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Theodore Kolokolnikov

Theodore Kolokolnikov

D-Index & Metrics

Mathematics

D-Index
31
Citations
3173
World Ranking
3388
National Ranking
139

Overview

Theodore Kolokolnikov is affiliated with Dalhousie University in Canada and contributes to multiple research domains, primarily within physics, mathematics, and computer science. Their work encompasses significant contributions to the fields of theoretical epidemiology, nonlinear dynamics, and computational modeling. Their research portfolio illustrates a focus on mathematical modeling related to epidemiology and ecology, nonlinear pattern formation, stochastic dynamics, and bifurcation theory.

Their research topics include:

  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Nonlinear Dynamics and Pattern Formation
  • Stochastic dynamics and bifurcation
  • COVID-19 epidemiological studies
  • Graph theory and applications
  • Ecosystem dynamics and resilience
  • Theoretical and Computational Physics

Kolokolnikov frequently publishes in several scientific venues, reflecting an interdisciplinary approach. These venues include:

  • arXiv (Cornell University)
  • IMA Journal of Applied Mathematics
  • European Journal of Applied Mathematics
  • Discrete and Continuous Dynamical Systems - B
  • Physica D Nonlinear Phenomena

Their recent papers demonstrate a sustained interest in applied mathematical models related to infectious diseases and nonlinear systems. Notable recent publications are:

  • "Law of mass action and saturation in SIR model with application to Coronavirus modelling," 2020, Infectious Disease Modelling
  • "Localized outbreaks in an S-I-R model with diffusion," 2020, Journal of Mathematical Biology
  • "Stable asymmetric spike equilibria for the Gierer-Meinhardt model with a precursor field," 2020, IMA Journal of Applied Mathematics
  • "Spikes and localised patterns for a novel Schnakenberg model in the semi-strong interaction regime," 2021, European Journal of Applied Mathematics
  • "Competition instabilities of spike patterns for the 1D Gierer-Meinhardt and Schnakenberg models are subcritical," 2021, Nonlinearity

Collaboration forms an important part of their research activities, with frequent coauthors including:

  • David Iron
  • Chunyi Gai
  • P. G. Kevrekidis
  • Michael J. Ward
  • Frédéric Paquin-Lefebvre

Kolokolnikov's research spans various subfields, including computer networks and communications, statistical and nonlinear physics, public health and environmental health, modeling and simulation, and condensed matter physics. This multidisciplinary engagement indicates a broad methodological reach aimed at advancing understanding of complex systems across both physical and biological sciences.

Best Publications

  • Swarm dynamics and equilibria for a nonlocal aggregation model

    R C Fetecau;Y Huang;T Kolokolnikov

  • An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part I: Two-Dimensional Domains

    S. Pillay;Michael Jeffrey Ward;Anthony Peirce;Theodore Kolokolnikov

  • A minimal model of predator–swarm interactions

    Yuxin Chen;Theodore Kolokolnikov

  • Optimizing the fundamental Neumann eigenvalue for the Laplacian in a domain with small traps

    T. Kolokolnikov;M. S. Titcombe;M. J. Ward

  • Stability of ring patterns arising from two-dimensional particle interactions.

    Theodore Kolokolnikov;Hui Sun;David Uminsky;Andrea L. Bertozzi

  • The existence and stability of spike equilibria in the one-dimensional Gray-Scott model: the pulse-splitting regime

    Theodore Kolokolnikov;Michael J. Ward;Juncheng Wei

  • PREDICTING PATTERN FORMATION IN PARTICLE INTERACTIONS

    James H. Von Brecht;David Uminsky;Theodore Kolokolnikov

  • Ring patterns and their bifurcations in a nonlocal model of biological swarms

    Andrea L Bertozzi;T Kolokolnikov;Hui Sun;David Uminsky

  • Mesa-type patterns in the one-dimensional Brusselator and their stability

    Théodore Kolokolnikov;Thomas Erneux;J. Wei

  • Emergent behaviour in multi-particle systems with non-local interactions

    Theodore Kolokolnikov;José A. Carrillo;Andrea Bertozzi;Razvan Fetecau

  • Spot Self-Replication and Dynamics for the Schnakenburg Model in a Two-Dimensional Domain

    Theodore Kolokolnikov;Michael Jeffrey Ward;Juncheng Wei

  • The Existence and Stability of Spike Equilibria in the One‐Dimensional Gray–Scott Model: The Low Feed‐Rate Regime

    Theodore Kolokolnikov;Michael J. Ward;Juncheng Wei

  • Crime Modeling with Lévy Flights

    Sorathan Chaturapruek;Jonah Breslau;Daniel Yazdi;Theodore Kolokolnikov

  • The stability of a stripe for the Gierer-Meinhardt model and the effect of saturation

    Theodore Kolokolnikov;Wentao Sun;Michael Jeffrey Ward;Juncheng Wei

  • Introduction: dissipative localized structures in extended systems.

    Mustapha Tlidi;Majid Taki;Theodore Kolokolnikov

  • The Stability of Steady-State Hot-Spot Patterns for a Reaction-Diffusion Model of Urban Crime

    Theodore Kolokolnikov;Michael J. Ward;Juncheng Wei

  • Ring states in swarmalator systems

    Kevin P. O'Keeffe;Joep H. M. Evers;Theodore Kolokolnikov

  • Using Maple and the Web to grade mathematics tests

    S. Klai;T. Kolokolnikov;N. van den Bergh

  • Narrow escape problem with a mixed trap and the effect of orientation.

    A. E. Lindsay;T. Kolokolnikov;J. C. Tzou

  • Phytoplankton depth profiles and their transitions near the critical sinking velocity.

    Theodore Kolokolnikov;Chunhua Ou;Yuan Yuan

  • Zigzag and Breakup Instabilities of Stripes and Rings in the Two-Dimensional Gray–Scott Model

    T. Kolokolnikov;M. J. Ward;J. Wei

Frequent Co-Authors

Michael J. Ward
Michael J. Ward University of British Columbia
Juncheng Wei
Juncheng Wei Chinese University of Hong Kong
Panayotis G. Kevrekidis
Panayotis G. Kevrekidis University of Massachusetts Amherst
Ricardo Carretero-González
Ricardo Carretero-González San Diego State University
Andrea L. Bertozzi
Andrea L. Bertozzi University of California, Los Angeles
Anthony Peirce
Anthony Peirce University of British Columbia
Alan R Champneys
Alan R Champneys University of Bristol
José A. Carrillo
José A. Carrillo University of Oxford

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