Oscillations in epidemic models with spread of awareness
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Biology"
DOI: 10.1007/s00285-017-1166-x
Abstract: We study ODE models of epidemic spreading with a preventive behavioral response that is triggered by awareness of the infection. Previous studies of such models have mostly focused on the impact of the response on… read more here.
Keywords: response; oscillations epidemic; models spread; biology ... See more keywords
Importance sampling for partially observed temporal epidemic models
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DOI: 10.1007/s11222-018-9827-1
Abstract: We present an importance sampling algorithm that can produce realisations of Markovian epidemic models that exactly match observations, taken to be the number of a single event type over a period of time. The importance… read more here.
Keywords: importance; time; partially observed; importance sampling ... See more keywords
Optimal parameterization of COVID-19 epidemic models
Sign Up to like & getrecommendations! Published in 2020 at "Atmospheric and Oceanic Science Letters"
DOI: 10.1016/j.aosl.2020.100024
Abstract: At the time of writing, coronavirus disease 2019 (COVID-19) is seriously threatening human lives and health throughout the world. Many epidemic models have been developed to provide references for decision-making by governments and the World… read more here.
Keywords: levenberg marquardt; optimal parameterization; covid; model ... See more keywords
Global convergence analysis of a class of epidemic models
Sign Up to like & getrecommendations! Published in 2017 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2017.03.013
Abstract: Abstract This paper addresses the global convergence of the epidemic models whose infected subsystems are monotone in the sense of Hirsch (1984). By invoking results from monotone system theory and nonlinear control theory, a simple… read more here.
Keywords: analysis class; class epidemic; convergence analysis; epidemic models ... See more keywords
Time-optimal control strategies in SIR epidemic models
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Biosciences"
DOI: 10.1016/j.mbs.2017.07.011
Abstract: Abstract We investigate the time-optimal control problem in SIR (Susceptible-Infected-Recovered) epidemic models, focusing on different control policies: vaccination, isolation, culling, and reduction of transmission. Applying the Pontryagin’s Minimum Principle (PMP) to the unconstrained control problems… read more here.
Keywords: time optimal; control; time; epidemic models ... See more keywords
Stability of stochastic SIRS epidemic models with saturated incidence rates and delay
Sign Up to like & getrecommendations! Published in 2017 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2016.1244644
Abstract: Abstract In this article, we consider stochastic susceptible-infected-removed-susceptible (SIRS) epidemic models with saturated incidence rates and delay. We investigate the stochastic stability in probability of the disease-free and endemic equilibria for the stochastic dynamic model… read more here.
Keywords: models saturated; sirs epidemic; incidence rates; epidemic models ... See more keywords
Basic reproduction number of epidemic models on sparse networks.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.034318
Abstract: The basic reproduction number R_{0} is a standard indicator of infection control in epidemiology. Although R_{0} has been studied extensively for deterministic epidemic models, it has not been formulated accurately for models adopting network structures.… read more here.
Keywords: epidemic models; basic reproduction; number epidemic; reproduction number ... See more keywords
Outbreak Size Distribution in Stochastic Epidemic Models.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.128.078301
Abstract: Motivated by recent epidemic outbreaks, including those of COVID-19, we solve the canonical problem of calculating the dynamics and likelihood of extensive outbreaks in a population within a large class of stochastic epidemic models with… read more here.
Keywords: epidemic models; size distribution; stochastic epidemic; outbreak size ... See more keywords
Discrete-Time vs. Continuous-Time Epidemic Models in Networks
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DOI: 10.1109/access.2019.2940132
Abstract: Epidemic models have been a widely used mathematical tool in network security and social networks to study malware propagation and information dissemination. However, the relationships and the differences of discrete-time and continuous-time epidemic models in… read more here.
Keywords: time epidemic; epidemic models; time; discrete time ... See more keywords
Dynamics of Botnet Propagation in Software Defined Networks Using Epidemic Models
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Access"
DOI: 10.1109/access.2021.3108181
Abstract: During COVID-19 the new normal became an increased reliance on remote connectivity, and that fact is far away to change any time soon. The increasing number of networked devices connected to the Internet is causing… read more here.
Keywords: botnet propagation; dynamics botnet; software; epidemic models ... See more keywords
Global Stability of Epidemic Models With Imperfect Vaccination and Quarantine on Scale-Free Networks
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Network Science and Engineering"
DOI: 10.1109/tnse.2019.2942163
Abstract: Public health services are constantly searching for ways to reduce the spread of infectious diseases, such as public vaccination of asymptomatic individuals, quarantine and treatment of symptomatic individuals. In this paper, we introduce epidemic models… read more here.
Keywords: epidemic models; quarantine scale; stability; vaccination ... See more keywords