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Mathematics

D-Index
45
Citations
12488
World Ranking
1428
National Ranking
633

Overview

Horst R. Thieme is affiliated with Arizona State University in the United States and specializes in research primarily within the fields of mathematics and medicine. The scope of their work includes significant contributions to mathematical physics, public health, environmental and occupational health, as well as modeling and simulation. Their research addresses various subtopics such as mathematical and theoretical epidemiology and ecology models, evolution and genetic dynamics, COVID-19 epidemiological studies, stochastic processes and statistical mechanics, ecosystem dynamics and resilience, spectral theory in mathematical physics, and matrix theory and algorithms.

Thieme has published extensively in journals and venues known for mathematical biology and applied mathematical modeling. Frequent publication venues include:

  • arXiv (Cornell University)
  • Journal of Mathematical Biology
  • Discrete and Continuous Dynamical Systems - B
  • Journal of Biological Systems
  • The Journal of Difference Equations and Applications

Their recent papers cover a range of topics related to population dynamics and epidemiological systems:

  • Discrete-time population dynamics of spatially distributed semelparous two-sex populations (2021, Journal of Mathematical Biology)
  • Discrete-time dynamics of structured populations via Feller kernels (2021, Discrete and Continuous Dynamical Systems - B)
  • CAN INFECTIOUS DISEASES THAT DO NOT CONFER IMMUNITY ERADICATE HOST SPECIES? (2023, Journal of Biological Systems)
  • Predator - Prey/Host - Parasite: A fragile ecoepidemic system under homogeneous infection incidence (2020, Discrete and Continuous Dynamical Systems - B)
  • Continuity of the spectral radius, applied to structured semelparous two-sex population models (2023, The Journal of Difference Equations and Applications)

Thieme has collaborated frequently with a select group of co-authors, including Alex Farrell, Joan Ponce, Odo Diekmann, Hisashi Inaba, and Brian H. Carlson.

Beyond journal articles, Thieme has also contributed a book titled Discrete-Time Dynamics of Structured Populations and Homogeneous Order-Preserving Operators, published in 2024 by Mathematical Surveys and Monographs.

Best Publications

  • Mathematics in Population Biology

    Horst R. Thieme

  • Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations

    Horst R. Thieme

  • Persistence under relaxed point-dissipativity (with application to an endemic model)

    Horst R. Thieme

  • Dynamical Systems and Population Persistence

    Hal L. Smith;Horst R. Thieme

  • Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity

    Horst R. Thieme

  • A competitive exclusion principle for pathogen virulence.

    H. J. Bremermann;Horst Thieme

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

    Horst R. Thieme;Xiao Qiang Zhao

  • How may infection-age-dependent infectivity affect the dynamics of HIV/AIDS?

    Horst R. Thieme;Carlos Castillo-Chavez

  • Semiflows generated by lipschitz perturbations of non-densely defined operators

    Horst R. Thieme

  • A model for the spatial spread of an epidemic

    H. R. Thieme

  • On the formulation and analysis of general deterministic structured population models

    O. Diekmann;M. Gyllenberg;H. Huang;M. Kirkilionis

  • Asymptotically Autonomous Epidemic Models

    Carlos Castillo-Chavez;Horst Thieme

  • Asymptotically autonomous semiflows: chain recurrence and Lyapunov functions

    Konstantin Mischaikow;Hal Smith;Horst R. Thieme

  • Uniform persistence and permanence for non-autonomous semiflows in population biology.

    Horst R. Thieme

  • Stability of the endemic equilibrium in epidemic models with subpopulations

    Herbert W. Hethcote;Horst R. Thieme

  • On the stability of the cell size distribution

    O. Diekmann;H. J. A. M. Heijmans;H. R. Thieme

  • On the Formulation and Analysis of General Deterministic Structured Population Models. II. Nonlinear Theory

    Odo Diekman;Mats Gyllenberg;Haiyang Huang;Markus Kirkilionis

  • Asymptotically Autonomous Differential Equations in the Plane

    Horst R. Thieme

  • Recurrent outbreaks of childhood diseases revisited: The impact of isolation

    Zhilan Feng;Horst R. Thieme

  • Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations

    Horst R. Thieme

Frequent Co-Authors

Hal L. Smith
Hal L. Smith Arizona State University
Odo Diekmann
Odo Diekmann Utrecht University
Mats Gyllenberg
Mats Gyllenberg University of Helsinki
Zdzislaw Jackiewicz
Zdzislaw Jackiewicz Arizona State University
P. van den Driessche
P. van den Driessche University of Victoria
Suzanne Lenhart
Suzanne Lenhart University of Tennessee at Knoxville
Kenneth L. Cooke
Kenneth L. Cooke Pomona College
Xiao-Qiang Zhao
Xiao-Qiang Zhao Memorial University of Newfoundland
Konstantin Mischaikow
Konstantin Mischaikow Rutgers, The State University of New Jersey
Klaus Dietz
Klaus Dietz University of Tübingen

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