Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission-Reference-Cited by-同舟云学术

Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission

Published:2002-11 Issue:1-2 Volume:180 Page:29-48
ISSN:0025-5564
Container-title:Mathematical Biosciences
language:en
Short-container-title:Mathematical Biosciences

Author:

van den Driessche P.,Watmough James

Publisher

Elsevier BV

Subject

Applied Mathematics,General Agricultural and Biological Sciences,General Immunology and Microbiology,General Biochemistry, Genetics and Molecular Biology,Modelling and Simulation,General Medicine,Statistics and Probability

Reference22 articles.

1. The mathematics of infectious diseases;Hethcote;SIAM Rev.,2000

2. On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations;Diekmann;J. Math. Biol.,1990

3. Introduction to Applied Nonlinear Dynamical Systems and Chaos;Wiggins,1990

4. Nonnegative Matrices in the Mathematical Sciences;Berman,1970

5. Infectious Diseases of Humans;Anderson,1991

Cited by 6878 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Global dynamics and numerical simulation of a modified epidemiological model for viral marketing on social networks;Mathematics and Computers in Simulation;2025-02

2. Analysis of a competitive respiratory disease system with quarantine: Epidemic thresholds and cross-immunity effects;Applied Mathematics and Computation;2025-01

3. Mathematical modeling of the Coronavirus (Covid-19) transmission dynamics using classical and fractional derivatives;Discrete and Continuous Dynamical Systems - B;2025

4. Multiple transmission routes in nosocomial bacterial infections — A modeling study;Communications in Nonlinear Science and Numerical Simulation;2024-12

5. Pulse vaccination in a SIR model: Global dynamics, bifurcations and seasonality;Communications in Nonlinear Science and Numerical Simulation;2024-12