Browsing by Author "Lekhooana, Mosito"

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    Lie symmetry analysis and conservation laws of systems of elliptic equations
    (National University of Lesotho, 2021) Lekhooana, Mosito; Assoc. Prof. Molati, Motlatsi
    This work involves the study of elliptic type systems of equations in three independent variables. In the first part of the work, the Lie point symmetries of the systems are obtained; some of the symmetries of a system are used to perform reduction to an invariant system with one less independent variable. The symmetries of the invariant system are also obtained and used for further reduction to a system with one more less independent variable. The invariant solutions of the last reduced system are constructed. The second par t of this study deal s with the construction of conservation laws of the systems of elliptic equations. The variational approach is used, that is, the Noether point symmetries and their corresponding conserved vectors are obtained.
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    Measurement and determinants of energy poverty in Lesotho
    (National University of Lesotho, 2024) Lekola, Mathabela; Thamae, Retselisitsoe; Lekhooana, Mosito
    Energy poverty remains a significant barrier to sustainable development in Lesotho. This study assesses the prevalence of energy poverty and employs a multinomial logit model to analyse the determinants of energy poverty, using data from the Lesotho 2017 Household Energy Consumption Survey (HECS). The research study explores the impact of various socioeconomic and demographic factors on different categories of energy poverty during both summer and winter seasons. The statistical analysis was conducted using Gretl software, a robust, open-source tool specifically designed for econometric analysis. Gretl facilitated the multinomial logit model, enabling the identification of key socioeconomic and demographic factors influencing various categories of energy poverty. The analysis reveals seasonal variations in energy poverty, with a higher incidence of energy poverty during winter, highlighting the increased energy needs. The key determinants of energy poverty include household income, settlement type, education level and gender of the household head. Relatively higher income levels and urban or peri-urban households are less likely to experience energy poverty, while low-income and rural households face higher risks. The education of household heads has an impact on energy poverty but was found to be inconsistent across the summer and winter models. The summer model showed that higher education was protective against extreme energy poverty, while in the winter model, higher education showed a higher likelihood of transitioning from the non-energy poverty category to the transitional and moderate energy poverty categories. The study also highlights gender disparities, with female-headed households being more vulnerable to moderate energy poverty, particularly in summer. Based on these insights, the study provides policy recommendations aimed at enhancing energy access and reducing energy poverty, including targeted support for vulnerable groups, strengthening rural energy infrastructure and promoting educational initiatives on energy management. The findings offer valuable contributions to the ongoing policy discourse as Lesotho prepares to evaluate its national energy policy, presenting an opportunity to integrate these insights into future strategies.