Basic stochastic models for viral infection within a host.
Math Biosci Eng. 2012.
PMID: 23311428
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Basic stochastic models for viral infection within a host.
Math Biosci Eng. 2012 Oct;9(4):915-35. doi: 10.3934/mbe.2012.9.915.
Math Biosci Eng. 2012.
PMID: 23311428
Free article.
Stochastic differential equation (SDE) models are formulated for intra-host virus-cell dynamics during the early stages of viral infection, prior to activation of the immune system. The SDE models incorporate more realism into the …
Stochastic differential equation (SDE) models are formulated for intra-host virus-cell dynamics during the early …
Modeling the stochastic within-host dynamics SARS-CoV-2 infection with discrete delay.
Theory Biosci. 2022 Nov;141(4):365-374. doi: 10.1007/s12064-022-00379-5. Epub 2022 Oct 3.
Theory Biosci. 2022.
PMID: 36190645
Free PMC article.
In this paper, a new mathematical model that describes the dynamics of the within-host COVID-19 epidemic is formulated. We show the stochastic dynamics of Target-Latent-Infected-Virus free within the human body with discrete delay and noise. ...The most inter …
In this paper, a new mathematical model that describes the dynamics of the within-host COVID-19 epidemic is formulated. We show the …
Modeling the within-host dynamics of cholera: bacterial-viral interaction.
J Biol Dyn. 2017 Aug;11(sup2):484-501. doi: 10.1080/17513758.2016.1269957. Epub 2016 Dec 22.
J Biol Dyn. 2017.
PMID: 28004608
Novel deterministic and stochastic models are proposed in this paper for the within-host dynamics of cholera, with a focus on the bacterial-viral interaction. ...The multitype branching process approximation is applied to estimate the extinction probab …
Novel deterministic and stochastic models are proposed in this paper for the within-host dynamics of cholera, with a fo …
Stochastic models for virus and immune system dynamics.
Math Biosci. 2011 Dec;234(2):84-94. doi: 10.1016/j.mbs.2011.08.007. Epub 2011 Sep 16.
Math Biosci. 2011.
PMID: 21945381
Free PMC article.
New stochastic models are developed for the dynamics of a viral infection and an immune response during the early stages of infection. ...For the case R0>1, the deterministic models predict the viral infection persists in …
New stochastic models are developed for the dynamics of a viral infection and an immune response during the earl …
The effect of demographic and environmental variability on disease outbreak for a dengue model with a seasonally varying vector population.
Math Biosci. 2021 Jan;331:108516. doi: 10.1016/j.mbs.2020.108516. Epub 2020 Nov 27.
Math Biosci. 2021.
PMID: 33253746
Seasonal changes in temperature, humidity, and rainfall affect vector survival and emergence of mosquitoes and thus impact the dynamics of vector-borne disease outbreaks. Recent studies of deterministic and stochastic epidemic models with periodic environments have …
Seasonal changes in temperature, humidity, and rainfall affect vector survival and emergence of mosquitoes and thus impact the dynamics of v …
Herpesvirus infections of laboratory macaques.
J Immunotoxicol. 2010 Apr-Jun;7(2):102-13. doi: 10.3109/15476910903409843.
J Immunotoxicol. 2010.
PMID: 19995244
Review.
A life-long consequence of herpesvirus infection is periodic stochastic and frequently asymptomatic recurrences from latency throughout an infected macaque's lifetime. ...Further, the herpesvirus flora and prevalence of infection in laboratory macaques mirror …
A life-long consequence of herpesvirus infection is periodic stochastic and frequently asymptomatic recurrences from latency t …
Extinction pathways and outbreak vulnerability in a stochastic Ebola model.
J R Soc Interface. 2017 Feb;14(127):20160847. doi: 10.1098/rsif.2016.0847.
J R Soc Interface. 2017.
PMID: 28202592
Free PMC article.
A zoonotic disease is a disease that can be passed from animals to humans. Zoonotic viruses may adapt to a human host eventually becoming endemic in humans, but before doing so punctuated outbreaks of the zoonotic virus may be observed. The Ebola virus diseas …
A zoonotic disease is a disease that can be passed from animals to humans. Zoonotic viruses may adapt to a human host eventually beco …
Modelling the outbreak of infectious disease following mutation from a non-transmissible strain.
Theor Popul Biol. 2019 Apr;126:1-18. doi: 10.1016/j.tpb.2018.08.002. Epub 2018 Aug 27.
Theor Popul Biol. 2019.
PMID: 30165060
Free PMC article.
In-host mutation of a cross-species infectious disease to a form that is transmissible between humans has resulted with devastating global pandemics in the past. ...We extend the SIR approach to derive a deterministic and a stochastic formulation to describe the evo …
In-host mutation of a cross-species infectious disease to a form that is transmissible between humans has resulted with devastating g …
Infectious disease dynamics: What characterizes a successful invader?
Philos Trans R Soc Lond B Biol Sci. 2001 Jun 29;356(1410):901-10. doi: 10.1098/rstb.2001.0866.
Philos Trans R Soc Lond B Biol Sci. 2001.
PMID: 11405937
Free PMC article.
Review.
Against the background of human immunodeficiency virus (HIV) and acquired immune deficiency syndrome (AIDS) and other potentially emerging (or re-emerging) infectious diseases, this review will focus on the properties which enable an infectious agent to establish an …
Against the background of human immunodeficiency virus (HIV) and acquired immune deficiency syndrome (AIDS) and other potentially eme …
A comparative evaluation of modelling strategies for the effect of treatment and host interactions on the spread of drug resistance.
J Theor Biol. 2009 Jul 21;259(2):253-63. doi: 10.1016/j.jtbi.2009.03.029. Epub 2009 Apr 1.
J Theor Biol. 2009.
PMID: 19344730
Free PMC article.
The results show that, as a common feature in all models, high treatment levels during the early stages of disease outset can result in large resistant outbreaks, with the possibility of a second wave of infection appearing in the pair-approximation model. Our simul …
The results show that, as a common feature in all models, high treatment levels during the early stages of disease outset can result …
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