Browsing by Author "Chilinga, Fatu"

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    Modelling the effect of Fusarium oxysporum in transmission dynamics of fusarium wilt disease of cashew plants in context of south-eastern Tanzania
    (SCIK Publishing Corporation, 2022) Chilinga, Fatu; Hugo, Alfred K.; Wanyama, Alfred M.
    Cashew nuts are the most important cash crop in Tanzania's south-eastern region, where cashew nut farming is the primary source of income for the majority of people. Aside from their importance, cashew plants are vulnerable to Fusarium wilt, a devastating disease. In particular study a system of equations for the model is formulated and analyzed qualitatively using the stability theorem of ordinary differential equation. The stability analysis indicates that the system is stable under the specified conditions. Furthermore, the analysis shows that an increase in transmission is determined by the rate of contact between susceptible plants and infected plants via root contact, whereas numerical results show that decomposed infected plants contribute to the growth of Fusarium oxysporum, increasing the disease outbreak.
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    Modelling the Impact of Decomposed Disease-Induced Dead Cashew Plants on Fusarium Wilt Dynamics in South-Eastern Tanzania
    (The Institute for Research and Community Services (LPPM) ITB, 2023) Chilinga, Fatu; Hugo, Alfred K.
    Cashew Fusarium wilt disease transmitted by Fusarium oxysporum is dangerous and destroys many cashew plants in Tanzania. The effect of this disease leads households and the government to experience a decrease in overall cashew production and income due to this disease’s capacity to harm cashew plants. This study aimed to ascertain the role of Fusarium wilt-decayed disease-induced dead plants in spreading the disease among cashew plants. A mathematical model was created based on the dynamics of the disease and a stability analysis was conducted using theories of ordinary differential equations. Data from two regions in Tanzania, Lindi, and Mtwara, were used in model fitting and parameter estimation. Additionally, the parameters were estimated using maximum likelihood estimation (MLE). The outcome suggests that the disease’s prevalence and spread increase during an outbreak as decomposed diseased-induced dead plants contribute to the saturation of chlamydospores in the soil.
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    Modelling the impact of decomposed disease-induced dead cashew plants on fusarium wilt dynamics in South-Eastern Tanzania
    (The Institute for Research and Community Services (LPPM) ITB, 2023) Chilinga, Fatu; Hugo, Alfred K.
    Cashew Fusarium wilt disease transmitted by Fusarium oxysporum is dangerous and destroys many cashew plants in Tanzania. The effect of this disease leads households and the government to experience a decrease in overall cashew production and income due to this disease's capacity to harm cashew plants. This study aimed to ascertain the role of Fusarium wilt-decayed disease-induced dead plants in spreading the disease among cashew plants. A mathematical model was created based on the dynamics of the disease and a stability analysis was conducted using theories of ordinary differential equations. Data from two regions in Tanzania, Lindi, and Mtwara, were used in model fitting and parameter estimation. Additionally, the parameters were estimated using maximum likelihood estimation (MLE). The outcome suggests that the disease's prevalence and spread increase during an outbreak as decomposed diseased-induced dead plants contribute to the saturation of chlamydospores in the soil.