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 47 Citations 9,882 161 World Ranking 922 National Ranking 33

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Ecology
  • Differential equation

His primary areas of investigation include Mathematical analysis, Traveling wave, Monotone polygon, Epidemic model and Basic Reproduction Ratio. His work in the fields of Mathematical analysis, such as Reaction–diffusion system, overlaps with other areas such as Multivibrator. Xiao-Qiang Zhao has included themes like Integral equation, Uniqueness and Differential equation in his Traveling wave study.

In his research, Compact space is intimately related to Bistability, which falls under the overarching field of Monotone polygon. His work on Basic reproduction number expands to the thematically related Epidemic model. His Control theory study incorporates themes from Zero and Applied mathematics.

His most cited work include:

  • Dynamical systems in population biology (601 citations)
  • Asymptotic speeds of spread and traveling waves for monotone semiflows with applications (423 citations)
  • Threshold Dynamics for Compartmental Epidemic Models in Periodic Environments (351 citations)

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

Xiao-Qiang Zhao focuses on Mathematical analysis, Traveling wave, Monotone polygon, Applied mathematics and Reaction–diffusion system. His Mathematical analysis research includes themes of Stability and Bistability. His study in Traveling wave is interdisciplinary in nature, drawing from both Determinacy, Bounded function and Wave speed.

He combines subjects such as Dynamical systems theory, Partial differential equation and Dynamics with his study of Monotone polygon. Applied mathematics is integrated with Basic Reproduction Ratio, Population model, Basic reproduction number and Epidemic model in his study. His Reaction–diffusion system research is multidisciplinary, incorporating perspectives in Constant, Spatial heterogeneity, Meteorology and Algae.

He most often published in these fields:

  • Mathematical analysis (43.43%)
  • Traveling wave (26.29%)
  • Monotone polygon (25.71%)

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

  • Basic Reproduction Ratio (18.29%)
  • Applied mathematics (20.00%)
  • Seasonality (7.43%)

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

Basic Reproduction Ratio, Applied mathematics, Seasonality, Dynamics and Mathematical analysis are his primary areas of study. In the subject of general Applied mathematics, his work in Competitive Lotka–Volterra equations is often linked to Population model, Delayed reaction and Work, thereby combining diverse domains of study. The study incorporates disciplines such as Reaction–diffusion system, Steady state, Statistical physics, Non monotone and Time periodic in addition to Dynamics.

His research ties Monotone polygon and Mathematical analysis together. Xiao-Qiang Zhao interconnects Partial differential equation, Uniqueness, Bistability and Ordinary differential equation in the investigation of issues within Monotone polygon. His Traveling wave research incorporates themes from Differential, Invertebrate and Interval.

Between 2018 and 2021, his most popular works were:

  • Basic Reproduction Ratios for Periodic Abstract Functional Differential Equations (with Application to a Spatial Model for Lyme Disease) (44 citations)
  • Global dynamics of a Lotka–Volterra competition–diffusion–advection system in heterogeneous environments (40 citations)
  • Propagation dynamics of a nonlocal dispersal Fisher-KPP equation in a time-periodic shifting habitat (15 citations)

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

  • Mathematical analysis
  • Ecology
  • Differential equation

Xiao-Qiang Zhao mainly investigates Applied mathematics, Seasonality, Basic Reproduction Ratio, Extrinsic incubation period and Time periodic. Xiao-Qiang Zhao integrates several fields in his works, including Applied mathematics, Disease control, Period, Variable, Function and Advection. There are a combination of areas like Basic reproduction number, Time delays, Statistics, Chikungunya and Model system integrated together with his Extrinsic incubation period study.

Xiao-Qiang Zhao incorporates a variety of subjects into his writings, including Basic reproduction number, Constant, Steady state, Malaria transmission and Reaction–diffusion system. His work deals with themes such as Differential, Dynamics, Traveling wave, Exponential stability and Interval, which intersect with Time periodic. His studies in Dynamics integrate themes in fields like Non monotone, Monotone polygon and Monotonic function.

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

Dynamical systems in population biology

Xiao-Qiang Zhao.
(2003)

1098 Citations

Asymptotic speeds of spread and traveling waves for monotone semiflows with applications

Xing Liang;Xiao-Qiang Zhao.
Communications on Pure and Applied Mathematics (2007)

623 Citations

Threshold Dynamics for Compartmental Epidemic Models in Periodic Environments

Wendi Wang;Xiao-Qiang Zhao.
Journal of Dynamics and Differential Equations (2008)

592 Citations

GLOBAL ATTRACTORS AND STEADY STATES FOR UNIFORMLY PERSISTENT DYNAMICAL SYSTEMS

Pierre Magal;Xiao-Qiang Zhao.
Siam Journal on Mathematical Analysis (2005)

388 Citations

Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models

Horst R. Thieme;Xiao Qiang Zhao.
Journal of Differential Equations (2003)

365 Citations

A periodic epidemic model in a patchy environment

Fang Zhang;Xiao-Qiang Zhao.
Journal of Mathematical Analysis and Applications (2007)

269 Citations

Global asymptotic stability of traveling waves in delayed reaction-diffusion equations

Hal L. Smith;Xiao-Qiang Zhao.
Siam Journal on Mathematical Analysis (2000)

252 Citations

Robust persistence for semidynamical systems

Hal L. Smith;Xiao-Qiang Zhao.
Nonlinear Analysis-theory Methods & Applications (2001)

245 Citations

Chain Transitivity, Attractivity, and Strong Repellors for Semidynamical Systems

Morris W. Hirsch;Hal L. Smith;Xiao-Qiang Zhao.
Journal of Dynamics and Differential Equations (2001)

244 Citations

Spreading speeds and traveling waves for abstract monostable evolution systems

Xing Liang;Xiao-Qiang Zhao.
Journal of Functional Analysis (2010)

235 Citations

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