
Tao, Youshan; Winkler, Michael
51
2015
Energy-type estimates and global solvability in a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant. Zbl 1295.35144
Tao, Youshan; Winkler, Michael
116
2014
Dominance of chemotaxis in a chemotaxis-haptotaxis model. Zbl 1293.35047
Tao, Youshan; Winkler, Michael
65
2014
Boundedness and stabilization in a multi-dimensional chemotaxis-haptotaxis model. Zbl 1312.35171
Tao, Youshan; Winkler, Michael
62
2014
Approaching the ideal free distribution in two-species competition models with fitness-dependent dispersal. Zbl 1295.35098
Lou, Yuan; Tao, Youshan; Winkler, Michael
22
2014
A partial differential equation model and its reduction to an ordinary differential equation model for prostate tumor growth under intermittent hormone therapy. Zbl 1303.35116
Tao, Youshan; Guo, Qian; Aihara, Kazuyuki
10
2014
Competing effects of attraction vs. repulsion in chemotaxis. Zbl 1403.35136
Tao, Youshan; Wang, Zhi-An
207
2013
Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion. Zbl 1283.35154
Tao, Youshan; Winkler, Michael
170
2013
Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension. Zbl 1272.35040
Tao, Youshan; Wang, Lihe; Wang, Zhi-An
54
2013
Global dynamics in a higher-dimensional repulsion chemotaxis model with nonlinear sensitivity. Zbl 1282.35189
Tao, Youshan
39
2013
Rogue wave management in an inhomogeneous nonlinear fibre with higher order effects. Zbl 1420.35357
He, J. S.; Tao, Y. S.; Porsezian, K.; Fokas, A. S.
14
2013
Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity. Zbl 1382.35127
Tao, Youshan; Winkler, Michael
499
2012
Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant. Zbl 1268.35016
Tao, Youshan; Winkler, Michael
228
2012
Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion. Zbl 1276.35105
Tao, Youshan; Winkler, Michael
148
2012
A chemotaxis-haptotaxis model: the roles of nonlinear diffusion and logistic source. Zbl 1259.35210
Tao, Youshan; Winkler, Michael
156
2011
Boundedness in a chemotaxis model with oxygen consumption by bacteria. Zbl 1225.35118
Tao, Youshan
154
2011
Global existence for a haptotaxis model of cancer invasion with tissue remodeling. Zbl 1205.35144
Tao, Youshan
59
2011
Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis. Zbl 1195.35171
Tao, Youshan
112
2010
A density-dependent chemotaxis-haptotaxis system modeling cancer invasion. Zbl 1186.92026
Tao, Youshan; Cui, Chun
12
2010
A mathematical model of prostate tumor growth under hormone therapy with mutation inhibitor. Zbl 1196.35216
Tao, Youshan; Guo, Qian; Aihara, Kazuyuki
10
2010
Spin Hall effect associated with \(SU(2)\) gauge field. Zbl 1188.81101
Tao, Y.
1
2010
A combined chemotaxis-haptotaxis system: the role of logistic source. Zbl 1201.35005
Tao, Youshan; Wang, Mingjun
63
2009
Global existence of classical solutions to a combined chemotaxis-haptotaxis model with logistic source. Zbl 1160.92027
Tao, Youshan
55
2009
A free boundary problem modeling the cell cycle and cell movement in multicellular tumor spheroids. Zbl 1178.35387
Tao, Youshan
18
2009
A model at the macroscopic scale of prostate tumor growth under intermittent androgen suppression. Zbl 1180.35584
Tao, Youshan; Guo, Qian; Aihara, Kazuyuki
9
2009
Parameter identification for a model of tumor growth in the presence of inhibitors. Zbl 1212.35516
Tao, Youshan; Bian, Baojun
2
2009
Global solution for a chemotactic-haptotactic model of cancer invasion. Zbl 1160.35431
Tao, Youshan; Wang, Mingjun
69
2008
Mathematical modeling of prostate tumor growth under intermittent androgen suppression with partial differential equations. Zbl 1165.92309
Guo, Qian; Tao, Youshan; Aihara, Kazuyuki
10
2008
Analysis of a chemotaxis model for multi-species host-parasitoid interactions. Zbl 1159.35376
Tang, Xifeng; Tao, Youshan
6
2008
A parabolic-hyperbolic free boundary problem modelling tumor treatment with virus. Zbl 1115.35137
Tao, Youshan; Zhang, Hui
13
2007
Global solution to a model of tumor invasion. Zbl 1135.92020
Tao, Youshan; Zhu, Guo
13
2007
A free boundary problem modelling cancer radiovirotherapy. Zbl 1141.35476
Tao, Youshan; Guo, Qian
8
2007
An elliptic-hyperbolic free boundary problem modelling cancer therapy. Zbl 1105.35149
Tao, Youshan; Chen, Miaojun
23
2006
Analysis and simulation of a model for intracellular drug accumulation in tumors. Zbl 1089.92027
Tao, Youshan; Guo, Qian
1
2006
The competitive dynamics between tumor cells, a replication-competent virus and an immune response. Zbl 1066.92035
Tao, Youshan; Guo, Qian
19
2005
Oscillation of nonlinear hyperbolic equations with distributed deviating arguments. Zbl 1107.35405
Tao, Youshan; Yoshida, Norio
2
2005
Nonlinear analysis of a model of vascular tumour growth and treatment. Zbl 1073.35215
Tao, Youshan; Yoshida, Norio; Guo, Qian
14
2004
Nonlinear stability of the Muskat problem with capillary pressure at the free boundary. Zbl 1028.35123
Friedman, Avner; Tao, Youshan
18
2003
Analysis of a model of a virus that replicates selectively in tumor cells. Zbl 1052.92027
Friedman, Avner; Tao, Youshan
17
2003
Existence, uniqueness and approximation of classical solutions to nonlinear two-point boundary value problems. Zbl 1011.34008
Tao, Youshan; Gao, Guozhu
3
2002
Identifying the volatility of underlying assets from option prices. Zbl 0997.91024
Jiang, Lishang; Tao, Youshan
59
2001
Parabolic approximation to variational problems with double obstacles. Zbl 0990.49012
Tao, Youshan; Gao, Guozhu
1
2001
Muskat problem with surface tension. Zbl 0884.35176
Hong, Jiaxing; Tao, Youshan; Yi, Fahuai
10
1997
Quasi-stationary Stefan problem as limit case of Mullins-Sekerka problem. Zbl 0883.35137
Yi, Fahuai; Tao, Youshan; Liu, Zuhan
4
1997
Classical solution of Verigin problem with surface tension. Zbl 0889.35055
Tao, Youshan
2
1997
A chemical diffusion process with reaction taking place at free boundary. Zbl 0906.35117
Ding, Shijin; Tao, Youshan; Yin, Hong-Ming
1
1997
Classical Verigin problem as a limit case of Verigin problem with surface tension at free boundary. Zbl 0859.35065
Tao, Youshan; Yi, Fahuai
2
1996
all top 5

Cited by 1,423 Authors

122 Winkler, Michael
70 Tao, Youshan
67 Mu, Chunlai
53 Zheng, Jiashan
49 Zheng, Pan
40 Wang, Liangchen
39 Liu, Bin
39 Wang, Zhian
34 Yokota, Tomomi
32 Ren, Guoqiang
28 Wang, Yifu
28 Xiang, Zhaoyin
27 Jin, Haiyang
26 Lankeit, Johannes
26 Zheng, Sining
25 Elaiw, Ahmed M.
23 Lin, Ke
22 Shen, Wenxian
21 Viglialoro, Giuseppe
21 Xiang, Tian
20 Liu, Zuhan
19 Bellomo, Nicola
19 Wang, Wei
18 Mizukami, Masaaki
17 Deng, Zuicha
17 Hu, Xuegang
17 Wang, Yulan
17 Yang, Liu
16 Dai, Feng
16 Fuest, Mario
16 Liu, Ji
16 Zhou, Ling
15 Black, Tobias
15 Fujie, Kentaro
15 Jiang, Jie
15 Kang, Kyungkeun
15 Qiu, Shuyan
14 Guillén González, Francisco M.
14 Ke, Yuanyuan
14 Negreanu, Mihaela
14 Tu, Xinyu
13 Li, Zhongping
13 Liu, Zhengrong
13 Shangerganesh, Lingeshwaran
13 Wang, Jianping
13 Wang, Yilong
13 Zhang, Qian
13 Zhang, Qingshan
13 Zhao, Jie
13 Zhao, Kun
12 Cao, Xinru
12 Jin, Chunhua
12 Li, Xie
12 Wang, Qi
11 Balachandran, Krishnan
11 Guo, Qian
11 Li, Dan
11 Lyu, Wenbin
11 Pan, Xu
11 Surulescu, Christina
10 Guo, Shangjiang
10 Ishida, Sachiko
10 Salako, Rachidi Bolaji
10 Stinner, Christian
10 Tello, José Ignacio
9 Alshamrani, Noura H.
9 Chiyo, Yutaro
9 Cieślak, Tomasz
9 Ding, Mengyao
9 Li, Yuxiang
9 Shi, Junping
9 Villamizar-Roa, Elder Jesús
9 Xie, Li
8 Frassu, Silvia
8 Hobiny, Aatef D.
8 Lee, Jihoon
8 Lei, Yuzhu
8 Li, Jing
8 Lin, Zhigui
8 Liu, Changchun
8 Marras, Monica
8 Matioc, Bogdan-Vasile
8 Rodríguez-Bellido, Maria Angeles
8 Rueda-Gómez, Diego Armando
8 Tao, Xueyan
8 Wang, Jinfeng
8 Wang, Mingxin
8 Wu, Sainan
8 Xing, Jie
8 Yoon, Changwook
7 Ahn, Inkyung
7 Ahn, Jaewook
7 Aihara, Kazuyuki
7 Bellouquid, Abdelghani
7 Chouhad, Nadia
7 Heihoff, Frederic
7 Jia, Zhe
7 Li, Bin
7 Li, Chenglin
7 Li, Yan
...and 1,323 more Authors
all top 5

Cited in 218 Serials

183 Journal of Differential Equations
138 Journal of Mathematical Analysis and Applications
112 Nonlinear Analysis. Real World Applications
112 Discrete and Continuous Dynamical Systems. Series B
102 ZAMP. Zeitschrift für angewandte Mathematik und Physik
92 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
51 Discrete and Continuous Dynamical Systems
38 Mathematical Methods in the Applied Sciences
38 Applied Mathematics Letters
35 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
34 Nonlinearity
32 Computers & Mathematics with Applications
29 Acta Applicandae Mathematicae
25 Applicable Analysis
23 Journal of Mathematical Physics
23 SIAM Journal on Mathematical Analysis
21 Communications on Pure and Applied Analysis
20 Calculus of Variations and Partial Differential Equations
19 Mathematical Biosciences and Engineering
19 Boundary Value Problems
19 Discrete and Continuous Dynamical Systems. Series S
14 Applied Mathematics and Computation
13 International Journal of Biomathematics
12 Journal of Dynamics and Differential Equations
11 Journal of Mathematical Biology
11 European Journal of Applied Mathematics
11 Electronic Research Archive
10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
10 Communications in Nonlinear Science and Numerical Simulation
10 Journal of Theoretical Biology
9 Bulletin of Mathematical Biology
9 SIAM Journal on Applied Mathematics
9 NoDEA. Nonlinear Differential Equations and Applications
9 Journal of Mathematical Fluid Mechanics
9 Journal of Evolution Equations
8 Journal of Nonlinear Science
8 Acta Mathematica Scientia. Series B. (English Edition)
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Chaos, Solitons and Fractals
7 Applied Mathematical Modelling
7 Communications in Partial Differential Equations
7 Electronic Journal of Differential Equations (EJDE)
7 Advances in Difference Equations
6 Applied Mathematics and Optimization
6 Mathematische Nachrichten
6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
6 Discrete Dynamics in Nature and Society
6 Advances in Nonlinear Analysis
6 AIMS Mathematics
5 Indiana University Mathematics Journal
5 Journal of Computational and Applied Mathematics
5 Journal of Functional Analysis
5 Mathematics and Computers in Simulation
5 Results in Mathematics
5 Journal of Inverse and Ill-Posed Problems
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Journal of Biological Dynamics
5 Evolution Equations and Control Theory
4 Studies in Applied Mathematics
4 Transactions of the American Mathematical Society
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Physica D
4 Applied Mathematics. Series B (English Edition)
4 Acta Mathematica Sinica. English Series
4 Acta Mathematica Scientia. Series A. (Chinese Edition)
4 Journal of Applied Mathematics and Computing
4 Computational & Mathematical Methods in Medicine
4 Science China. Mathematics
4 Journal of Elliptic and Parabolic Equations
3 Computer Methods in Applied Mechanics and Engineering
3 Journal of Computational Physics
3 Physica A
3 Funkcialaj Ekvacioj. Serio Internacia
3 Journal of Optimization Theory and Applications
3 Chinese Annals of Mathematics. Series B
3 Mathematical and Computer Modelling
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Journal of Biological Systems
3 Qualitative Theory of Dynamical Systems
3 Mathematical Modelling and Analysis
3 Quantitative Finance
3 Advanced Nonlinear Studies
3 Multiscale Modeling & Simulation
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Kinetic and Related Models
3 Open Mathematics
2 Communications in Mathematical Physics
2 Inverse Problems
2 Mathematical Biosciences
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Bulletin of the London Mathematical Society
2 Czechoslovak Mathematical Journal
2 Kyungpook Mathematical Journal
2 Proceedings of the American Mathematical Society
2 Quarterly of Applied Mathematics
2 SIAM Journal on Control and Optimization
2 SIAM Journal on Numerical Analysis
2 Acta Mathematicae Applicatae Sinica
2 Applied Numerical Mathematics
...and 118 more Serials

Citations by Year