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Mathematics

D-Index
49
Citations
8879
World Ranking
1153
National Ranking
29

Overview

Yihong Du is affiliated with the University of New England in Australia and has a research portfolio focused on mathematical and theoretical epidemiology and ecology models, as well as applied mathematics and public health. Their work spans multiple intersecting fields including mathematics, medicine, genetics, modeling and simulation, and mathematical physics.

Their main topics of research include:

  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Evolution and Genetic Dynamics
  • Nonlinear Differential Equations Analysis
  • Fractional Differential Equations Solutions
  • Advanced Mathematical Modeling in Engineering
  • Differential Equations and Numerical Methods
  • Mathematical Biology Tumor Growth

Yihong Du's publication record features articles in notable venues such as:

  • arXiv (Cornell University)
  • Journal of Differential Equations
  • Discrete and Continuous Dynamical Systems
  • SSRN Electronic Journal
  • Nonlinearity

Recent papers include:

  • The dynamics of a degenerate epidemic model with nonlocal diffusion and free boundaries (2020), Journal of Differential Equations
  • Analysis of a West Nile virus model with nonlocal diffusion and free boundaries (2020), Nonlinearity
  • Two species nonlocal diffusion systems with free boundaries (2021), Discrete and Continuous Dynamical Systems
  • Spreading speed for some cooperative systems with nonlocal diffusion and free boundaries, part 1: Semi-wave and a threshold condition (2021), Journal of Differential Equations
  • The Fisher-KPP equation over simple graphs: varied persistence states in river networks (2020), Journal of Mathematical Biology

Frequent collaborators include:

  • Wenjie Ni
  • Meng Zhao
  • Yongkun Liu
  • Tengfei Long
  • Weili Jiao

The scientist's research intersects core areas of modeling disease dynamics and ecological processes, often applying advanced mathematical techniques to analyze diffusion systems and nonlinear differential equations. Their work contributes to modeling frameworks for epidemics and environmental health dynamics, revealing complex interactions within biological and ecological systems through mathematical and computational approaches.

Best Publications

  • Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary

    Yihong Du;Zhigui Lin

  • Spreading and vanishing in nonlinear diffusion problems with free boundaries

    Yihong Du;Bendong Lou

  • Blow-Up Solutions for a Class of Semilinear Elliptic and Parabolic Equations

    Yihong Du;Qingguang Huang

  • Order Structure and Topological Methods in Nonlinear Partial Differential Equations: Vol. 1: Maximum Principles and Applications

    Yihong Du

  • Spreading–vanishing dichotomy in a diffusive logistic model with a free boundary, II☆

    Yihong Du;Zongming Guo

  • Logistic Type Equations on RN by a Squeezing Method Involving Boundary Blow-Up Solutions

    Yihong Du;Li Ma

  • A diffusive predator–prey model in heterogeneous environment

    Yihong Du;Sze-Bi Hsu

  • Effect of a protection zone in the diffusive Leslie predator-prey model

    Yihong Du;Yihong Du;Rui Peng;Rui Peng;Mingxin Wang

  • The Diffusive Competition Model With A Free Boundary: Invasion Of A Superior Or Inferior Competitor

    Yihong Du;Zhigui Lin

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

    Yihong Du;Yuan Lou;Yuan Lou

  • Convergence and sharp thresholds for propagation in nonlinear diffusion problems

    Yihong Du;Hiroshi Matano

  • A diffusive logistic model with a free boundary in time-periodic environment☆

    Yihong Du;Zongming Guo;Rui Peng;Rui Peng

  • Sharp Estimate of the Spreading Speed Determined by Nonlinear Free Boundary Problems

    Yihong Du;Hiroshi Matsuzawa;Maolin Zhou

  • A diffusive predator–prey model with a protection zone☆

    Yihong Du;Yihong Du;Junping Shi;Junping Shi

  • The Stefan problem for the Fisher–KPP equation

    Yihong Du;Zongming Guo

  • The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries

    Jia-Feng Cao;Yihong Du;Fang Li;Wan-Tong Li

  • Finite Morse index solutions of an elliptic equation with supercritical exponent

    Edward N Dancer;Yihong Du;Zongming Guo

  • Allee effect and bistability in a spatially heterogeneous predator-prey model

    Yihong Du;Junping Shi

  • Fixed points of increasing operators in ordered Banach spaces and applications

    Yihong Du

  • Effects of Certain Degeneracies in the Predator-Prey Model

    Edward Norman Dancer;Yihong Du

  • Competing Species Equations with Diffusion, Large Interactions, and Jumping Nonlinearities

    E.N. Dancer;Y.H. Du

Frequent Co-Authors

E. N. Dancer
E. N. Dancer University of Sydney
Yuan Lou
Yuan Lou Shanghai Jiao Tong University
Wan-Tong Li
Wan-Tong Li Lanzhou University
Sze-Bi Hsu
Sze-Bi Hsu National Tsing Hua University
Mingxin Wang
Mingxin Wang Harbin Institute of Technology
Matthew J. Simpson
Matthew J. Simpson Queensland University of Technology
Junping Shi
Junping Shi William & Mary
Peter Poláčik
Peter Poláčik University of Minnesota
Angela Pistoia
Angela Pistoia Sapienza University of Rome
Lishan Liu
Lishan Liu Curtin University

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