Concepedia

Delay Differential Equation Models

Delay Differential Equation Models is a class of differential equation models in which the derivative of the unknown function at any time depends not only on its current state but also on its past states, thereby incorporating time delays to account for inherent lags in system dynamics.

830

Publications

36K

Citations

1.5K

Authors

780

Institutions

Publications per year

2017–2026

201

Variants

Dde ModelDde ModelsDelay Differential Equation Model

Parents

Publications

830

Predicting chaotic time series

J. Doyne Farmer, John J. Sidorowich · Physical Review Letters · 1987 · 1.9K citations

, , +17

A delay-differential equation model of HIV infection of CD4+ T-cells

Rebecca V. Culshaw, Shigui Ruan · Mathematical Biosciences · 2000 · 655 citations

, , +16

Integrodifferential Equations and Delay Models in Population Dynamics.

Andris Abakuks, J. M. Cushing · Journal of the Royal Statistical Society Series A (General) · 1978 · 501 citations

, , +16

Mathematical analysis of delay differential equation models of HIV-1 infection

Patrick W. Nelson, Alan S. Perelson · Mathematical Biosciences · 2002 · 472 citations

, , +16

DDE-BIFTOOL v. 2.00: a Matlab package for bifurcation analysis of delay differential equations

Koen Engelborghs, Tatyana Luzyanina, Giovanni Samaey · 2001 · 405 citations

, , +15

1–5 of 830

Authors

1.5K

  1. BK
    Bernd Krauskopf

    University of Bristol, United Kingdom

    10 publications · 543 citations

    10

    h-index

  2. CB
    Christopher Baker

    University of Manchester, United Kingdom

    8 publications · 540 citations

    8

    h-index

  3. SA
    Stephen A. Gourley

    University of Surrey, United Kingdom

    8 publications · 540 citations

    8

    h-index

  4. RD
    Roger D. Nussbaum

    Rutgers, The State University of New Jersey, United States

    8 publications · 595 citations

    8

    h-index

  5. ZS
    Zulqurnain Sabir

    Hazara University, Pakistan

    8 publications · 353 citations

    8

    h-index

1–5 of 1.5K

Institutions

780

  1. Harbin Institute of Technology

    Harbin, China

    13 h-index

    35 publications

    830 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    12 h-index

    27 publications

    831 citations

  3. University of Trieste

    Trieste, Italy

    10 h-index

    11 publications

    476 citations

  4. University of Bristol

    Bristol, United Kingdom

    10 h-index

    30 publications

    2.4K citations

  5. Arizona State University

    Tempe, United States

    10 h-index

    16 publications

    530 citations

  6. Hunan University

    Changsha, China

    10 h-index

    19 publications

    505 citations

  7. Brown University

    Providence, United States

    10 h-index

    13 publications

    892 citations

  8. University of Szeged

    Szeged, Hungary

    9 h-index

    10 publications

    286 citations

1–8 of 780

Venues

  1. 24

    h-index

  2. Applied Mathematics and Computation

    40 publications · 1.1K citations

    21

    h-index

  3. Journal of Differential Equations

    30 publications · 1.5K citations

    20

    h-index

  4. Journal of Computational and Applied Mathematics

    28 publications · 1.4K citations

    18

    h-index

  5. Nonlinear Analysis

    20 publications · 636 citations

    15

    h-index

1–5