Search Results - "Brauer, Fred"
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1
Mathematical epidemiology: Past, present, and future
Published in Infectious disease modelling (01-05-2017)“…We give a brief outline of some of the important aspects of the development of mathematical epidemiology…”
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Early estimates of epidemic final sizes
Published in Journal of biological dynamics (15-03-2019)“…Early in a disease outbreak, it is important to be able to estimate the final size of the epidemic in order to assess needs for treatment and to be able to…”
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A new epidemic model with indirect transmission
Published in Journal of biological dynamics (01-08-2017)“…We consider an epidemic model in which all disease transmission is through shedding of virus by infectives and acquisition by susceptibles, rather than by…”
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A final size relation for epidemic models of vector-transmitted diseases
Published in Infectious disease modelling (01-02-2017)“…We formulate and analyze an age of infection model for epidemics of diseases transmitted by a vector, including the possibility of direct transmission as well…”
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Backward bifurcations in simple vaccination models
Published in Journal of mathematical analysis and applications (15-10-2004)“…We describe and analyze by elementary means some simple models for disease transmission with vaccination. In particular, we give conditions for the existence…”
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A simple model for behaviour change in epidemics
Published in BMC public health (25-02-2011)“…People change their behaviour during an epidemic. Infectious members of a population may reduce the number of contacts they make with other people because of…”
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Dynamics of an age-of-infection cholera model
Published in Mathematical biosciences and engineering : MBE (01-10-2013)“…A new model for the dynamics of cholera is formulated that incorporates both the infection age of infectious individuals and biological age of pathogen in the…”
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Some models for epidemics of vector-transmitted diseases
Published in Infectious disease modelling (01-10-2016)“…Vector-transmitted diseases such as dengue fever and chikungunya have been spreading rapidly in many parts of the world. The Zika virus has been known since…”
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Modelling and simulating Chikungunya spread with an unstructured triangular cellular automata
Published in Infectious disease modelling (01-01-2020)“…In this work we propose a mathematical model to simulate Chikungunya spread; the spread model is implemented in a C++ cellular automata code defined on…”
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A novel approach to modelling the spatial spread of airborne diseases: an epidemic model with indirect transmission
Published in Mathematical biosciences and engineering : MBE (27-04-2020)“…We formulated and analyzed a class of coupled partial and ordinary differential equation (PDE-ODE) model to study the spread of airborne diseases. Our model…”
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Simple models for containment of a pandemic
Published in Journal of the Royal Society interface (22-06-2006)“…We formulate compartmental models to describe outbreaks of influenza and attempt to manage a disease outbreak by vaccination or antiviral treatment. The models…”
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A co-interaction model of HIV and syphilis infection among gay, bisexual and other men who have sex with men
Published in Infectious disease modelling (01-01-2020)“…We developed a mathematical model to study the co-interaction of HIV and syphilis infection among gay, bisexual and other men who have sex with men (gbMSM). We…”
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General Compartmental Epidemic Models
Published in Chinese annals of mathematics. Serie B (01-05-2010)“…The age of infection approach introduced by Kermack and Mckendrick in 1927 gives a unified way of describing and analyzing a variety of epidemic models,…”
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Drug resistance in an age-of-infection model
Published in Mathematical population studies (02-01-2017)“…In the case of a disease spreading over a time-scale comparable to the average lifetime in a host population, when the infectiousness of individuals depends on…”
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The Final Size of a Serious Epidemic
Published in Bulletin of mathematical biology (01-03-2019)“…In an epidemic of a serious disease, there is likely to be behavioral response that decreases the epidemic size considerably, and taking this into account may…”
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Vaccination against 2009 pandemic H1N1 in a population dynamical model of Vancouver, Canada: timing is everything
Published in BMC public health (14-12-2011)“…Much remains unknown about the effect of timing and prioritization of vaccination against pandemic (pH1N1) 2009 virus on health outcomes. We adapted a…”
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A singular perturbation approach to epidemics of vector-transmitted diseases
Published in Infectious disease modelling (01-01-2019)“…In vector-borne epidemic models there is often a substantial difference between the vector and host time scales. This makes it possible to use the…”
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Some Simple Nosocomial Disease Transmission Models
Published in Bulletin of mathematical biology (01-03-2015)“…The SARS epidemic of 2002–2003 drew attention to nosocomial disease transmission as many of the disease cases were transmitted through hospital staff and…”
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Epidemic Models with Heterogeneous Mixing and Treatment
Published in Bulletin of mathematical biology (01-10-2008)“…We consider a two-group epidemic model with treatment and establish a final size relation that gives the extent of the epidemic. This relation can be…”
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