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Mathematical modelling of Hepatitis E Virus (HEV) and Chronic Myeloid Leukemia (CML) co-infection dynamics
(Strathmore University, 2017)
There are major advances which have been made to understand HEV and CML transmission dynamics but none of these have considered the effects of transmission parameters on the burden of HEV on CML prevalence in a co-infection ...
Modeling optimal control of Cholera disease under the interventions of vaccination, treatment and education awareness
(Strathmore University, 2017)
In this work, our main purpose is to formulate and analyse a mathematical model of the dynamics and optimal control strategies of cholera epidemic. We present and analyze a cholera model with controls, u1 for vaccination ...
Mathematical models for Hepatocytic-Erythrocytic dynamics and therapeutic control of Malaria
(Strathmore University, 2017)
Malaria is one of the most frequently occurring infectious diseases worldwide (along with HIV/AIDS and tuberculosis), with almost 1 million deaths and an estimated 243 million clinical cases annually. An in-host model of ...
Blood perfusion flow of an electro-kinetic fluid through a porous medium with viscous dissipation
(Strathmore University, 2017)
In this work, we considered a mathematical model of an electro-kinetic fluid flow through a porous medium with blood perfusion and viscous dissipation. The fluid is assumed to poses temperature-dependent variable viscosity ...
Banana Xanthomonas Wilt dynamics with mixed cultivars in a periodic environment
(Strathmore University, 2017)
In this study, a non-autonomous model for the spread of Banana Xanthomonas Wilt disease (BXW) in a seasonally fluctuating environment is considered. Two categories of cultivars with different susceptible levels for ...
Modelling transmission and control of African Swine Fever in Uganda with transportation of infected pigs
(Strathmore University, 2017)
African Swine Fever (ASF) is a devastating haemorrhagic fever of pigs that causes up to 100% mortality, for which there is no vaccine and treatment. Its highly contagious nature and ability to spread over long distances ...
Modelling the role of treatment and vaccination in the control of transmission dynamics of pneumonia among children in Uganda
(Strathmore University, 2017)
Pneumonia is one of the leading causes of serious illness and deaths among children around the world. Efforts to effectively treat and control the spread of pneumonia is possible if its dynamics is well understood. In this ...
Mathematical modelling of in-vivo dynamics of HIV subject to the influence of the CD8+T-Cells
(Strathmore University, 2017)
There have been many mathematical models that analyses in-vivo dynamics of HIV. However, in most cases the attention has been on the interaction of the HIV virions and the CD4+T-cells. This paper brings in the intervention ...
Solving hyperbolic partial differential equations using multi-domain bivariate spectral collocation method
(Strathmore University, 2017)
In this article, the multi-domain bivariate spectral collocation method is applied, for the first time, in solving hyperbolic partial differential equations (PDEs) that are defined over large time domains. The proposed ...
Bernoulli collocation method for solving linear multi-dimensional diusion and wave equations with Dirichlet boundary conditions
(Strathmore University, 2017)
In this paper, a numerical approach is proposed for solving multi-dimensional parabolic diusion and hyperbolic wave equations subject to the appropriate initial and boundary conditions. The considered numerical solutions ...