Browsing Mathematics by Subject "Basic reproduction number"
Now showing items 1-4 of 4
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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 ... -
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 ... -
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 ... -
Stochastic modeling of a mosquito-borne disease
(Springer Nature, 2020)We present and analyze a stochastic differential equation (SDE) model for the population dynamics of a mosquito-borne infectious disease. We prove the solutions to be almost surely positive and global. We introduce a ...