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D-Index & Metrics

Mathematics

D-Index
42
Citations
8918
World Ranking
1768
National Ranking
100

Overview

Youshan Tao is affiliated with Shanghai Jiao Tong University in China and works primarily at the intersection of biology and mathematics with a focus on mathematical biology and related modeling techniques.

The scientist's research contributions span several fields of study including:

  • Biochemistry, Genetics and Molecular Biology
  • Mathematics
  • Medicine

Within these areas, Tao has delved into multiple subfields such as:

  • Modeling and Simulation
  • Molecular Biology
  • Public Health, Environmental and Occupational Health
  • Genetics
  • Cell Biology

The overarching topics addressed in their work include:

  • Mathematical Biology Tumor Growth
  • Gene Regulatory Network Analysis
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Evolution and Genetic Dynamics
  • Cellular Mechanics and Interactions
  • Advanced Mathematical Modeling in Engineering
  • Advanced Mathematical Theories

Tao's recent papers demonstrate a strong focus on mathematical modeling in biological systems and differential equations. Selected publications include:

  • "Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension," 2022, Journal of Differential Equations
  • "Large time behavior in a predator-prey system with indirect pursuit-evasion interaction," 2020, Discrete and Continuous Dynamical Systems - B
  • "Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System," 2022, SIAM Journal on Mathematical Analysis
  • "A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation," 2021, Journal of Functional Analysis
  • "A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy," 2020, Nonlinear Analysis

The scientist frequently collaborates with researchers such as Michael Winkler, Genglin Li, and Hongyi Zhang, among others.

Publication venues where Tao's work commonly appears include:

  • Journal of Differential Equations
  • Nonlinear Analysis Real World Applications
  • Journal of Mathematical Analysis and Applications
  • arXiv (Cornell University)
  • Discrete and Continuous Dynamical Systems - B

Best Publications

  • Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues

    N. Bellomo;N. Bellomo;A. Bellouquid;Y. Tao;M. Winkler

  • Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity

    Youshan Tao;Michael Winkler

  • Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant

    Youshan Tao;Michael Winkler

  • Boundedness in a chemotaxis model with oxygen consumption by bacteria

    Youshan Tao

  • Competing effects of attraction vs. repulsion in chemotaxis

    Youshan Tao;Zhi-An Wang

  • A CHEMOTAXIS-HAPTOTAXIS MODEL: THE ROLES OF NONLINEAR DIFFUSION AND LOGISTIC SOURCE ∗

    Youshan Tao;Michael Winkler

  • Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion

    Youshan Tao;Michael Winkler

  • Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis–fluid system

    Youshan Tao;Michael Winkler

  • Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion

    Youshan Tao;Michael Winkler

  • Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion

    Youshan Tao;Michael Winkler

  • Energy-type estimates and global solvability in a two-dimensional chemotaxis–haptotaxis model with remodeling of non-diffusible attractant

    Youshan Tao;Michael Winkler

  • Global existence of classical solutions to a predator–prey model with nonlinear prey-taxis

    Youshan Tao

  • Blow-up prevention by quadratic degradation in a two-dimensional Keller–Segel–Navier–Stokes system

    Youshan Tao;Michael Winkler

  • Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system

    Youshan Tao;Michael Winkler

  • Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production

    Youshan Tao;Michael Winkler

  • Global solution for a chemotactic-haptotactic model of cancer invasion

    Youshan Tao;Mingjun Wang

  • A Combined Chemotaxis-haptotaxis System: The Role of Logistic Source

    Youshan Tao;Mingjun Wang

  • Global boundedness in a fully parabolic attraction–repulsion chemotaxis model

    Dongmei Liu;Youshan Tao

  • Boundedness vs.blow-up in a two-species chemotaxis system with two chemicals

    Youshan Tao;Michael Winkler

  • Global existence for a haptotaxis model of cancer invasion with tissue remodeling

    Youshan Tao

Frequent Co-Authors

Michael Winkler
Michael Winkler University of Paderborn
Nicola Bellomo
Nicola Bellomo University of Granada
Kazuyuki Aihara
Kazuyuki Aihara University of Tokyo
Yuan Lou
Yuan Lou Shanghai Jiao Tong University
Avner Friedman
Avner Friedman The Ohio State University

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