World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
33
Citations
4181
World Ranking
3056
National Ranking
38

Overview

Arjen Doelman is affiliated with Leiden University in the Netherlands and has published extensively in the field of Environmental Science, with a focus on ecosystem dynamics and resilience. Their research covers a range of topics related to ecological and vegetation dynamics, nonlinear dynamics and pattern formation, and mathematical and theoretical models in epidemiology and ecology.

Their recent publications demonstrate a consistent interest in understanding spatial patterns and resilience mechanisms within ecosystems. Among notable papers are:

  • Evasion of tipping in complex systems through spatial pattern formation, 2021, Science
  • The effect of climate change on the resilience of ecosystems with adaptive spatial pattern formation, 2020, Ecology Letters
  • Phase-separation physics underlies new theory for the resilience of patchy ecosystems, 2023, Proceedings of the National Academy of Sciences
  • The existence of localized vegetation patterns in a systematically reduced model for dryland vegetation, 2020, Physica D Nonlinear Phenomena
  • Modeling Honey Bee Colonies in Winter Using a Keller--Segel Model With a Sign-Changing Chemotactic Coefficient, 2020, SIAM Journal on Applied Mathematics

Frequent collaborators in Doelman's work include Paul Carter, Max Rietkerk, Robbin Bastiaansen, Frits Veerman, and Mara Baudena. These coauthors have contributed repeatedly to research projects, reflecting ongoing partnerships in exploring complex ecological systems.

Doelman has published in several scientific venues that often feature mathematical and ecological modeling research. Key publication venues include:

  • arXiv (Cornell University)
  • Physica D Nonlinear Phenomena
  • Nonlinearity
  • SIAM Journal on Applied Dynamical Systems
  • bioRxiv (Cold Spring Harbor Laboratory)

Their main fields of study are concentrated in Environmental Science with subfields spanning Global and Planetary Change, Nature and Landscape Conservation, Computer Networks and Communications, Public Health, Environmental and Occupational Health, and Environmental Engineering.

Specific topics central to Doelman's research profile are:

  • Ecosystem dynamics and resilience
  • Ecology and Vegetation Dynamics Studies
  • Nonlinear Dynamics and Pattern Formation
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Sustainability and Ecological Systems Analysis
  • Earth Systems and Cosmic Evolution
  • Evolutionary Game Theory and Cooperation

Best Publications

  • Pattern formation in the one-dimensional Gray - Scott model

    Arjen Doelman;Tasso J Kaper;Paul A Zegeling

  • Evasion of tipping in complex systems through spatial pattern formation.

    Max Rietkerk;Robbin Bastiaansen;Swarnendu Banerjee;Swarnendu Banerjee;Johan van de Koppel

  • Large stable pulse solutions in reaction-diffusion equations

    Arjen Doelman;Robert A. Gardner;Tasso J. Kaper

  • Stability analysis of singular patterns in the 1D Gray-Scott model: a matched asymptotics approach

    Arjen Doelman;Robert A. Gardner;TAsso J. Kaper

  • Phase separation explains a new class of self-organized spatial patterns in ecological systems

    Quan-Xing Liu;Arjen Doelman;Vivi Rottschäfer;Monique de Jager

  • The Dynamics of Modulated Wave Trains

    Arjen Doelman;Björn Sandstede;Arnd Scheel;Guido Schneider

  • On the nonlinear dynamics of free bars in straight channels

    R. Schielen;A. Doelman;H. E. de Swart

  • Rise and Fall of Periodic Patterns for a Generalized Klausmeier–Gray–Scott Model

    Sjors van der Stelt;Arjen Doelman;Geertje Hek;Jens D. M. Rademacher

  • A stability index analysis of 1-D patterns of the Gray-Scott model

    Arjen Doelman;Robert A. Gardner;Tasso J. Kaper

  • Striped pattern selection by advective reaction-diffusion systems: resilience of banded vegetation on slopes.

    E. Siero;A. Doelman;M. B. Eppinga;Jens D. M. Rademacher

  • Homoclinic Stripe Patterns

    Arjen Doelman;Harmen van der Ploeg

  • Semistrong Pulse Interactions in a Class of Coupled Reaction-Diffusion Equations ∗

    Arjen Doelman;Tasso J. Kaper

  • Periodic and quasi-periodic solutions of degenerate modulation equations

    Arjen Doelman;Wiktor Eckhaus

  • Spatially periodic and aperiodic multi-pulse patterns in the one-dimensional Gierer-Meinhardt equation

    A. Doelman;T.J. Kaper;H. van der Ploeg

  • Pulse Dynamics in a Three-Component System: Existence Analysis

    Arjen Doelman;Arjen Doelman;Peter van Heijster;Tasso J. Kaper

  • Regularity of solutions and the convergence of the galerkin method in the ginzburg-landau equation

    Arjen Doelman;Edriss S. Titi

  • Propagation of hexagonal patterns near onset

    Arjen Doelman;Björn Sandstede;Arnd Scheel;Guido Schneider

  • Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model II: Geometric Theory, Bifurcations, and Splitting Dynamics

    Arjen Doelman;Wiktor Eckhaus;Tasso J. Kaper

  • Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model I: Asymptotic Construction and Stability

    Arjen Doelman;Tasso J. Kaper;Wiktor Eckhaus

  • Nonlinear asymptotic stability of the semistrong pulse dynamics in a regularized Gierer-Meinhardt model

    Arjen Doelman;Tasso J. Kaper;Keith Promislow

  • Stability of spatially periodic pulse patterns in a class of singularly perturbed reaction-diffusion equations.

    van der H. Ploeg;Arjen Doelman

Frequent Co-Authors

Tasso J. Kaper
Tasso J. Kaper Boston University
Philip Holmes
Philip Holmes Princeton University
Edriss S. Titi
Edriss S. Titi Texas A&M University
Björn Sandstede
Björn Sandstede Brown University
Arnd Scheel
Arnd Scheel University of Minnesota
Guido Schneider
Guido Schneider University of Stuttgart
Lambertus A. Peletier
Lambertus A. Peletier Leiden University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students studying Mathematics in the USA, several related online degrees can complement their skills and open new career opportunities. Many graduates consider furthering their education with an MBA to gain business acumen alongside analytical expertise. The availability of fastest MBA online programs allows for quick upskilling without interrupting a professional career.

Another popular choice is pursuing a masters in marketing, which leverages quantitative and strategic thinking for roles in market analysis and data-driven marketing strategies. These programs often balance affordability with solid job prospects.

For those seeking a focused, accelerated path, one year MBA programs offer an intensive curriculum that can be completed rapidly, making them ideal for math graduates aiming to pivot quickly into management roles.

Additionally, many students benefit from programs that accept transfer credits, easing the transition for those with prior coursework. Exploring options for transfer credits for online MBA programs can help save time and tuition costs while keeping degree pathways flexible.

Best Scientists Citing Arjen Doelman

Trending Scientists

Recently Published Articles