D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 42 Citations 6,765 118 World Ranking 1225 National Ranking 60

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Ecology
  • Statistics

Biological dispersal, Mathematical analysis, Advection, Habitat and Zero are his primary areas of study. Yuan Lou has researched Biological dispersal in several fields, including Competition and Extinction. His Uniqueness study in the realm of Mathematical analysis interacts with subjects such as Saturation, Saturation rate and Predation.

While the research belongs to areas of Uniqueness, Yuan Lou spends his time largely on the problem of Contrast, intersecting his research to questions surrounding Stability. Yuan Lou usually deals with Zero and limits it to topics linked to Domain and Laplace operator, Bounded function, Boundary, Representation and Elliptic curve. His study in the fields of Ideal free distribution under the domain of Ecology overlaps with other disciplines such as Competition model and Random diffusion.

His most cited work include:

  • Diffusion, Self-Diffusion and Cross-Diffusion (442 citations)
  • DIFFUSION VS CROSS-DIFFUSION : AN ELLIPTIC APPROACH (215 citations)
  • Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model (176 citations)

What are the main themes of his work throughout his whole career to date?

The scientist’s investigation covers issues in Biological dispersal, Statistical physics, Advection, Mathematical analysis and Reaction–diffusion system. His biological study spans a wide range of topics, including Ecology, Competition, Ideal free distribution and Evolutionarily stable strategy. His Statistical physics study integrates concerns from other disciplines, such as Random diffusion and Constant.

The study incorporates disciplines such as Atmospheric sciences, Mathematical optimization and Stability in addition to Advection. His research in Stability intersects with topics in Competitive Lotka–Volterra equations, Applied mathematics, Work and Steady state. His study on Bounded function, Elliptic operator and Zero is often connected to Degenerate energy levels as part of broader study in Mathematical analysis.

He most often published in these fields:

  • Biological dispersal (50.35%)
  • Statistical physics (38.46%)
  • Advection (35.66%)

What were the highlights of his more recent work (between 2018-2021)?

  • Biological dispersal (50.35%)
  • Statistical physics (38.46%)
  • Advection (35.66%)

In recent papers he was focusing on the following fields of study:

His scientific interests lie mostly in Biological dispersal, Statistical physics, Advection, Stability and Applied mathematics. His Biological dispersal research focuses on Competition and how it connects with Extinction. In Statistical physics, he works on issues like Reaction–diffusion system, which are connected to Strongly monotone.

His research ties Function and Advection together. His studies in Function integrate themes in fields like Competitive Lotka–Volterra equations, Steady state, Work and Boundary value problem. His Evolutionarily stable strategy research includes themes of Ideal free distribution, Ecology and Population model.

Between 2018 and 2021, his most popular works were:

  • Global dynamics of a Lotka–Volterra competition–diffusion–advection system in heterogeneous environments (40 citations)
  • Global dynamics of a Lotka–Volterra competition–diffusion–advection system in heterogeneous environments (40 citations)
  • A spatial SEIRS reaction-diffusion model in heterogeneous environment (20 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Ecology
  • Topology

Yuan Lou mainly focuses on Applied mathematics, Monotonic function, Stability, Statistical physics and Biological dispersal. His work carried out in the field of Applied mathematics brings together such families of science as Time complexity, Operator, Work and Conjecture. His Monotonic function study combines topics in areas such as Neumann boundary condition and Dirichlet distribution.

The concepts of his Stability study are interwoven with issues in Function, Competitive Lotka–Volterra equations, Steady state and Advection. His Constant research extends to Statistical physics, which is thematically connected. Recurrence relation, Asymptotic expansion, Statistics, Logistic function and Constraint are fields of study that intersect with his Biological dispersal study.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Diffusion, Self-Diffusion and Cross-Diffusion

Yuan Lou;Wei Ming Ni.
Journal of Differential Equations (1996)

758 Citations

DIFFUSION VS CROSS-DIFFUSION : AN ELLIPTIC APPROACH

Yuan Lou;Wei Ming Ni.
Journal of Differential Equations (1999)

341 Citations

Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model

.
Discrete and Continuous Dynamical Systems (2008)

310 Citations

On the effects of migration and spatial heterogeneity on single and multiple species

Yuan Lou.
Journal of Differential Equations (2006)

226 Citations

Random dispersal vs. non-local dispersal

Chiu-Yen Kao;Yuan Lou;Wenxian Shen.
Discrete and Continuous Dynamical Systems (2009)

198 Citations

On the global existence of a cross-diffusion system

Yuan Lou;Wei Ming Ni;Yaping Wu.
Discrete and Continuous Dynamical Systems (1998)

184 Citations

Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model

Linda J. S. Allen;Benjamin M. Bolker;Yuan Lou;Andrew L. Nevai.
Siam Journal on Applied Mathematics (2007)

183 Citations

Some uniqueness and exact multiplicity results for a predator-prey model

Yihong Du;Yuan Lou;Yuan Lou.
Transactions of the American Mathematical Society (1997)

158 Citations

Advection-mediated coexistence of competing species

Robert Stephen Cantrell;Chris Cosner;Yuan Lou.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (2007)

140 Citations

On a limiting system in the Lotka--Volterra competition with cross-diffusion

Yuan Lou;Wei Ming Ni;Shoji Yotsutani.
Discrete and Continuous Dynamical Systems (2003)

136 Citations

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