Results 31 to 40 of about 1,101 (159)

Analysis of an age‐dependent SI epidemic model with disease‐induced mortality and proportionate mixing assumption: the case of vertically transmitted diseases

open access: yesJournal of Applied Mathematics, Volume 2004, Issue 3, Page 235-254, 2004., 2004
An SI epidemic model for a vertically as well as horizontally transmitted disease is investigated when the fertility, natural mortality, and disease‐induced mortality rates depend on age and the force of infection corresponds to a special form of intercohort transmission called proportionate mixing.
M. El-Doma
wiley   +1 more source

A General Multipatch Model of Ebola Dynamics

open access: yesNonautonomous Dynamical Systems, 2021
A model for the transmission dynamics of Ebola virus in a multipatch network setting is studied. The model considers the contribution to the dynamics by people who are susceptible, infectious, isolated, deceased but still infectious and not yet buried ...
Rebaza Jorge
doaj   +1 more source

Vaccination in a model of an epidemic

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 6, Page 425-429, 2000., 2000
Vaccination has been included in a model which describes an epidemic. A traveling wave solution together with an equilibrium and stability analysis have been done to the model.
M. S. Abual-Rub
wiley   +1 more source

Existence of periodic solutions for the periodically forced SIR model [PDF]

open access: yes, 2013
We prove that the seasonally-forced SIR model with a T-periodic forcing has a periodic solution with period T whenever the basic reproductive number R0>1. The proof uses the Leray-Schauder degree theory.
Katriel, Guy
core   +2 more sources

Modeling Tuberculosis Among Healthcare Workers

open access: yesMoroccan Journal of Pure and Applied Analysis, 2019
A mathematical model for transmission dynamics of tuberculosis among healthcare workers is formulated. Tuberculosis is an airborne disease caused by Mycobacterium tuberculosis bacteria that affect the lungs of a host.
Faniran T.S., Falade A.O., Alakija T.O.
doaj   +1 more source

Bayesian Inference for SIR Epidemic Model with dependent parameters

open access: yesMoroccan Journal of Pure and Applied Analysis, 2022
This paper is concerned with the Bayesian inference for the dependent parameters of stochastic SIR epidemic model in a closed population. The estimation framework involves the introduction of m − 1 latent data between every pair of observations. Kibble’s
Qaffou Abdelaziz   +2 more
doaj   +1 more source

Total variation approximation for quasi-equilibrium distributions [PDF]

open access: yes, 2010
Quasi-stationary distributions, as discussed by Darroch & Seneta (1965), have been used in biology to describe the steady state behaviour of population models which, while eventually certain to become extinct, nevertheless maintain an apparent stochastic
A.D. Barbour   +25 more
core   +3 more sources

Are the upper bounds for new SARS-CoV-2 infections in Germany useful?

open access: yesComputational and Mathematical Biophysics, 2021
At the end of 2019, an outbreak of a new coronavirus, called SARS–CoV–2, was reported in China and later in other parts of the world. First infection reported in Germany by the end of January 2020 and on March 16th, 2020 the federal government announced ...
Bock Wolfgang   +3 more
doaj   +1 more source

SEIR epidemiological model with varying infectivity and infinite delay [PDF]

open access: yes, 2008
A new SEIR model with distributed infinite delay is derived when the infectivity depends on the age of infection. The basic reproduction number R-0, which is a threshold quantity for the stability of equilibria, is calculated.
Röst, Gergely
core   +1 more source

Effect of Vaccination to COVID-19 Disease Progression and Herd Immunity

open access: yesComputational and Mathematical Biophysics, 2021
A mathematical model of COVID-19 with a delay-term for the vaccinated compartment is developed. It has parameters accounting for vaccine-induced immunity delay, vaccine effectiveness, vaccination rate, and vaccine-induced immunity duration.
Caga-anan Randy L.   +5 more
doaj   +1 more source

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