Could condom stop the AIDS epidemic?
Moghadas, Seyed M., Gumel, Abba B., McLeod, Robert, Gordon, Richard (2003)
Journal of Theoretical Medicine
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Moghadas, Seyed M., Gumel, Abba B., McLeod, Robert, Gordon, Richard (2003)
Journal of Theoretical Medicine
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Baryarama, F., Mugisha, J.Y.T. (2007)
International Journal of Mathematics and Mathematical Sciences
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A.S. Novozhilov (2012)
Mathematical Modelling of Natural Phenomena
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We present a unified mathematical approach to epidemiological models with parametric heterogeneity, i.e., to the models that describe individuals in the population as having specific parameter (trait) values that vary from one individuals to another. This is a natural framework to model, e.g., heterogeneity in susceptibility or infectivity of individuals. We review, along with the necessary theory, the results obtained using the discussed...
W. E. Fitzgibbon, M. Langlais, J. J. Morgan, D. Pontier, C. Wolf (2003)
Banach Center Publications
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Global existence results and long time behavior are provided for a mathematical model describing the propagation of Feline Panleucopenia Virus (FPLV) within a domestic cat population; two transmission modes are involved: a direct one from infective cats to susceptible ones, and an indirect one from the contaminated environment to susceptible cats. A more severe impact of the virus on young cats requires an age-structured model.
Joshua A. Enszer, Mark A. Stadtherr (2009)
International Journal of Applied Mathematics and Computer Science
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Epidemiological models can be used to study the impact of an infection within a population. These models often involve parameters that are not known with certainty. Using a method for verified solution of nonlinear dynamic models, we can bound the disease trajectories that are possible for given bounds on the uncertain parameters. The method is based on the use of an interval Taylor series to represent dependence on time and the use of Taylor models to represent dependence on uncertain...
Baryarama, F., Mugisha, J.Y.T., Luboobi, L.S. (2006)
Computational & Mathematical Methods in Medicine
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Baryarama, F., Mugisha, J.Y.T., Luboobi, L.S. (2006)
Computational & Mathematical Methods in Medicine
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Piqueira, José Roberto C. (2010)
Mathematical Problems in Engineering
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Ellen Baake, Robert Bialowons (2008)
Banach Center Publications
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We consider two versions of stochastic population models with mutation and selection. The first approach relies on a multitype branching process; here, individuals reproduce and change type (i.e., mutate) independently of each other, without restriction on population size. We analyse the equilibrium behaviour of this model, both in the forward and in the backward direction of time; the backward point of view emerges if the ancestry of individuals chosen randomly from the present population...