Related Experiment Video
Updated: Jan 20, 2026

Author Spotlight: Advancing Organoid Generation for Drug Development Using iPSCs
Published on: March 15, 2024
The basic reproduction number obtained from Jacobian and next generation matrices - A case study of dengue
1UNICAMP - IMECC - DMA, Praça Sérgio Buarque de Holanda, 651, CEP: 13083-859 Campinas, SP, Brazil.
Abstract:
The basic reproduction number is a key parameter in mathematical modelling of transmissible diseases. From the stability analysis of the disease free equilibrium, by applying Routh-Hurwitz criteria, a threshold is obtained, which is called the basic reproduction number. However, the application of spectral radius theory on the next generation matrix provides a different expression for the basic reproduction number, that is, the square root of the previously found formula. If the spectral radius of the next generation matrix is defined as the geometric mean of partial reproduction numbers, however the product of these partial numbers is the basic reproduction number, then both methods provide the same expression. In order to show this statement, dengue transmission modelling incorporating or not the transovarian transmission is considered as a case study. Also tuberculosis transmission and sexually transmitted infection modellings are taken as further examples.
Related Concept Videos
06:38Comparative Study of Basement-Membrane Matrices for Human Stem Cell Maintenance and Intestinal Organoid Generation
Invasion Assay Using 3D Matrices
Yeast Reproduction
04:23A Murine Model of Dengue Virus-induced Acute Viral Encephalitis-like Disease
07:25Basic Methods for the Study of Reproductive Ecology of Fish in Aquaria
15:03Building a Better Mosquito: Identifying the Genes Enabling Malaria and Dengue Fever Resistance in A. gambiae and A. aegypti Mosquitoes

