Results 61 to 70 of about 1,109 (159)
Reactive Social distancing in a SIR model of epidemics such as COVID-19 [PDF]
arXiv, 2020 A model of reactive social distancing in epidemics is proposed, in which the infection rate changes with the number infected. The final-size equation for the total number that the epidemic will infect can be derived analytically, as can the peak infection proportion. This model could assist planners during for example the COVID-19 pandemic.
arxiv
A multi-region variant of the SIR model and its extensions [PDF]
arXiv, 2020 In this note, we describe simple generalizations of the basic SIR model for epidemic, in case of a multi-region scenario, to be used for predicting the COVID-19 epidemic spread in Italy.
arxiv
Computational and Mathematical BiophysicsAs per the World Health Organization’s (WHO’s) suggestions, personal protection via adopting precautionary measures is one of the most effective control aspects to avoid Zika infection in the absence of suitable medical treatment.
Manisha, Nidhi, Kumar Anuj
doaj +1 more source
A stochastic epidemic model of COVID-19 disease [PDF]
arXiv, 2020 To model the evolution of diseases with extended latency periods and the presence of asymptomatic patients like COVID-19, we define a simple discrete time stochastic SIR-type epidemic model. We include both latent periods as well as the presence of quarantine areas, to capture the evolutionary dynamics of such diseases.
arxiv
Dynamical behaviors of a discrete SIS epidemic model with standard incidence and stage structure
, 2013 A discrete SIS epidemic model with stage structure and standard incident rate which is governed by Beverton-Holt type is studied. The sufficient conditions on the permanence and extinction of disease are established.
Z. Teng, L. Nie, Jiabo Xu
semanticscholar +1 more source
SIR epidemics on a scale-free spatial nested modular network with a non-trivial threshold [PDF]
arXiv, 2011 We propose a class of random scale-free spatial networks with nested community structures and analyze Reed-Frost epidemics with community related independent transmissions. We show that the epidemic threshold may be trivial or not depending on the relation among community sizes, distribution of the number of communities and transmission ...
arxiv
Mathematical modelling of COVID-19 dynamics using SVEAIQHR model
Computational and Mathematical BiophysicsIn this study, we formulate an eight-compartment mathematical model with vaccination as one of the compartments to analyze the dynamics of COVID-19 transmission.
Venkatesh Ambalarajan +4 more
doaj +1 more source
Modeling Stochastic Anomalies in an SIS and SIRS System [PDF]
arXiv, 2012 I propose a stochastic SIS and SIRS system to include a Poisson measure term to model anomalies in the dynamics. In particular the positive integrand in the Poisson term is intended to model quarantine. Conditions are given for the stability of the disease free equilibrium for both systems.
arxiv
Effect of awareness and saturated treatment on the transmission of infectious diseases
Computational and Mathematical BiophysicsIn this article, we study the role of awareness and its impact on the control of infectious diseases. We analyze a susceptible-infected-recovered model with a media awareness compartment. We find the effective reproduction number R0{R}_{0}.
Pandey Aditya +3 more
doaj +1 more source
On the error of incidence estimation from prevalence data [PDF]
arXiv, 2014 This paper describes types of errors arising in a recently proposed method of incidence estimation from prevalence data. The errors are illustrated by a simulation study about a hypothetical irreversible disease. In addition, a way of obtaining error bounds in practical applications of the method is proposed.
arxiv