journal article Jun 01, 1990

On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations

O. Diekmann J.A.P. Heesterbeek J.A.J. Metz

Journal of Mathematical Biology Vol. 28 No. 4 · Springer Science and Business Media LLC

View at Publisher Save 10.1007/bf00178324

Topics

No keywords indexed for this article. Browse by subject →

Cited By

3,908

Mathematical modeling of corruption dynamics: Exploring the role of rehabilitation of corrupt individuals

Neema R. Assenga, Nkuba Nyerere · 2026

Scientific African

Fractional optimal control of avian–human influenza with environmental and behavioral interactions

Asiyeh Ebrahimzadeh · 2026

International Journal of Dynamics a...

Global Dynamics for a Distributed Delay SVEIR Model for Measles Transmission with Imperfect Vaccination: A Threshold Analysis

Mohammed H. Alharbi, Ali Rashash Alzahrani · 2026

Mathematics

Impacts of hunting cooperation among predators on predator-prey dynamics

Jianquan Li, Yuming Chen · 2026

Journal of Theoretical Biology

A personal overview of epidemic models for mosquito-borne infections

Andrea Pugliese, Simone De Reggi · 2026

Mathematical Biosciences and Engine...

Impact of heterogeneous vaccination and contact on influenza dynamics in age structure population

Lusha Shi, Liping Wang · 2026

Nonlinear Dynamics

Dual memory effects and epidemic thresholds in a fractional-order SEIR model

Zhaohua Wu, Yongli Cai · 2026

Applied Mathematics and Computation

Modeling tobacco consumption dynamics in India: A fractional order approach incorporating snuffing class

Avani Solanki, Kunjan Shah · 2026

Nonlinear Science

A mathematical analysis of HPV transmission dynamics and cervical cancer progression: The role of screening, prophylactic and therapeutic vaccination strategies

L.J. Mbigili, N. Nyerere · 2025

Computer Methods and Programs in Bi...

Modelling Cholera Transmission Dynamics in a Gender-Hygiene Driven Incidence Rate

Sule, Innocent Y., Oduwole, H. K. · 2025

International Journal of Innovative...

Modeling and optimal control analysis of age-structured Brucellosis under environmental transmission with vaccination and culling

Qun Dai, Liming Guo · 2025

Electronic Research Archive

Extinction and persistence of a stochastic HBV model

Xiangkui Zhao, Ting Li · 2025

Chaos, Solitons & Fractals

Evaluating a novel reproduction number estimation method: a comparative analysis

Katsuro Anazawa · 2025

Scientific Reports

GLOBAL SENSITIVITY ANALYSIS AND OPTIMAL CONTROL OF TYPHOID FEVER TRANSMISSION DYNAMICS

Nkuba Nyerere, Saul C. Mpeshe · 2024

Mathematical Modelling and Analysis

An integral renewal equation approach to behavioural epidemic models with information index

Bruno Buonomo, Eleonora Messina · 2024

Journal of Mathematical Biology

Mathematical Assessment of the Role of Human Behavior Changes on SARS-CoV-2 Transmission Dynamics in the United States

Binod Pant, Salman Safdar · 2024

Bulletin of Mathematical Biology

A hybrid Lagrangian–Eulerian model for vector-borne diseases

Daozhou Gao · 2024

Journal of Mathematical Biology

Mathematical modeling of infectious diseases and the impact of vaccination strategies

Diana Bolatova, Shirali Kadyrov · 2024

Mathematical Biosciences and Engine...

Real-time estimation of the effective reproduction number of COVID-19 from behavioral data

Eszter Bokányi, Zsolt Vizi · 2023

Scientific Reports

A West Nile virus nonlocal model with free boundaries and seasonal succession

Liqiong Pu, Zhigui Lin · 2023

Journal of Mathematical Biology

Metrics

3,908

Citations

0

References

Details

Published: Jun 01, 1990
Vol/Issue: 28(4)
License: View

Authors

Department of Mathematics, Utrecht University, Budapestlaan 6, 3584 CD, Utrecht, The Netherlands

J.A.P. Heesterbeek

Cite This Article

O. Diekmann, J.A.P. Heesterbeek, J.A.J. Metz (1990). On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations. Journal of Mathematical Biology, 28(4). https://doi.org/10.1007/bf00178324

Related

You May Also Like

Simplified neuron model as a principal component analyzer

Erkki Oja · 1982

1,821 citations

Storing covariance with nonlinearly interacting neurons

T. J. Sejnowski · 1977

395 citations

Dynamic models of infectious diseases as regulators of population sizes

Jaime Mena-Lorcat, Herbert W. Hethcote · 1992

308 citations

A reaction–diffusion malaria model with incubation period in the vector population

Yijun Lou, Xiao-Qiang Zhao · 2010

303 citations

Analysis of an SEIRS epidemic model with two delays

K. L. Cooke, P. van den Driessche · 1996

284 citations