Browsing by Author "Abola, Benard"
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Item Eigenvector centrality and uniform dominant eigenvalue of graph components(arXiv preprint arXiv, 2021) Anguzu, Collins; Engström, Christopher; Mango, John Magero; Kasumba, Henry; Silvestrov, Sergei; Abola, BenardEigenvector centrality is one of the outstanding measures of central tendency in graph theory. In this paper we consider the problem of calculating eigenvector centrality of graph partitioned into components and how this partitioning can be used. Two cases are considered; first where the a single component in the graph has the dominant eigenvalue, secondly when there are at least two components that share the dominant eigenvalue for the graph. In the first case we implement and compare the method to the usual approach (power method) for calculating eigenvector centrality while in the second case with shared dominant eigenvalues we show some theoretical and numerical results. Keywords: Eigenvector centrality, power iteration, graph, strongly connected component.Item Mathematical Modelling of the Population Dynamics of Two- Prey and One- Predator Systems at the Human-Livestock-Wildlife Interface(EC Veterinary Sciencem, 2019) Ssematimba, Amos; Kinyera, Joel; Okello, Atila; Akena, Richard; Nsamba, Samuel; Canpwonyi, Sam; Abola, Benard; Kayanja, Andrew; Kikawa, Cliff RUnderstanding the population dynamics at the human-livestock-wildlife interface is key to managing zoonotic and cross-species diseases as well as maintaining ecosystem biodiversity at this interface. This necessitates elucidation of the effects of within and between species interactions and human activities such as farming and animal harvesting among others. Keywords: Prey-Predator Systems; Predation; Population Dynamics; Ecological Modelling; Harvesting Threshold In this study, a mathematical model was developed and analyzed to study the dynamics of two- prey (Uganda-kobs (kobus kob thomasi) and the buffaloes (Syncerus caffer)) and one-predator (the lions (Panthera leo)) system at the human-livestock-wildlife interface. The model was analysed qualitatively for equilibrium points and their stability and, upon parametrization based on data in literature, numerical simulations were performed. Our findings re-echoed/re-emphasized that, for co-existence of the three species, the rate of human harvesting of kobus kob thomasi needed to be maintained below the species’ intrinsic growth rate. Existence of such a critical harvesting threshold was demonstrated and any harvesting rate exceeding that threshold would lead to ultimate extinction of both the kobus kob thomasi and the Panthera leo. Our findings further revealed that, for their long-term survival, the predator needs not to focus only on the easy-to-catch prey but use a balanced approach to ensure continued survival of both prey species. We conclude that, given the field data limitations, our findings are rather preliminary and more of a basis for future studies geared towards improving management of ecosystems involving interacting species. Most importantly, this study demonstrates that mathematical models can play a significant role in tackling complex system dynamics to generate useful information to guide policy decisions.Item Modelling Transformation of Communities by Public Universities in Post Conflict Northern Uganda Using Economic and Demographic factors(East African Journal of Education Studies, 2024) Asaf Adebua; Oriangi, George; Abola, Benard; Amone, Charles; Ezati, Betty AkulluScarcity of knowledge exists on how economic and demographic factors of surrounding communities influence the capacity of universities to transform them. This study examines the dimensions that contribute to community transformation in the context of the community surrounding Gulu University in post-conflict northern Uganda and the economic and demographic factors of the surrounding community that influence their transformation by Gulu University. The study employed a cross-sectional research design with a sample of 390 households. Self-administered questionnaires were used to collect data on household economic and demographic factors and data on dimensions of community transformation. Principal component analysis (PCA) was used to determine the contributions of the dimensions of community transformation, while logistic regression model was employed to determine economic and demographic factors that influence community transformation by Gulu University. The independent variables tested in the economic and demographic categories included age, gender, household size, occupation, alternative income, savings, credit, remittances, and education, while transformation formed the dependent variable. Findings revealed that the economic, physical, political and spiritual dimensions contribute more to the transformation of the community surrounding Gulu University, while the economic and demographic factors that had a significant influence on community transformation included occupation in civil service, business, and commercial farming (P=.004); and the level of education (P=0.044). The study concludes that the economic, physical, political and spiritual dimensions with their associated variables contributed more to community transformation. These can be used by other related studies to measure community transformation by universities in the context of developing countries. Furthermore, policies need to focus more on supporting the improvement of the business environment to promote commercial farming and university education since they have a higher multiplier effect on community transformation. Consequently, community members need to focus on business, harness commercial farming and achieve university level of educationItem Perspectives from the Local Community on Strategies for Community Transformation in Uganda’s Public Universities(East African Journal of Education Studies, 2024) Adebua, Asaf; Oriangi, George; Abola, Benard; Malinga, Geoffrey M.; Ezati, Betty Akullu; Amone, CharlesSeveral Universities in Sub-Saharan Africa (SSA) rarely have a clearly defined strategy for transforming communities. This is partly because some are still built on colonial models, which place a strong focus on theory, rote learning, and memorisation, where learners duplicate the content during examinations with little or no impact on the community. As a result, the surrounding communities continue to grapple with high levels of poverty, illiteracy, poor housing, disease, and poor-quality health and hygiene. This study explores the strategies Gulu University is using to transform the post-conflict community of Gulu City, northern Uganda. A cross-sectional research design was used involving 390 households. Self-administered questionnaires were employed to collect data on community perceptions of the operationalisation of the different strategies employed by Gulu University to transform the community. Descriptive statistics was used to determine the most outstanding strategies and their associated variables, while chi-square test was performed to assess the relationship between community perception of the existence of Gulu University and the strategies of community transformation. Findings revealed that, first, Gulu University’s strategy of knowledge application has been perceived by the surrounding community to have worked well by increasing employment opportunities, providing young people with opportunities for meaningful livelihood activities, reducing crime, and fostering enterprise development in the surrounding community. Second, the strategy of partnerships and community projects has paid off by providing scholarships to help community members further their education. However, there is still more to be done in terms of knowledge generation strategy through skill training, knowledge transmission strategy through technology transfer, primary health care, better farming engagements, and innovative business services, as well as partnerships and community projects strategy via enterprise development. Furthermore, findings indicated that there was a significant association between community perceptions of transformation and the existence of Gulu University. The findings highlight potential areas of focus for Gulu University and other Ugandan universities for formulating policies that higher institutions of learning can employ to transform communities. Besides, future research should explore the dimensions of community transformation that influence the role of higher institutions of learning in transforming communities