Browsing by Author "Daudi, Salamida"

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    Modeling the implications of seasonality and heterogeneous mean worm burden in Guinea-worm disease dynamics in dog population
    (Elsevier, 2025-05-26) Lusekelo, Eva; Daudi, Salamida; Helikumi, Mlyashimbi; Mushayabasa, Steady
    Prior to 2012, it was believed that only humans could host Guinea-worm disease. Recent findings show that dogs also act as hosts. With the 2030 goal for eradicating Guinea-worm approaching, understanding dogs’ roles is crucial. We develop a mathematical model to study seasonal Guinea-worm disease, focusing on dogs as primary hosts, given the low human cases. Our model includes seasonal variations, as previous studies indicate that disease prevalence is linked to seasonal fisheries. We also categorize infectious dogs based on their average worm burden. Our analysis examines how dog screening and tethering influence disease dynamics. Results indicate that both strategies can lower disease transmission. However, they may not be enough for total eradication on their own. Therefore, we suggest combining these methods with additional actions, like dog culling, to improve disease control.
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    Optimal Control Applied to a Dengue Model Incorporating Symptomatic, Asymptomatic, and Severe Cases With Limited Healthcare Resource
    (Elsevier, 2025-10-14) Daudi, Salamida; Lusekelo, Eva; Helikumi, Mlyashimbi; Mushayabasa, Steady
    dengue clinical manifestations and the insufficiency of public health infrastructure are not well understood. Accounting for these factors provides valuable insights for the effective management of the disease. This study develops a novel mathematical model for dengue fever that incorporates various clinical manifestations, constraints imposed by limited medical resources, and preventive control strategies. We computed the basic reproduction number and examined its correlation with model parameters. Dynamical analysis revealed that the model exhibits a backward bifurcation. Using numerical techniques, we investigated the influence of varying control strategies, modeled as both time-dependent and non-time-dependent functions, on epidemic dynamics. In both scenarios, we identified threshold levels of intervention and the timelines required for disease extinction. These findings underscore the complexity of dengue dynamics and highlight the necessity of tailored intervention approaches for effective disease management.
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    Optimal Control Applied to a Stage-structured Cassava Mosaic Disease Model with Vector Feeding Behavior
    (ELSEVIER, 2025) Lusekelo, Eva; Helikumi, Mlyashimbi; Daudi, Salamida; Mushayabasa, Steady
    Cassava remains Sub-Saharan Africa’s secondmost crucial staple food crop after maize. However production of sufficient yields is hampered by pests and diseases. In particular, the white fly (Bemisia tabaci)has the potential toreduceexpectedyieldsby50%since it directly damages cassava leaves by feeding on phloem, causing chlorosis and abscission. This study develops an ovel mathematical model for cassava mosaic disease that incorporates immature and adult white fly populations. Additionally, the model includes vector feeding behavior since priorstudieshaveshownthatvectorsexhibitpreferencestosettleforeitherhealthyorinfected hosts.Wedeterminedtheoffspringnumberandcarriedoutitssensitivityanalysis.Additionally, we carried out an optimal control study on the use of insecticides and plantroguing as disease control measures against cassava mosaic disease .Our results show that vector preference and efficiency of disease control strategies plays an important role in shaping the short and long term dynamics of cassava mosaic disease, which subsequently impacts the design of its optimal control strategies