Industrial Mathematics

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Industrial Mathematics

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    A Mathematical Modelling of Lymphatic Filariasis and Malaria Co-infection
    (Abubakar Tafawa Balewa University, 2022-06-25) F. A. Oguntolu; D. W. Yavalah; C. F. Udom; T. A. Ayoola; A. A. Victor
    Lymphatic Filariasis (LF) and Malaria continue to pose significant public health burden globally and are co-endemic in many sub-Saharan African regions. In this work, we developed and analyzed a mathematical model of Lymphatic filariasis and malaria co-infection model. Friedman and Lunge method was used to find the positivity of the solution, the disease-free equilibrium was obtained, the model stability was analyzed, and the basic reproductive number was also obtained. The findings suggest that with the use of a bed-net and insecticide as a control measure, the treatment of LF and malaria co-infection can be reduced to a minimum.
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    Global Stability and Sensitivity Analysis of Basic Reproduction Number of a Malaria Model
    (Advances in Systems Sciences and Applications (ASSA), 2023-12-31) Abioye, Adesoye I.; Peter, Olumuyiwa J.; Oguntolu, Festus A.; Ayoola, Tawakalt A.; Oladapo, Asimiyu O.
    This paper explores a mathematical model of malaria, focusing on the basic reproduction number R0 and employing Lyapunov functions to assess the global stability of disease-free and endemic equilibria. Sensitivity analysis of key parameters is conducted to evaluate their impact on disease control. The results indicate an active malaria outbreak with decreasing human classes signifying disease progression and increasing mosquito classes suggesting heightened transmission risk. Effective control measures, including mosquito control and treatment of infected individuals, are essential to mitigate the outbreak.