Browsing by Author "Tumwiine, J."

Now showing 1 - 4 of 4
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    An age-structured mathematical model for the within host dynamics of malaria and the immune system
    (Springer, 2007) Luboobi, L. S.; Tumwiine, J.; Luckhaus, S.; Mugisha, J. Y. T.
    In the paper, we use a mathematical model to study the population dynamics of replicating malaria parasites and their interaction with the immune cells within a human host. The model is formulated as a system of age-structured partial differential equations that are then integrated over age to obtain a system of nonlinear delay differential equations. Our model incorporates an intracellular time delay between the infection of the red blood cells by the merozoites that grow and replicate within the infected cells to produce new merozoites. The infected red blood cells burst approximately every 48 h releasing daughter parasites to renew the cycle. The dynamical processes of the parasites within the human host are subjected to pressures exerted by the human immunological responses. The system is then solved using a first-order, finite difference method to give a discrete system. Numerical simulations carried out to illustrate stability of the system reveal that the populations undergo damped oscillations that stabilise to steady states.
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    On oscillatory pattern of malaria dynamics in a population with temporary immunity
    (Taylor & Francis, 2007) Luboobi, L. S; Tumwiine, J.; Mugisha, J. Y. T.
    We use a model to study the dynamics of malaria in the human and mosquito population to explain the stability patterns of malaria. The model results show that the disease-free equilibrium is globally asymptotically stable and occurs whenever the basic reproduction number, R0 is less than unity. We also note that when R0 . 1, the disease-free equilibrium is unstable and the endemic equilibrium is stable. Numerical simulations show that recoveries and temporary immunity keep the populations at oscillation patterns and eventually converge to a steady state.
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    Prevalence of child injuries in Mbale region, Eastern Uganda
    (East and Central African Journal of Surgery, 2016) Ibingira, C.B.R.; Tumwiine, J.; Nankabirwa, P.; Nankunda, J.
    The rate of unintentional child injuries in sub-Saharan Africa is at 53.1 per 100,000, The highest for low income regions, data on these injuries and associated factors among children in Uganda is very scanty. Most child injuries are related to the way of life in rural communities typically burns from charcoal stoves, candle light , hot fluids, chemicals , falls, and animal bites . Methods: This was a cross sectional community survey among the Promise EBF participants in Mbale district of east Uganda. Objective; to establish the prevalence, causes and associated factors of un-intentional child injuries in Mbale District .
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    Threshold And Stability Results For A Malaria Model In A Population With Protective Intervention Among High‐Risk Groups
    (Mathematical Modelling and Analysis, 2008) Tumwiine, J.; Mugisha, J.Y.T.; Luboobi, L.S.
    We develop a mathematical model for the dynamics of malaria with a varying population for which new individuals are recruited through immigration and births. In the model, we assume that non-immune travellers move to endemic regions with sprays, smear themselves with jelly that is repellent to mosquitoes on arrival in malarious regions, others take long term antimalarials, and pregnant women and infants receive full treatment doses at intervals even when they are not sick from malaria (commonly referred to as intermittent preventive therapy). We introduce more features that describe the dynamics of the disease for the control strategies that protect the above vulnerable groups. The model analysis is done and equilibrium points are analyzed to establish their local and global stability. The threshold of the disease, the control reproduction number, is established for which the disease can be eliminated.