DSpace Community: SPS

MATHEMATICAL MODELLING OF WASTE MANAGEMENT SYSTEM WITH RECYCLING AND TREATMENT

Thu, 01 Jan 2026 00:00:00 GMT

Title: MATHEMATICAL MODELLING OF WASTE MANAGEMENT SYSTEM WITH RECYCLING AND TREATMENT Authors: BAKO, Deborah Ushafa; Ayenajeyi, S Abstract: In this study, a deterministic mathematical model that explains the transmission dynamics of waste management systems is proposed and analyzed. Positivity and boundedness of solution of the model are proved and basic reproduction number is computed using the next-generation matrix method. The existence of a unique waste management free and endemic equilibrium points are investigated. Then, we study the local asymptotic stability of these equilibrium points. The analysis shows that the system has a locally asymptotically stable waste management -free equilibrium point whenever the reproduction number is R0 < 1 and locally asymptotically stable endemic equilibrium point whenever the reproduction number is . The simulation result shows the agreement with the analytical results.

MATHEMATICAL MODELLING OF CHILTRAFFICKING DYNAMICS WITH INTERVENTION STRATEGIES

Thu, 01 Jan 2026 00:00:00 GMT

Title: MATHEMATICAL MODELLING OF CHILTRAFFICKING DYNAMICS WITH INTERVENTION STRATEGIES Authors: BAKO, Deborah Ushafa; Yamawo, H Abstract: In this study we, developed and analysed a deterministic model for the transmission dynamics and control of Child trafficking by incorporating prevention strategies such as enhance rescue operations and rehabilitation program. The model is proved to be both epidemiologically and mathematically well posed. We showed that all solutions of the model are positive and bounded with initial conditions in a certain meaningful set. The existence of unique child trafficking free and endemic equilibrium points are investigated and the basic reproduction number is computed. Then, we study the local asymptotic stability of these equilibrium points. The analysis shows that the system has a locally asymptotically stable child trafficking-free equilibrium point whenever the reproduction number is and locally asymptotically stable endemic equilibrium point whenever the reproduction number is . The simulation result shows the agreement with the analytical results.

MATHEMATICAL MODEL FOR THE TRANSMISSION DYNAMICS OF EBOLA INCORPORATING OPTIMAL CONTROL STRATEGIES

Wed, 01 Jan 2025 00:00:00 GMT

Title: MATHEMATICAL MODEL FOR THE TRANSMISSION DYNAMICS OF EBOLA INCORPORATING OPTIMAL CONTROL STRATEGIES Authors: BAKO, Deborah Ushafa Abstract: Ebola Virus Disease remains one of the most deadly infectious diseases affecting several African countries due to its high transmission and mortality rates. Understanding the transmission dynamics of the disease is essential for developing effective intervention and control strategies. In this study, a deterministic compartmental mathematical model for the transmission dynamics of Ebola Virus Disease is developed and analyzed. The total population is divided into six epidemiological compartments namely susceptible, exposed, infectious, hospitalized, recovered, and Ebola-induced death classes. The model incorporates important epidemiological factors such as hospitalization, recovery, disease-induced mortality, and quarantine-related interventions. The study concludes that timely intervention strategies and strict public health measures are effective tools for mitigating the spread of Ebola Virus Disease. The developed model provides useful insights for policymakers, epidemiologists, and public health authorities in planning and implementing effective disease control programs.

Vulnerability Assessment of Drought over Borno State, Nigeria using Geospatial Technique

Wed, 30 Oct 2024 00:00:00 GMT

Title: Vulnerability Assessment of Drought over Borno State, Nigeria using Geospatial Technique Authors: BABA, M.; ATTAHIRU, I. M.; MUSA, W. A.; ZITTA, N.; WAZIRI, ALIYU MAHMOOD Abstract: Nigeria is experiencing unfriendly climate condition which has a negative impact on the welfare of millions of people. The need to assess the vulnerability of drought across areas in Nigeria, especially in the Sudan and Sahel region is timely. This study investigated the effectiveness of remote sensing-based drought assessment, examined the relations between rainfall and vegetation indices and identified the most drought vulnerable areas using remote sensing (RS) and GIS in Borno State. Landsat images of years 2010, 2015 and 2020 were downloaded from USGS site. Geometric and atmospheric corrections were performed to adjust the terrain displacement and improve the reflective properties of the image data. Normalized Difference Vegetation Index (NDVI) and Normalized Condition Index (NCI) data were performed on the satellite images. Result of this study indicates NDVI, for the three epochs recorded; non-vegetation as 0.6%, 9.61% and 17.13%. Shrub/Grass was 96.6%, 82.50% and 78.34%, dense vegetation was 2.8%, 9.4% and 4.53%. The drought analyses of (NCI) recorded the following; extreme drought 2.3%, 6.06%, 9.99%, severe drought; 2.52%, 13.54%, 28.5%, Moderate drought: 69.1%, 52.6%, 41.64%, No drought: 4.34%, 3.44%, 3.34% while wet drought: 21.7%, 24.4% and 18.43%. At 95% significance level, the extreme drought indicates an increase trend pattern of about 1.8%, the moderate drought indicates a decreasing trend pattern about 9.4% while the severe drought indicated an increasing trend of about 5.3%. Climate parameters (Rainfall and temperature) were used to validate the outcome of NDVI and NCI. The findings indicated that the study area is highly prone to drought, which has affected the agricultural sector and land conservation of the state. Hence, the authority responsible for the state environment management should put in place strategies that can enhance water efficiency, improve resilience and reduce drought vulnerability.