Concepedia

Nonlinear Incidence Functions

Nonlinear Incidence Functions is a mathematical model in population compartmental analysis that describes the rate of new infections in an epidemiological system as a nonlinear function of the number of susceptible and infected individuals, thereby capturing saturation effects, behavioral changes, or heterogeneous mixing patterns not accounted for by linear incidence assumptions.

140

Publications

8.2K

Citations

292

Authors

163

Institutions

Publications per year

2017–2026

59

Parents

Publications

140

Dynamical behavior of epidemiological models with nonlinear incidence rates

Weimin Liu, Herbert W. Hethcote, Simon A. Levin · Journal of Mathematical Biology · 1987 · 816 citations

, , +16

Some epidemiological models with nonlinear incidence

H. W. Hethcote, P. van den Driessche · Journal of Mathematical Biology · 1991 · 400 citations

, , +12

Global Properties of Infectious Disease Models with Nonlinear Incidence

Andrei Korobeinikov · Bulletin of Mathematical Biology · 2007 · 330 citations · Full text

, , +15

Media/Psychological Impact on Multiple Outbreaks of Emerging Infectious Diseases

Rongsong Liu, Huaiping Zhu · Computational and Mathematical Methods in Medicine · 2007 · 306 citations · Full text

, , +17

A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence

Philip K. Maini, Andrei Korobeinikov · Mathematical Biosciences & Engineering · 2004 · 273 citations

, , +15

1–5 of 140

Authors

292

  1. SD
    Salih Djilali

    Hassiba Benbouali University of Chlef, Algeria

    6 publications · 188 citations

    6

    h-index

  2. ZT
    Zhidong Teng

    Xinjiang University, China

    6 publications · 157 citations

    6

    h-index

  3. SB
    Soufiane Bentout

    Université de ain Témouchent, Algeria

    5 publications · 215 citations

    5

    h-index

  4. AK
    Abhishek Kumar

    Delhi Technological University, India

    4 publications · 101 citations

    4

    h-index

  5. AK
    Andrei Korobeinikov

    Centre de Recerca Matemàtica, Spain

    4 publications · 714 citations

    4

    h-index

1–5 of 292

Institutions

163

  1. Xinjiang University

    Ürümqi, China

    11 h-index

    28 publications

    662 citations

  2. Wilfrid Laurier University

    Waterloo, Canada

    7 h-index

    9 publications

    493 citations

  3. University of Abou Bekr Belkaïd

    Tlemcen, Algeria

    7 h-index

    16 publications

    683 citations

  4. Xinyang Normal University

    Xinyang, China

    7 h-index

    12 publications

    395 citations

  5. King Abdulaziz University

    Jeddah, Saudi Arabia

    5 h-index

    11 publications

    435 citations

  6. China University of Petroleum, East China

    Qingdao, China

    5 h-index

    8 publications

    301 citations

  7. Xinjiang Medical University

    Ürümqi, China

    5 h-index

    6 publications

    121 citations

  8. Delhi Technological University

    New Delhi, India

    5 h-index

    10 publications

    270 citations

1–8 of 163

Venues

  1. Applied Mathematics and Computation

    13 publications · 624 citations

    13

    h-index

  2. Chaos Solitons & Fractals

    9 publications · 282 citations

    9

    h-index

  3. Nonlinear Analysis Real World Applications

    7 publications · 560 citations

    7

    h-index

  4. Mathematical Methods in the Applied Sciences

    6 publications · 94 citations

    6

    h-index

  5. 6

    h-index

1–5