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The effects of vaccination and treatment on the spread of HIV/AIDS
(World Scientific Publishing, 2004)
This study investigates the effects of vaccination and treatment on the spread of HIV/AIDS. The objectives are (i) to derive conditions for the success of vaccination and treatment programs and (ii) to derive threshold ...
Significance of antiviral therapy and CTL-mediated immune response in containing hepatitis B and C virus infection.
(Elsevier B. V., 2021-01-12)
Viral infections remain a major cause of deaths globally. Here, we focus on Hepatitis B and C viruses (HBV and HCV) infection dynamics in the liver and blood cells, taking into account non-cytotoxic and cytotoxic mediated ...
Modeling salmonellosis transmission dynamics in humans and dairy cattle with optimal controls.
(Elsevier Inc., 2025-02)
In this paper, we develop a mathematical model to examine the transmission dynamics and control analysis of salmonellosis in humans and dairy cattle. The model considers three time-dependent controls (improving hygiene, ...
Dynamical and optimal control analysis of a seasonal Trypanosoma brucei rhodesiense model.
(AIMS Press, 2020-02-27)
The effects of seasonal variations on the epidemiology of Trypanosoma brucei rhodesiense disease is well documented. In particular, seasonal variations alter vector development rates and behaviour, thereby influencing the ...
A vaccination model for COVID-19 in Gauteng, South Africa
(KeAi Communications Co., 2022-09)
The COVID-19 pandemic provides an opportunity to explore the impact of government mandates on movement restrictions and non-pharmaceutical interventions on a novel infection, and we investigate these strategies in early-stage ...
Modelling the Control of the Impact of Fall Armyworm (Spodoptera frugiperda) Infestations on Maize Production.
(Hindawi, 2021-03-18)
In this paper, we propose and analyse a stage-structured mathematical model for modelling the control of the impact of Fall Armyworm infestations on maize production. Preliminary analysis of the model in the vegetative and ...
Modeling the Effect of HIV/AIDS Stigma on HIV Infection Dynamics in Kenya.
(Springer Link, 2021-04-05)
Stigma toward people living with HIV/AIDS (PLWHA) has impeded the response to the disease across the world. Widespread stigma leads to poor adherence of pre- ventative measures while also causing PLWHA to avoid testing and ...
A mathematical model for fall armyworm management on maize biomass
(SpringerLink, 2012)
Fall armyworm (Spodoptera frugiperda), a highly destructive and fast spreading agricultural pest native to North and South America, poses a real threat to global food security. In this paper, to explore the dynamics and ...
Mathematical modeling of the dynamics of health risks associated with alcoholism in Tanzania: a literature review.
(SCIK Publishing Corporation, 2020-07-13)
In this paper, a number of alcohol related studies have been reviewed in light of the strength and challenges of the models developed for their applicability in Tanzanian drinking context. The aim of this paper is to provide ...
A fractional-order fall armyworm-maize biomass model with naturally beneficial insects and optimal farming awareness.
(Elsevier, 2021-11-01)
Maize remains an important food crop in Africa. However, the production of this crop, and consequently the livelihood of the growers are threatened by the invasion and widespread infestation of the fall armyworm which ...