Determination of an optimal control strategy for vaccine administration in COVID-19 pandemic treatment

GB Libotte, FS Lobato, GM Platt, AJS Neto - Computer methods and …, 2020 - Elsevier
Background and objective For decades, mathematical models have been used to predict the
behavior of physical and biological systems, as well as to define strategies aiming at the …

A fractional order HIV/AIDS epidemic model with Mittag-Leffler kernel

M Aslam, R Murtaza, T Abdeljawad, G Rahman… - Advances in Difference …, 2021 - Springer
In this article, we study a fractional order HIV/AIDS infection model with ABC-fractional
derivative. The model is based on four classes of a population. The study includes the …

[HTML][HTML] A mathematical modelling study of HIV infection in two heterosexual age groups in Kenya

EO Omondi, RW Mbogo, LS Luboobi - Infectious Disease Modelling, 2019 - Elsevier
The control of HIV demands different interventions for different age groups. In the present
manuscript, we formulate and analyze a mathematical compartmental models of HIV …

Mathematical analysis of sex-structured population model of HIV infection in Kenya

EO Omondi, RW Mbogo… - Letters in Biomathematics, 2018 - lettersinbiomath.org
In this paper, we develop a mathematical model describing the dynamics of HIV
transmission by incorporating sexual orientation of individuals. Equilibrium points and the …

Permanence and extinction of a nonautonomous HIV/AIDS epidemic model with distributed time delay

GP Samanta - Nonlinear Analysis: Real World Applications, 2011 - Elsevier
In this paper, we have considered a nonautonomous stage-structured HIV/AIDS epidemic
model having two stages of the period of infection according to the developing progress of …

Mathematical analysis and numerical solution of a model of HIV with a discrete time delay

AJ Arenas, G González-Parra, JJ Naranjo, M Cogollo… - Mathematics, 2021 - mdpi.com
We propose a mathematical model based on a set of delay differential equations that
describe intracellular HIV infection. The model includes three different subpopulations of …

The effect of incidence functions on the dynamics of a quarantine/isolation model with time delay

MA Safi, AB Gumel - Nonlinear Analysis: Real World Applications, 2011 - Elsevier
The problem of the asymptotic dynamics of a quarantine/isolation model with time delay is
considered, subject to two incidence functions, namely standard incidence and the Holling …

Dynamic analysis of an SEIR model with distinct incidence for exposed and infectives

J Li, N Cui - The Scientific World Journal, 2013 - Wiley Online Library
An SEIR model with vaccination strategy that incorporates distinct incidence rates for the
exposed and the infected populations is studied. By means of Lyapunov function and …

Field transmission intensity of Schistosoma japonicum measured by basic reproduction ratio from modified Barbour's model

SJ Gao, YY He, YJ Liu, GJ Yang, XN Zhou - Parasites & vectors, 2013 - Springer
Background Schistosomiasis japonica, caused by infection with Schistosoma japonicum, is
still recognized as a major public health problem in the Peoples' Republic of China …

[PDF][PDF] Investigation of fractal-fractional HIV infection by evaluating the drug therapy effect in the Atangana-Baleanu sense

J Kongson, C Thaiprayoon, A Neamvonk… - Math. Biosci …, 2022 - researchgate.net
In this paper, we apply the fractal-fractional derivative in the Atangana-Baleanu sense to a
model of the human immunodeficiency virus infection of CD4+ T-cells in the presence of a …