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Topic · Public Health, Environmental and Occupational Health

Mathematical and Theoretical Epidemiology and Ecology Models

Mathematical and Theoretical Epidemiology and Ecology Models is a research topic within Public Health, Environmental and Occupational Health. Science Explorer counts 32k research works in it since 1951. 10.0% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on mathematical modeling and analysis of disease transmission, population dynamics, and predator-prey interactions. It covers topics such as epidemic models, global stability, infectious diseases, Allee effects, and the use of stochastic differential equations to study these phenomena.

  • Disease Transmission
  • Population Dynamics
  • Epidemic Models
  • Predator-Prey Interactions
  • Global Stability
  • Mathematical Modeling
  • Stochastic Differential Equations
  • Infectious Diseases
  • Allee Effects
  • Spatial Patterns
Research works
32k
fractional, since 1951
In the world top 10%
3.2k
per year above
Top-10% rate
10.0%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+15%
the tick is no change
Largest producer
China
50% of the 10 largest, 2022-now
Mathematical and Theoretical Epidemiology and Ecology Models

This ranks research output and citation impact. It says nothing about the quality of diagnosis, treatment or care.

Which countries lead Mathematical and Theoretical Epidemiology and Ecology Models research?

By volume, China and India publish the most (2.5k and 734 works in 2022-now).

By volume, 2022-now

  1. 1 China 2.5k works
  2. 2 India 734 works
  3. 3 United States 522 works
  4. 4 Saudi Arabia 237 works
  5. 5 Indonesia 190 works
  6. 6 France 189 works
  7. 7 Russia 172 works
  8. 8 Pakistan 164 works
  9. 9 Türkiye 136 works
  10. 10 Canada 134 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

China: 50.1%India: 14.8%United States: 10.5%Saudi Arabia: 4.8%6 others listed: 19.9%50%largest
China2,484 · 50.1%India734 · 14.8%United States522 · 10.5%Saudi Arabia237 · 4.8%6 others listed985 · 19.9%

Shares of the rows listed above, not of the whole node.

Which institutions lead Mathematical and Theoretical Epidemiology and Ecology Models research?

By volume in 2022-now, Centre National de la Recherche Scientifique publishes the most Mathematical and Theoretical Epidemiology and Ecology Models research, followed by Russian Academy of Sciences and Harbin Institute of Technology.

By volume, 2022-now

  1. 1 Centre National de la Recherche ScientifiqueFrance 82 works
  2. 2 Russian Academy of SciencesRussia 55 works
  3. 3 Harbin Institute of TechnologyChina 46 works
  4. 4 Xinjiang UniversityChina 43 works
  5. 5 Minzu University of ChinaChina 41 works
  6. 6 Shanxi UniversityChina 38 works
  7. 7 Lanzhou UniversityChina 37 works
  8. 8 Northeast Forestry UniversityChina 36 works
  9. 9 King Abdulaziz UniversitySaudi Arabia 33 works
  10. 10 Indian Institute of Engineering Science and Technology, ShibpurIndia 32 works

Who are the leading researchers in Mathematical and Theoretical Epidemiology and Ecology Models?

The most-cited researchers publishing on Mathematical and Theoretical Epidemiology and Ecology Models include Simon Iain Hay, Kai You Wang and Eugene V. Koonin.

  1. 1 Simon Iain Hay United States 452k citations
  2. 2 Kai You Wang China 224k citations
  3. 3 Eugene V. Koonin United States 217k citations
  4. 4 David Tilman United States 209k citations
  5. 5 Harry Eugene Stanley United States 198k citations
  6. 6 PAUL S. F. YIP China 196k citations
  7. 7 André Karch Germany 194k citations
  8. 8 Peter Donnelly United Kingdom 175k citations
  9. 9 H. Vincent Poor United States 165k citations
  10. 10 Stephen R. Carpenter United States 165k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

What are the most cited papers in Mathematical and Theoretical Epidemiology and Ecology Models?

The most cited paper in Mathematical and Theoretical Epidemiology and Ecology Models is "Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission" (Pauline Van den Driessche, James Watmough, 2002), with 10,191 citations. Next come "Coordination of groups of mobile autonomous agents using nearest neighbor rules" (8,471) and "Simple mathematical models with very complicated dynamics" (7,029).

Most cited papers
#PaperReleasedCitations
1 Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission Pauline Van den Driessche, James Watmough · Mathematical Biosciences Nov 2002 10,191
2 Coordination of groups of mobile autonomous agents using nearest neighbor rules Ali Jadbabaie, Jie Lin, A. Stephen Morse · IEEE Transactions on Automatic Control Open access Jun 2003 8,471
3 Simple mathematical models with very complicated dynamics Robert Mccredie May · Nature 10 Jun 1976 7,029
4 The Mathematics of Infectious Diseases Herbert W. Hethcote · SIAM Review 2000 6,988
5 Cuckoo Search via Lévy flights Xin‐She Yang, Suash Deb Conference paper 2009 6,178
All 100 most cited papers, with filters and sorting

Where is Mathematical and Theoretical Epidemiology and Ecology Models research done?

The largest centres of Mathematical and Theoretical Epidemiology and Ecology Models research in 2022-now are Beijing (China), Xi'an (China), Harbin (China) and Shanghai (China). Among places with at least 20 works in it, it is an unusually large share of all research in Howrah.

Largest cities, 2022-now

  1. 1 BeijingChina 242 works
  2. 2 Xi'anChina 154 works
  3. 3 HarbinChina 130 works
  4. 4 ShanghaiChina 129 works
  5. 5 LanzhouChina 114 works
  6. 6 GuangzhouChina 107 works
  7. 7 NanjingChina 101 works
  8. 8 ChongqingChina 76 works
  9. 9 KolkataIndia 74 works
  10. 10 QingdaoChina 73 works

Where it is the local speciality

  1. HowrahIN · 33.7 works31×
← less than its size predicts1×more →

Location quotient: how much more of its research is in Mathematical and Theoretical Epidemiology and Ecology Models than the world average.

See Mathematical and Theoretical Epidemiology and Ecology Models on the map

Where is the best place to study Mathematical and Theoretical Epidemiology and Ecology Models?

Among universities, judged by research, Lebanese American University, Debre Berhan University and Prince Sultan University score highest, combining citation excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%20%40%mean 30.96%fractional works in this field (log) →share of work in the world top 10% →Lebanese American Un…Debre Berhan Univers…Prince Sultan Univer…Near East University
above the meannear itbelow it

One dot per university in the first ten of the table below, at the default weights. The upper left is the interesting corner: small places doing unusually strong work.

Citation excellenceshare of its work in the world top 10%, 2022-now and all time averaged
40%
Specialisationhow much of its work is in this field, counted up to 10× the world share
10%
Sizeits output in this field, on a log scale
30%
Growthoutput growth, counted from -20% to +20%
10%
Internationalshare of its work with a co-author abroad
10%
Each slider sets a weight; the share it gets of the score is beside it.
#UniversityScoreTop 10%SpecialisationWorksGrowth
1Lebanese American UniversityLebanon 76.540.7%22.7×16 -
2Debre Berhan UniversityEthiopia 70.438.1%70.3×16 +499.0%
3Prince Sultan UniversitySaudi Arabia 69.832.0%21.0×14 +177.3%
4Near East UniversityCyprus 67.231.4%19.8×17 +209.3%
5China Medical UniversityTaiwan 65.733.5%14.4×12 +10.6%
6Prince Sattam Bin Abdulaziz UniversitySaudi Arabia 64.921.7%11.2×18 +124.7%
7King Faisal UniversitySaudi Arabia 61.633.1%6.7×10 +720.5%
8Visva-Bharati UniversityIndia 59.731.1%26.9×14 +59.8%
9Presidency UniversityIndia 59.537.2%10.1×8 +152.1%
10Harbin Institute of TechnologyChina 59.110.8%4.5×46 +14.4%

Universities only. The score blends citation excellence (40%), size (30%), specialisation (10%), growth (10%), international reach (10%), 2022-now; growth compares 2018-21 with 2022-25 and counts up to +20%, since a jump from a small base is mostly noise.

Every institution in Mathematical and Theoretical Epidemiology and Ecology Models, country by country

Is Mathematical and Theoretical Epidemiology and Ecology Models research growing?

Output in 2022-2025 was 15% higher than in 2018-2021, peaking in 2022. The fastest-growing topics are Mathematical and Theoretical Epidemiology and Ecology Models.

still counting19801990200020102020
grewheldshrank

The same series as a ribbon: one cell per year, darker for more. The line above answers how much; this answers when.

Its share of all research

Growing output can still be a shrinking share: all of science grows. This is Mathematical and Theoretical Epidemiology and Ecology Models as a percentage of every work published that year, 0.029% in 2024.

still counting0.020%0.040%Mathematical and Theoretical Epidemiology and Ecology Models0.027% in 202519801990200020102020

Fractional works of Mathematical and Theoretical Epidemiology and Ecology Models over all fractional works that year. How the balance of science has shifted.

How much of it reaches the world top 10%

Year by year.

still counting5%10%15%Mathematical and Theoretical Epidemiology and Ecology Models10.1% in 2025200020102020

Of each year's works in it, the share that reached the world's 10% most cited for their field and year. A field is the world for its own topics, so there is no other line to hold it against.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.

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