## Tao, Youshan

Compute Distance To:
 Author ID: tao.youshan Published as: Tao, Youshan; Tao, Y.; Tao, You Shan; Tao, YouShan more...less
 Documents Indexed: 104 Publications since 1994 Co-Authors: 38 Co-Authors with 85 Joint Publications 1,720 Co-Co-Authors
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### Co-Authors

 14 single-authored 36 Winkler, Michael 10 Guo, Qian 6 Bellomo, Nicola 4 Aihara, Kazuyuki 4 Gao, Guozhu 3 Li, Genglin 3 Lou, Yuan 3 Yi, Fahuai 3 Yoshida, Norio 2 Friedman, Avner 2 Hu, Bingran 2 Liu, Dongmei 2 Wang, Mingjun 2 Wang, Zhian 1 Bellouquid, Abdelghani 1 Bian, Baojun 1 Cao, Xinru 1 Chen, Miaojun 1 Chen, Zhen 1 Cui, Chun 1 Ding, Shijin 1 Fokas, Athanassios S. 1 He, Jingsong 1 Hong, Jiaxing 1 Hu, Bei 1 Jiang, Lishang 1 Li, Huayin 1 Liu, Zuhan 1 Outada, Nisrine 1 Painter, Kevin J. 1 Porsezian, Kuppusamy 1 Soler, Juan S. 1 Tang, Xifeng 1 Vernier-Piro, Stella 1 Wang, Lihe 1 Xu, Danni 1 Yang, Yan 1 Yin, Hongming 1 Zhang, Jizhou 1 Zhang, Na 1 Zhu, Guo
all top 5

### Serials

 11 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 9 Journal of Mathematical Analysis and Applications 9 Journal of Differential Equations 6 SIAM Journal on Mathematical Analysis 5 Applied Mathematics. Series B (English Edition) 5 Discrete and Continuous Dynamical Systems. Series B 4 Nonlinearity 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Nonlinear Analysis. Real World Applications 3 Journal of Mathematical Biology 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 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 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
all top 5

### Fields

 99 Partial differential equations (35-XX) 80 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

85 Publications have been cited 3,413 times in 1,295 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.
2015
Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity. Zbl 1382.35127
Tao, Youshan; Winkler, Michael
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
2012
Competing effects of attraction vs. repulsion in chemotaxis. Zbl 1403.35136
Tao, Youshan; Wang, Zhi-An
2013
Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion. Zbl 1283.35154
Tao, Youshan; Winkler, Michael
2013
A chemotaxis-haptotaxis model: the roles of nonlinear diffusion and logistic source. Zbl 1259.35210
Tao, Youshan; Winkler, Michael
2011
Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion. Zbl 1276.35105
Tao, Youshan; Winkler, Michael
2012
Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system. Zbl 1328.35084
Tao, Youshan; Winkler, Michael
2015
Boundedness in a chemotaxis model with oxygen consumption by bacteria. Zbl 1225.35118
Tao, Youshan
2011
Large time behavior in a multidimensional chemotaxis-haptotaxis model with slow signal diffusion. Zbl 1328.35103
Tao, Youshan; Winkler, Michael
2015
Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system. Zbl 1356.35054
Tao, Youshan; Winkler, Michael
2016
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
2014
Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis. Zbl 1195.35171
Tao, Youshan
2010
Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production. Zbl 1406.35068
Tao, Youshan; Winkler, Michael
2017
Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals. Zbl 1329.35075
Winkler, Michael; Tao, Youshan
2015
Global solution for a chemotactic-haptotactic model of cancer invasion. Zbl 1160.35431
Tao, Youshan; Wang, Mingjun
2008
Global boundedness in a fully parabolic attraction-repulsion chemotaxis model. Zbl 1331.35174
Liu, Dongmei; Tao, Youshan
2015
Identifying the volatility of underlying assets from option prices. Zbl 0997.91024
Jiang, Lishang; Tao, Youshan
2001
Dominance of chemotaxis in a chemotaxis-haptotaxis model. Zbl 1293.35047
Tao, Youshan; Winkler, Michael
2014
A combined chemotaxis-haptotaxis system: the role of logistic source. Zbl 1201.35005
Tao, Youshan; Wang, Mingjun
2009
Global existence for a haptotaxis model of cancer invasion with tissue remodeling. Zbl 1205.35144
Tao, Youshan
2011
To the exclusion of blow-up in a three-dimensional chemotaxis-growth model with indirect attractant production. Zbl 1351.35076
Hu, Bingran; Tao, Y.
2016
Effects of signal-dependent motilities in a Keller-Segel-type reaction-diffusion system. Zbl 06761738
Tao, Youshan; Winkler, Michael
2017
Global existence of classical solutions to a combined chemotaxis-haptotaxis model with logistic source. Zbl 1160.92027
Tao, Youshan
2009
Boundedness and stabilization in a multi-dimensional chemotaxis-haptotaxis model. Zbl 1312.35171
Tao, Youshan; Winkler, Michael
2014
Persistence of mass in a chemotaxis system with logistic source. Zbl 1321.35084
Tao, Youshan; Winkler, Michael
2015
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
2013
Boundedness in a chemotaxis system with nonlinear signal production. Zbl 1374.35009
Liu, Dongmei; Tao, Youshan
2016
Global dynamics in a higher-dimensional repulsion chemotaxis model with nonlinear sensitivity. Zbl 1282.35189
Tao, Youshan
2013
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
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
2019
An elliptic-hyperbolic free boundary problem modelling cancer therapy. Zbl 1105.35149
Tao, Youshan; Chen, Miaojun
2006
Boundedness in a chemotaxis system with indirect signal production and generalized logistic source. Zbl 06826042
Li, Huayin; Tao, Youshan
2018
Boundedness in a parabolic-elliptic chemotaxis-growth system under a critical parameter condition. Zbl 06648470
Hu, Bingran; Tao, Youshan
2017
Stabilization in a chemotaxis model for virus infection. Zbl 1439.35052
Bellomo, Nicola; Tao, Youshan
2020
Approaching the ideal free distribution in two-species competition models with fitness-dependent dispersal. Zbl 1295.35098
Lou, Yuan; Tao, Youshan; Winkler, Michael
2014
The competitive dynamics between tumor cells, a replication-competent virus and an immune response. Zbl 1066.92035
Tao, Youshan; Guo, Qian
2005
Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Zbl 1430.35132
Tao, Youshan; Winkler, Michael
2020
Nonlinear stability of the Muskat problem with capillary pressure at the free boundary. Zbl 1028.35123
Friedman, Avner; Tao, Youshan
2003
A chemotaxis-haptotaxis system with haptoattractant remodeling: boundedness enforced by mild saturation of signal production. Zbl 1412.35181
Tao, Youshan; Winkler, Michael
2019
A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. Zbl 1442.35480
Tao, Youshan; Winkler, Michael
2020
A free boundary problem modeling the cell cycle and cell movement in multicellular tumor spheroids. Zbl 1178.35387
Tao, Youshan
2009
Analysis of a model of a virus that replicates selectively in tumor cells. Zbl 1052.92027
Friedman, Avner; Tao, Youshan
2003
Nonlinear analysis of a model of vascular tumour growth and treatment. Zbl 1073.35215
Tao, Youshan; Yoshida, Norio; Guo, Qian
2004
A density-dependent chemotaxis-haptotaxis system modeling cancer invasion. Zbl 1186.92026
Tao, Youshan; Cui, Chun
2010
A parabolic-hyperbolic free boundary problem modelling tumor treatment with virus. Zbl 1115.35137
Tao, Youshan; Zhang, Hui
2007
Mathematical modeling of prostate tumor growth under intermittent androgen suppression with partial differential equations. Zbl 1165.92309
Guo, Qian; Tao, Youshan; Aihara, Kazuyuki
2008
Global solution to a model of tumor invasion. Zbl 1135.92020
Tao, Youshan; Zhu, Guo
2007
Global smooth solvability of a parabolic-elliptic nutrient taxis system in domains of arbitrary dimension. Zbl 1411.35146
Tao, Youshan; Winkler, Michael
2019
A model at the macroscopic scale of prostate tumor growth under intermittent androgen suppression. Zbl 1180.35584
Tao, Youshan; Guo, Qian; Aihara, Kazuyuki
2009
Muskat problem with surface tension. Zbl 0884.35176
Hong, Jiaxing; Tao, Youshan; Yi, Fahuai
1997
A mathematical model of prostate tumor growth under hormone therapy with mutation inhibitor. Zbl 1196.35216
Tao, Youshan; Guo, Qian; Aihara, Kazuyuki
2010
Boundedness and stabilization in a population model with cross-diffusion for one species. Zbl 1439.35275
Tao, Youshan; Winkler, Michael
2019
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
2014
A free boundary problem modelling cancer radiovirotherapy. Zbl 1141.35476
Tao, Youshan; Guo, Qian
2007
Boundedness and stabilization enforced by mild saturation of taxis in a producer-scrounger model. Zbl 1459.92018
Cao, Xinru; Tao, Youshan
2021
Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction. Zbl 1458.35076
Tao, Youshan; Winkler, Michael
2021
Analysis of a chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis. Zbl 1439.35101
Li, Genglin; Tao, Youshan
2020
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.
2013
Nonexistence of nonconstant steady-state solutions in a triangular cross-diffusion model. Zbl 1372.35038
Lou, Yuan; Tao, Youshan; Winkler, Michael
2017
Large time behavior in a predator-prey system with indirect pursuit-evasion interaction. Zbl 1453.92250
Li, Genglin; Tao, Youshan; Winkler, Michael
2020
Analysis of a chemotaxis model for multi-species host-parasitoid interactions. Zbl 1159.35376
Tang, Xifeng; Tao, Youshan
2008
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
2016
Asymptotic behavior in a chemotaxis-growth system with nonlinear production of signals. Zbl 1360.35028
Tao, Youshan; Liu, Yuanyuan
2017
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
2021
Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. Zbl 1479.35120
Tao, Youshan; Winkler, Michael
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
2019
Nonlinear stability of a heterogeneous state in a PDE-ODE model for acid-mediated tumor invasion. Zbl 1326.35407
Tao, Youshan; Tello, J. Ignacio
2016
Existence, uniqueness and approximation of classical solutions to nonlinear two-point boundary value problems. Zbl 1011.34008
Tao, Youshan; Gao, Guozhu
2002
Quasi-stationary Stefan problem as limit case of Mullins-Sekerka problem. Zbl 0883.35137
Yi, Fahuai; Tao, Youshan; Liu, Zuhan
1997
Chemotaxis systems in complex frameworks: pattern formation, qualitative analysis and blowup prevention. Zbl 1451.92062
Bellomo, N.; Tao, Y.; Winkler, M.
2020
Parameter identification for a model of tumor growth in the presence of inhibitors. Zbl 1212.35516
Tao, Youshan; Bian, Baojun
2009
Oscillation of nonlinear hyperbolic equations with distributed deviating arguments. Zbl 1107.35405
Tao, Youshan; Yoshida, Norio
2005
Cross-diffusion models: analytic and multiscale problems. Zbl 1408.35078
Bellomo, N.; Tao, Y.; Winkler, M.
2018
Taxis-driven formation of singular hotspots in a May-Nowak-type model for virus infection. Zbl 1461.35201
Tao, Youshan; Winkler, Michael
2021
Classical solution of Verigin problem with surface tension. Zbl 0889.35055
Tao, Youshan
1997
The role of local kinetics in a three-component chemotaxis model for Alopecia areata. Zbl 1481.35061
Lou, Yuan; Tao, Youshan
2021
Spin Hall effect associated with $$SU(2)$$ gauge field. Zbl 1188.81101
Tao, Y.
2010
Analysis and simulation of a model for intracellular drug accumulation in tumors. Zbl 1089.92027
Tao, Youshan; Guo, Qian
2006
Parabolic approximation to variational problems with double obstacles. Zbl 0990.49012
Tao, Youshan; Gao, Guozhu
2001
Classical Verigin problem as a limit case of Verigin problem with surface tension at free boundary. Zbl 0859.35065
Tao, Youshan; Yi, Fahuai
1996
Critical mass of lymphocytes for the coexistence in a chemotaxis system modeling tumor-immune cell interactions. Zbl 1464.35364
Hu, Bei; Tao, Youshan
2020
Dynamics in a parabolic-elliptic two-species population competition model with cross-diffusion for one species. Zbl 1480.92174
Liu, Yuanyuan; Tao, Youshan
2017
A chemical diffusion process with reaction taking place at free boundary. Zbl 0906.35117
Ding, Shijin; Tao, Youshan; Yin, Hong-Ming
1997
Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy. Zbl 1484.35363
Tao, Youshan; Winkler, Michael
2022
Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy. Zbl 1484.35363
Tao, Youshan; Winkler, Michael
2022
Boundedness and stabilization enforced by mild saturation of taxis in a producer-scrounger model. Zbl 1459.92018
Cao, Xinru; Tao, Youshan
2021
Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction. Zbl 1458.35076
Tao, Youshan; Winkler, Michael
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
2021
Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. Zbl 1479.35120
Tao, Youshan; Winkler, Michael
2021
Taxis-driven formation of singular hotspots in a May-Nowak-type model for virus infection. Zbl 1461.35201
Tao, Youshan; Winkler, Michael
2021
The role of local kinetics in a three-component chemotaxis model for Alopecia areata. Zbl 1481.35061
Lou, Yuan; Tao, Youshan
2021
Stabilization in a chemotaxis model for virus infection. Zbl 1439.35052
Bellomo, Nicola; Tao, Youshan
2020
Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Zbl 1430.35132
Tao, Youshan; Winkler, Michael
2020
A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. Zbl 1442.35480
Tao, Youshan; Winkler, Michael
2020
Analysis of a chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis. Zbl 1439.35101
Li, Genglin; Tao, Youshan
2020
Large time behavior in a predator-prey system with indirect pursuit-evasion interaction. Zbl 1453.92250
Li, Genglin; Tao, Youshan; Winkler, Michael
2020
Chemotaxis systems in complex frameworks: pattern formation, qualitative analysis and blowup prevention. Zbl 1451.92062
Bellomo, N.; Tao, Y.; Winkler, M.
2020
Critical mass of lymphocytes for the coexistence in a chemotaxis system modeling tumor-immune cell interactions. Zbl 1464.35364
Hu, Bei; Tao, Youshan
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
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
2019
A chemotaxis-haptotaxis system with haptoattractant remodeling: boundedness enforced by mild saturation of signal production. Zbl 1412.35181
Tao, Youshan; Winkler, Michael
2019
Global smooth solvability of a parabolic-elliptic nutrient taxis system in domains of arbitrary dimension. Zbl 1411.35146
Tao, Youshan; Winkler, Michael
2019
Boundedness and stabilization in a population model with cross-diffusion for one species. Zbl 1439.35275
Tao, Youshan; Winkler, Michael
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
2019
Boundedness in a chemotaxis system with indirect signal production and generalized logistic source. Zbl 06826042
Li, Huayin; Tao, Youshan
2018
Cross-diffusion models: analytic and multiscale problems. Zbl 1408.35078
Bellomo, N.; Tao, Y.; Winkler, M.
2018
Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production. Zbl 1406.35068
Tao, Youshan; Winkler, Michael
2017
Effects of signal-dependent motilities in a Keller-Segel-type reaction-diffusion system. Zbl 06761738
Tao, Youshan; Winkler, Michael
2017
Boundedness in a parabolic-elliptic chemotaxis-growth system under a critical parameter condition. Zbl 06648470
Hu, Bingran; Tao, Youshan
2017
Nonexistence of nonconstant steady-state solutions in a triangular cross-diffusion model. Zbl 1372.35038
Lou, Yuan; Tao, Youshan; Winkler, Michael
2017
Asymptotic behavior in a chemotaxis-growth system with nonlinear production of signals. Zbl 1360.35028
Tao, Youshan; Liu, Yuanyuan
2017
Dynamics in a parabolic-elliptic two-species population competition model with cross-diffusion for one species. Zbl 1480.92174
Liu, Yuanyuan; Tao, Youshan
2017
Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system. Zbl 1356.35054
Tao, Youshan; Winkler, Michael
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.
2016
Boundedness in a chemotaxis system with nonlinear signal production. Zbl 1374.35009
Liu, Dongmei; Tao, Youshan
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
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
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.
2015
Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system. Zbl 1328.35084
Tao, Youshan; Winkler, Michael
2015
Large time behavior in a multidimensional chemotaxis-haptotaxis model with slow signal diffusion. Zbl 1328.35103
Tao, Youshan; Winkler, Michael
2015
Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals. Zbl 1329.35075
Winkler, Michael; Tao, Youshan
2015
Global boundedness in a fully parabolic attraction-repulsion chemotaxis model. Zbl 1331.35174
Liu, Dongmei; Tao, Youshan
2015
Persistence of mass in a chemotaxis system with logistic source. Zbl 1321.35084
Tao, Youshan; Winkler, Michael
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
2014
Dominance of chemotaxis in a chemotaxis-haptotaxis model. Zbl 1293.35047
Tao, Youshan; Winkler, Michael
2014
Boundedness and stabilization in a multi-dimensional chemotaxis-haptotaxis model. Zbl 1312.35171
Tao, Youshan; Winkler, Michael
2014
Approaching the ideal free distribution in two-species competition models with fitness-dependent dispersal. Zbl 1295.35098
Lou, Yuan; Tao, Youshan; Winkler, Michael
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
2014
Competing effects of attraction vs. repulsion in chemotaxis. Zbl 1403.35136
Tao, Youshan; Wang, Zhi-An
2013
Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion. Zbl 1283.35154
Tao, Youshan; Winkler, Michael
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
2013
Global dynamics in a higher-dimensional repulsion chemotaxis model with nonlinear sensitivity. Zbl 1282.35189
Tao, Youshan
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.
2013
Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity. Zbl 1382.35127
Tao, Youshan; Winkler, Michael
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
2012
Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion. Zbl 1276.35105
Tao, Youshan; Winkler, Michael
2012
A chemotaxis-haptotaxis model: the roles of nonlinear diffusion and logistic source. Zbl 1259.35210
Tao, Youshan; Winkler, Michael
2011
Boundedness in a chemotaxis model with oxygen consumption by bacteria. Zbl 1225.35118
Tao, Youshan
2011
Global existence for a haptotaxis model of cancer invasion with tissue remodeling. Zbl 1205.35144
Tao, Youshan
2011
Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis. Zbl 1195.35171
Tao, Youshan
2010
A density-dependent chemotaxis-haptotaxis system modeling cancer invasion. Zbl 1186.92026
Tao, Youshan; Cui, Chun
2010
A mathematical model of prostate tumor growth under hormone therapy with mutation inhibitor. Zbl 1196.35216
Tao, Youshan; Guo, Qian; Aihara, Kazuyuki
2010
Spin Hall effect associated with $$SU(2)$$ gauge field. Zbl 1188.81101
Tao, Y.
2010
A combined chemotaxis-haptotaxis system: the role of logistic source. Zbl 1201.35005
Tao, Youshan; Wang, Mingjun
2009
Global existence of classical solutions to a combined chemotaxis-haptotaxis model with logistic source. Zbl 1160.92027
Tao, Youshan
2009
A free boundary problem modeling the cell cycle and cell movement in multicellular tumor spheroids. Zbl 1178.35387
Tao, Youshan
2009
A model at the macroscopic scale of prostate tumor growth under intermittent androgen suppression. Zbl 1180.35584
Tao, Youshan; Guo, Qian; Aihara, Kazuyuki
2009
Parameter identification for a model of tumor growth in the presence of inhibitors. Zbl 1212.35516
Tao, Youshan; Bian, Baojun
2009
Global solution for a chemotactic-haptotactic model of cancer invasion. Zbl 1160.35431
Tao, Youshan; Wang, Mingjun
2008
Mathematical modeling of prostate tumor growth under intermittent androgen suppression with partial differential equations. Zbl 1165.92309
Guo, Qian; Tao, Youshan; Aihara, Kazuyuki
2008
Analysis of a chemotaxis model for multi-species host-parasitoid interactions. Zbl 1159.35376
Tang, Xifeng; Tao, Youshan
2008
A parabolic-hyperbolic free boundary problem modelling tumor treatment with virus. Zbl 1115.35137
Tao, Youshan; Zhang, Hui
2007
Global solution to a model of tumor invasion. Zbl 1135.92020
Tao, Youshan; Zhu, Guo
2007
A free boundary problem modelling cancer radiovirotherapy. Zbl 1141.35476
Tao, Youshan; Guo, Qian
2007
An elliptic-hyperbolic free boundary problem modelling cancer therapy. Zbl 1105.35149
Tao, Youshan; Chen, Miaojun
2006
Analysis and simulation of a model for intracellular drug accumulation in tumors. Zbl 1089.92027
Tao, Youshan; Guo, Qian
2006
The competitive dynamics between tumor cells, a replication-competent virus and an immune response. Zbl 1066.92035
Tao, Youshan; Guo, Qian
2005
Oscillation of nonlinear hyperbolic equations with distributed deviating arguments. Zbl 1107.35405
Tao, Youshan; Yoshida, Norio
2005
Nonlinear analysis of a model of vascular tumour growth and treatment. Zbl 1073.35215
Tao, Youshan; Yoshida, Norio; Guo, Qian
2004
Nonlinear stability of the Muskat problem with capillary pressure at the free boundary. Zbl 1028.35123
Friedman, Avner; Tao, Youshan
2003
Analysis of a model of a virus that replicates selectively in tumor cells. Zbl 1052.92027
Friedman, Avner; Tao, Youshan
2003
Existence, uniqueness and approximation of classical solutions to nonlinear two-point boundary value problems. Zbl 1011.34008
Tao, Youshan; Gao, Guozhu
2002
Identifying the volatility of underlying assets from option prices. Zbl 0997.91024
Jiang, Lishang; Tao, Youshan
2001
Parabolic approximation to variational problems with double obstacles. Zbl 0990.49012
Tao, Youshan; Gao, Guozhu
2001
Muskat problem with surface tension. Zbl 0884.35176
Hong, Jiaxing; Tao, Youshan; Yi, Fahuai
1997
Quasi-stationary Stefan problem as limit case of Mullins-Sekerka problem. Zbl 0883.35137
Yi, Fahuai; Tao, Youshan; Liu, Zuhan
1997
Classical solution of Verigin problem with surface tension. Zbl 0889.35055
Tao, Youshan
1997
A chemical diffusion process with reaction taking place at free boundary. Zbl 0906.35117
Ding, Shijin; Tao, Youshan; Yin, Hong-Ming
1997
Classical Verigin problem as a limit case of Verigin problem with surface tension at free boundary. Zbl 0859.35065
Tao, Youshan; Yi, Fahuai
1996
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### Cited by 1,081 Authors

 94 Winkler, Michael 61 Tao, Youshan 59 Mu, Chunlai 36 Zheng, Jiashan 36 Zheng, Pan 32 Wang, Liangchen 32 Wang, Zhian 26 Yokota, Tomomi 25 Wang, Yifu 25 Zheng, Sining 23 Jin, Hai-Yang 23 Xiang, Zhaoyin 22 Lin, Ke 22 Ren, Guoqiang 21 Elaiw, Ahmed M. 21 Lankeit, Johannes 18 Xiang, Tian 17 Shen, Wenxian 16 Bellomo, Nicola 16 Hu, Xuegang 16 Mizukami, Masaaki 16 Viglialoro, Giuseppe 16 Wang, Wei 16 Wang, Yulan 15 Deng, Zuicha 15 Yang, Liu 14 Black, Tobias 14 Kang, Kyungkeun 13 Liu, Ji 13 Liu, Zhengrong 13 Wang, Yilong 12 Fujie, Kentarou 12 Li, Xie 12 Liu, Zuhan 12 Negreanu, Mihaela 12 Shangerganesh, Lingeshwaran 11 Balachandran, Krishnan 11 Cao, Xinru 11 Guo, Qian 11 Jiang, Jie 11 Li, Dan 11 Zhang, Qian 11 Zhao, Jie 11 Zhao, Kun 10 Dai, Feng 10 Fuest, Mario 10 Jin, Chunhua 10 Qiu, Shuyan 10 Salako, Rachidi Bolaji 10 Stinner, Christian 10 Zhang, Qingshan 10 Zhou, Ling 9 Alshamrani, Noura H. 9 Cieślak, Tomasz 9 Ke, Yuanyuan 9 Surulescu, Christina 9 Tu, Xinyu 8 Ding, Mengyao 8 Guillén González, Francisco M. 8 Ishida, Sachiko 8 Li, Yuxiang 8 Lin, Zhigui 8 Pan, Xu 8 Tello, José Ignacio 8 Wu, Sainan 8 Xing, Jie 7 Aihara, Kazuyuki 7 Bellouquid, Abdelghani 7 Li, Chenglin 7 Ling, Zhi 7 Matioc, Bogdan-Vasile 7 Rodríguez-Bellido, Maria Angeles 7 Rueda-Gómez, Diego Armando 7 Shi, Junping 7 Villamizar-Roa, Elder Jesús 6 Barani Balan, Natesan 6 Chiyo, Yutaro 6 Guo, Shangjiang 6 Lee, Jihoon 6 Li, Jing 6 Liu, Suying 6 Marras, Monica 6 Pang, Peter Y. H. 6 Shi, Shijie 6 Tao, Xueyan 6 Wang, Jinfeng 6 Wu, Chunyan 6 Yu, Hao 6 Yu, Jianning 6 Zhigun, Anna 5 Al Agha, Afnan D. 5 Carrillo de la Plata, José Antonio 5 Chouhad, Nadia 5 Dai, Binxiang 5 Espejo, Elio E. 5 Hobiny, Aatef D. 5 Issa, Tahir Bachar 5 Jia, Zhe 5 Kamynin, Vitaly Leonidovich 5 Li, Zhongping ...and 981 more Authors
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### Cited in 188 Serials

 143 Journal of Differential Equations 117 Journal of Mathematical Analysis and Applications 89 Nonlinear Analysis. Real World Applications 76 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 72 ZAMP. Zeitschrift für angewandte Mathematik und Physik 63 Discrete and Continuous Dynamical Systems. Series B 44 Discrete and Continuous Dynamical Systems 30 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 29 Computers & Mathematics with Applications 28 Applied Mathematics Letters 25 Acta Applicandae Mathematicae 22 Applicable Analysis 22 Nonlinearity 21 Mathematical Methods in the Applied Sciences 20 SIAM Journal on Mathematical Analysis 16 Journal of Mathematical Physics 16 Communications on Pure and Applied Analysis 16 Discrete and Continuous Dynamical Systems. Series S 15 Calculus of Variations and Partial Differential Equations 15 Boundary Value Problems 13 Applied Mathematics and Computation 12 Mathematical Biosciences and Engineering 10 International Journal of Biomathematics 10 Journal of Theoretical Biology 8 Journal of Mathematical Biology 8 Journal of Dynamics and Differential Equations 7 Applied Mathematical Modelling 7 Communications in Partial Differential Equations 7 SIAM Journal on Applied Mathematics 7 Journal of Mathematical Fluid Mechanics 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Advances in Difference Equations 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Electronic Journal of Differential Equations (EJDE) 6 NoDEA. Nonlinear Differential Equations and Applications 6 Discrete Dynamics in Nature and Society 6 Journal of Evolution Equations 6 AIMS Mathematics 6 Electronic Research Archive 5 Chaos, Solitons and Fractals 5 Communications in Nonlinear Science and Numerical Simulation 4 Bulletin of Mathematical Biology 4 Indiana University Mathematics Journal 4 Journal of Computational and Applied Mathematics 4 Journal of Functional Analysis 4 Mathematics and Computers in Simulation 4 Results in Mathematics 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Journal of Nonlinear Science 4 Applied Mathematics. Series B (English Edition) 4 Acta Mathematica Scientia. Series A. (Chinese Edition) 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Journal of Biological Dynamics 4 Science China. Mathematics 4 Advances in Nonlinear Analysis 3 Applied Mathematics and Optimization 3 Funkcialaj Ekvacioj. Serio Internacia 3 Journal of Optimization Theory and Applications 3 Transactions of the American Mathematical Society 3 Chinese Annals of Mathematics. Series B 3 Physica D 3 Mathematical and Computer Modelling 3 European Journal of Applied Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Journal of Inverse and Ill-Posed Problems 3 Journal of Biological Systems 3 Mathematical Modelling and Analysis 3 Quantitative Finance 3 Kinetic and Related Models 2 Communications in Mathematical Physics 2 Computer Methods in Applied Mechanics and Engineering 2 Mathematical Biosciences 2 Physica A 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 Japan Journal of Industrial and Applied Mathematics 2 Computational Mathematics and Mathematical Physics 2 Topological Methods in Nonlinear Analysis 2 Computational and Applied Mathematics 2 Advances in Computational Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Vietnam Journal of Mathematics 2 Taiwanese Journal of Mathematics 2 Chaos 2 Acta Mathematica Sinica. English Series 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Applied Mathematics and Computing 2 Multiscale Modeling & Simulation 2 Analysis and Applications (Singapore) 2 Oberwolfach Reports 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Computational & Mathematical Methods in Medicine 2 Nonlinear Analysis. Hybrid Systems 2 Advances in Mathematical Physics 2 Afrika Matematika 2 Evolution Equations and Control Theory 2 East Asian Journal on Applied Mathematics ...and 88 more Serials
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### Cited in 29 Fields

 1,182 Partial differential equations (35-XX) 1,079 Biology and other natural sciences (92-XX) 84 Fluid mechanics (76-XX) 78 Numerical analysis (65-XX) 46 Ordinary differential equations (34-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Dynamical systems and ergodic theory (37-XX) 13 Probability theory and stochastic processes (60-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Operator theory (47-XX) 11 Systems theory; control (93-XX) 10 Integral equations (45-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Real functions (26-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 3 Statistics (62-XX) 3 Mechanics of deformable solids (74-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Operations research, mathematical programming (90-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX)