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A model of HIV/AIDS population dynamics including ARV treatment and pre-exposure prophylaxis
(SpringerOpen, 2018)
Antiretroviral treatment (ART) and oral pre-exposure prophylaxis (PrEP) have recently
been used efficiently in management of HIV infection. Pre-exposure prophylaxis
consists in the use of an antiretroviral medication to ...
A model of population dynamics of TB in a prison system and application to South Africa
(BioMed Central, 2017)
BACKGROUND: Tuberculosis (TB) continues to spread in South African prisons in particular, as prisons are over-capacitated
and have poor ventilation. The awaiting trial detainees are not screened on admission and are at ...
An SEIRS epidemic model with stochastic transmission
(Springer, 2017)
For an SEIRS epidemic model with stochastic perturbations on transmission from the susceptible class to the latent and infectious classes, we prove the existence of global positive solutions. For sufficiently small values ...
Stability of an SEIR epidemic model with indepenent stochastic perturbations
(Elsevier, 2013)
For an epidemic model of the type mentioned, we prove a theorem on almost sure exponential
stability of the disease-free equilibrium. For small values of the diffusion parameter,
σ, we describe the stability of the disease ...
The fibre of a pinch map in a model category
(Springer Verlag, 2013)
In the category of pointed topological spaces, let F be the homotopy fibre of the
pinching map X ∪ CA → X ∪ CA/ X from the mapping cone on a cofibration A → X
onto the suspension of A. Gray (Proc Lond Math Soc (3) ...
A model for control of HIV/AIDS with parental care
(World Scientific Publishing, 2013)
In this study we investigate the HIV/AIDS epidemic in a population which experiences
a significant flow of immigrants. We derive and analyze a mathematical model that
describes the dynamics of HIV infection among the ...
An optimal portfolio and capital management strategy for basel III compliant commercial banks
(Hindawi Publishing Corporation, 2014)
We model a Basel III compliant commercial bank that operates in a financial market consisting of a treasury security, a marketable security, and a loan and we regard the interest rate in the market as being stochastic. We ...
Multiplication of Crowns
(Instituto de Matematica de Bahia Blanca (INMABB-CONICET), 2013)
It is known that the only nite topological spaces that are H-spaces are the discrete spaces. For a nite poset which is weakly equivalent to an H-space, a generalized multiplication may be found after suitable ...
An SEIR model with infected immigrants and recovered emigrants
(Springer Science and Business Media Deutschland GmbH, 2021)
We present a deterministic SEIR model of the said form. The population in point can be considered as consisting of a local population together with a migrant subpopulation. The migrants come into the local population for ...
Tuberculosis in Ethiopia: Optimal intervention strategies and cost-effectiveness analysis
(MDPI, 2022)
This paper searches for optimal strategies for the minimization of the number of high-risk
latent and active tuberculosis (TB) infectious individuals using real data from Ethiopia. Optimal
control theory is harnessed for ...