Results 31 to 40 of about 1,052 (135)

Epidemics on random graphs with tunable clustering [PDF]

open access: yes, 2007
In this paper, a branching process approximation for the spread of a Reed-Frost epidemic on a network with tunable clustering is derived. The approximation gives rise to expressions for the epidemic threshold and the probability of a large outbreak in ...
Britton, Tom   +3 more
core   +3 more sources

The multistep Laplace optimized decomposition method for solving fractional-order coronavirus disease model (COVID-19) via the Caputo fractional approach

open access: yesDemonstratio Mathematica, 2022
COVID-19, a novel coronavirus disease, is still causing concern all over the world. Recently, researchers have been concentrating their efforts on understanding the complex dynamics of this widespread illness.
Maayah Banan   +3 more
doaj   +1 more source

A stochastic SICA epidemic model for HIV transmission

open access: yes, 2018
We propose a stochastic SICA epidemic model for HIV transmission, described by stochastic ordinary differential equations, and discuss its perturbation by environmental white noise.
Djordjevic, Jasmina   +2 more
core   +1 more source

Global Stability for an SEIR Epidemiological Model with Varying Infectivity and Infinite Delay [PDF]

open access: yes, 2009
A recent paper (Math. Biosci. and Eng. (2008) 5:389-402) presented an SEIR model using an infinite delay to account for varying infectivity. The analysis in that paper did not resolve the global dynamics for R0 \u3e 1.
McCluskey, C. Connell
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

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

Central limit approximations for Markov population processes with countably many types [PDF]

open access: yes, 2012
When modelling metapopulation dynamics, the influence of a single patch on the metapopulation depends on the number of individuals in the patch. Since there is usually no obvious natural upper limit on the number of individuals in a patch, this leads to ...
Barbour, A. D., Luczak, M. J.
core   +2 more sources

A two-strain ecoepidemic competition model

open access: yes, 2014
In this paper we consider a competition system in which two diseases spread by contact. We characterize the system behavior, establishing that only some configurations are possible.
Cavoretto, Roberto   +3 more
core   +1 more source

Proof of a conjecture of N. Konno for the 1D contact process [PDF]

open access: yes, 2005
Consider the one-dimensional contact process. About ten years ago, N. Konno stated the conjecture that, for all positive integers $n,m$, the upper invariant measure has the following property: Conditioned on the event that $O$ is infected, the events $\{$
Berg, J. van den   +2 more
core   +3 more sources

A primer on stochastic epidemic models: Formulation, numerical simulation, and analysis

open access: yesInfectious Disease Modelling, 2017
Some mathematical methods for formulation and numerical simulation of stochastic epidemic models are presented. Specifically, models are formulated for continuous-time Markov chains and stochastic differential equations. Some well-known examples are used
Linda J.S. Allen
doaj   +1 more source

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