An Edge-Based Model of SEIR Epidemics on Static Random Networks.

Bulletin of Mathematical Biology
Cherrylyn P AlotaAurelio A de Los Reyes V

Abstract

Studies have been done using networks to represent the spread of infectious diseases in populations. For diseases with exposed individuals corresponding to a latent period, an SEIR model is formulated using an edge-based approach described by a probability generating function. The basic reproduction number is computed using the next generation matrix method and the final size of the epidemic is derived analytically. The SEIR model in this study is used to investigate the stochasticity of the SEIR dynamics. The stochastic simulations are performed applying continuous-time Gillespie's algorithm given Poisson and power law with exponential cut-off degree distributions. The resulting predictions of the SEIR model given the initial conditions match well with the stochastic simulations, validating the accuracy of the SEIR model. We varied the contribution of the disease parameters and the average degree of the network in order to investigate their effects on the spread of disease. We verified that the infection and the recovery rates show significant effects on the dynamics of the disease transmission. While the exposed rate delays the spread of the disease, increasing it towards infinity would lead to almost the same dynamics as tha...Continue Reading

References

Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M E J Newman
Sep 25, 2002·Proceedings of the National Academy of Sciences of the United States of America·Ken T D Eames, Matt J Keeling
Jul 20, 2006·Journal of the Royal Society, Interface·Matt J Keeling, Ken T D Eames
Aug 2, 2007·Journal of Mathematical Biology·Erik Volz
Sep 20, 2007·Proceedings. Biological Sciences·Erik Volz, Lauren Ancel Meyers
Feb 19, 2008·Mathematical Biosciences·Frank Ball, Peter Neal
Oct 2, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Joel C Miller
Nov 7, 2009·Journal of the Royal Society, Interface·O DiekmannM G Roberts
Mar 24, 2010·Journal of Mathematical Biology·Joel C Miller
Oct 7, 2011·Journal of the Royal Society, Interface·Joel C MillerErik M Volz
Oct 1, 2008·Journal of Biological Dynamics·Stéphan ClémençonHector de Arazoza
Jan 13, 2015·Mathematical Modelling of Natural Phenomena·P RattanaI Z Kiss
Sep 4, 2018·Journal of Biological Dynamics·Karly A JacobsenGrzegorz A Rempała

❮ Previous
Next ❯

Citations

Apr 15, 2021·Journal of Medical Virology·Huaxiong ShengBo Peng

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.