Zobrazeno 1 - 10
of 200
pro vyhledávání: '"Maia Martcheva"'
Publikováno v:
Journal of Biological Dynamics, Vol 18, Iss 1 (2024)
In this study, we apply optimal control theory to an immuno-epidemiological model of HIV and opioid epidemics. For the multi-scale model, we used four controls: treating the opioid use, reducing HIV risk behaviour among opioid users, entry inhibiting
Externí odkaz:
https://doaj.org/article/643c702bfe2747f7b195f9d664d29f4e
Publikováno v:
Mathematical Biosciences and Engineering, Vol 21, Iss 5, Pp 6123-6149 (2024)
In this paper, we investigate an optimal harvesting problem of a spatially explicit fishery model that was previously analyzed. On the surface, this problem looks innocent, but if parameters are set to where a singular arc occurs, two complex questio
Externí odkaz:
https://doaj.org/article/369c553fd5e34ff4b35591152b7cf0b0
Publikováno v:
Mathematical Biosciences and Engineering, Vol 21, Iss 4, Pp 5577-5603 (2024)
In this paper we develop a four compartment within-host model of nutrition and HIV. We show that the model has two equilibria: an infection-free equilibrium and infection equilibrium. The infection free equilibrium is locally asymptotically stable wh
Externí odkaz:
https://doaj.org/article/acb94dac47b847f49afa63de3b23d7d1
Publikováno v:
Mathematics, Vol 12, Iss 18, p 2837 (2024)
This study examines the interactions between healthy target cells, infected target cells, virus particles, and immune cells within an HIV model. The model exhibits two equilibrium points: an infection-free equilibrium and an infection equilibrium. St
Externí odkaz:
https://doaj.org/article/552fb4be48644f4bb825dce9e0bf155a
Publikováno v:
Mathematics, Vol 12, Iss 16, p 2583 (2024)
We used a previously introduced HIV within-host model with sensitive and resistant strains and validated it with two data sets. The first data set is from a clinical study that investigated multi-drug treatments and measured the total CD4+ cell count
Externí odkaz:
https://doaj.org/article/4299147e26624d3daac1ef66df9546c2
Publikováno v:
Mathematical Biosciences and Engineering, Vol 20, Iss 11, Pp 19527-19552 (2023)
Human immunodeficiency virus (HIV) infection is a major public health concern with 1.2 million people living with HIV in the United States. The role of nutrition in general, and albumin/globulin in particular in HIV progression has long been recogniz
Externí odkaz:
https://doaj.org/article/6eb181eb56004983856c3aa890981e87
Publikováno v:
Journal of Biological Dynamics, Vol 17, Iss 1 (2023)
ABSTRACTHIV continues to be a major global health issue, having claimed millions of lives in the last few decades. While several empirical studies support the fact that proper nutrition is useful in the fight against HIV, very few studies have focuse
Externí odkaz:
https://doaj.org/article/f1e8ce51c9a842b48cc8abbdb2c42a31
Autor:
Rabindra Kumar Gupta, Rajanish Kumar Rai, Pankaj Kumar Tiwari, Arvind Kumar Misra, Maia Martcheva
Publikováno v:
Journal of Biological Dynamics, Vol 17, Iss 1 (2023)
Here, we investigate a mathematical model to assess the impact of disinfectants in controlling diseases that spread in the population via direct contacts with the infected persons and also due to bacteria present in the environment. We find that the
Externí odkaz:
https://doaj.org/article/eeb84e9ac78a4bf9b2c6b775316421dd
Publikováno v:
Mathematical Biosciences and Engineering, Vol 20, Iss 2, Pp 4040-4068 (2023)
In this paper, we introduce a novel multi-scale network model of two epidemics: HIV infection and opioid addiction. The HIV infection dynamics is modeled on a complex network. We determine the basic reproduction number of HIV infection, $ \mathcal{R}
Externí odkaz:
https://doaj.org/article/b389387bd3b0431e94e52a975ada1fc5
Publikováno v:
Journal of Biological Dynamics, Vol 16, Iss 1, Pp 14-28 (2022)
COVID-19 is a disease caused by infection with the virus 2019-nCoV, a single-stranded RNA virus. During the infection and transmission processes, the virus evolves and mutates rapidly, though the disease has been quickly controlled in Wuhan by ‘Fan
Externí odkaz:
https://doaj.org/article/c20c69b88fa24b5e844ef253696b9f1e