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08 March 2022 | Story Andre Damons | Photo Sonia Small (Kaleidoscope Studios)
Prof Abdon Antangana
Prof Abdon Atangana, a Professor of Applied Mathematics in the Institute for Groundwater Studies at the University of the Free State (UFS) and South Africa’s top-ranked scientist in Mathematics, wants to prepare the next generation of African professors.

A new book written by Prof Abdon Atangana, Professor of Applied Mathematics at the Institute for Groundwater Studies at the University of the Free State (UFS), in collaboration with one of his students, on the flow of groundwater, suggests several new and modified models to better predict anomalous behaviours of the flow and the movement of pollution within complex geological formations.

Mathematical Analysis of Groundwater Flow Models is one of two books Prof Atangana published recently that he wrote with his students. The other, Fractional Stochastic Differential Equations: Applications to Covid-19 Modeling, provides a thorough conversation on the underpinnings of COVID-19 spread modelling. He wrote the book with a postdoctoral fellow, Dr Seda Araz Igret from SIIRT University, Turkey. Since 2016 he has published a total number of six books, some of which are still under evaluation by Springer and Elsevier.

Time to prepare next generation of African professors 

This highly cited researcher is excited about collaborating with his students on projects such as these as he feels it is time for him to prepare the way for the next generation of African professors. Prof Atangana is ranked at No 219 in the world rankings and No 1 in South Africa by Research.com, a leading academic platform for researchers. 

According to the platform, which recently released the 2022 Edition of its Ranking of Top 1000 Scientists in the field of Mathematics, the ranking is based on the H-index metric provided by Microsoft Academic and includes only leading scientists with an H-index of at least 30 for academic publications in the field of Mathematics.

“Both books are important for me because they are first-time published books with my own students. There is a time to prepare the way for yourself and a time to prepare ways for the next generation. It is time for me to prepare the way for the next generation of African professors. I wish that the next time this list (https://research.com/scientists-rankings/mathematics/za) [is released] many of my students [will] appear,” says Prof Atangana.

About his book with Dr Igret, he says it presents the dynamic of COVID-19 spread behaviour worldwide. It is noticed that the spread dynamic followed process with nonlocal behaviours, which resemble power law, fading memory, crossover, and stochastic behaviours. Fractional stochastic differential equations are therefore used to model spread behaviours in different parts of the world. 

“The content coverage includes a brief history of COVID-19 spread worldwide from December 2019 to September 2021, followed by statistical analysis of collected data for infected, death and recovery classes,” says Prof Atangana.

Mathematical analysis of Groundwater Flow Models serves as a valuable resource for graduate and PhD students as well as researchers working within the field of groundwater modelling, says Prof Atangana. It includes features such as:
• Modified numerical and analytical methods for solving new and modified models for groundwater flow and transport 
• New flow and transform models for groundwater transport in complex geological formations 
• Examination of fractal and crossover behaviours and their mathematical formulations

Top-ranking scientist 

Prof Atangana was also recently elected as a fellow of The World Academy of Sciences (TWAS) and received the World Academy of Sciences Award for Mathematics (TWAS -Mohammad A Hamdan, 2020) on 1 November 2021.

Very recently, he was also ranked No 1 in the world in Mathematics, No 186 in the world in all the fields, and No 1 in Africa in all the fields, according to the Stanford list of 2% single-year table.

He was also named among the top 1% of scientists on the global Clarivate Web of Science list. Fewer than 6 200 or 0.1% of the world’s researchers were included on this list in 2019, 2020 and 2021, with fewer than 10 of the scientists hailing from South Africa. 

“While my name is ranked No 1 in South Africa and No 219 in the world, this shows the impact of my research that has been done since 2013. It is worth noting that this ranking disadvantages younger researchers. For example, I got my first publication in 2013 but the researcher who was ranked No 1 started in 1972. To make the ranking fair, the total H-index should be divided by the number of years of publication. I am very proud to see that despite this disadvantage I am still topping in South Africa and am No 219 in the world.”

News Archive

Groundwater management vital for groundwater sustainability
2016-11-09

Description: Dr Yolanda Kotzé Tags: Dr Yolanda Kotzé

Dr Yolanda Kotzé, Affiliated Researcher in the
UFS Institute for Groundwater Studies, is passionate
about the management of groundwater.
Photo: Rulanzen Martin

An interest in groundwater resource management ignited the spark for a PhD research thesis by Dr Yolanda Kotzé, Affiliated Researcher in the Institute for Groundwater Studies (IGS) at the University of the Free State (UFS).

Her PhD research thesis titled, A Framework for Groundwater Use Authorisations as Part of Groundwater Governance in Water Scarce Areas within South Africa, was the result of her interest in groundwater resource management. Dr Kotzé identified the agricultural sector as one of the major water users, and a decision was made to conduct research within this sector.  

Research funded by Institute for Groundwater Studies
Groundwater is water found underground in cracks and spaces in soil, sand, and rocks. It is stored in, and moves slowly through geological formations of soil, sand, and rocks (aquifers). The National Department of Water and Sanitation was indirectly the client for this research. The research project was funded by the IGS. Given the current drought, effective groundwater resource management can be achieved within all sectors through sustainable abstraction and use without over-abstraction.

“Groundwater can be effectively managed
in the agricultural sector by sustainable use,
monitoring the quantity of groundwater use,
and measuring groundwater levels,”
said Dr Kotzé.

Research addresses improvement of groundwater management
Her promotor, mentor, teacher, and friend, the late Prof Gerrit van Tonder, introduced her to the field of Geohydrology, and especially to groundwater resource management. “With my research, I made a significant contribution to the improvement of groundwater governance and groundwater resource management, as well as to the handling of groundwater use authorisations for irrigation purposes in South Africa,” said Dr Kotzé. With this significant contribution, she attempts to address the phenomenon of poor groundwater allocation and groundwater resource management by means of a framework. The development of this framework has shown the value of action research in an attempt to find a solution to a problem. “Groundwater can be effectively managed in the agricultural sector by sustainable use, monitoring the quantity of groundwater use, and measuring groundwater levels,” said Dr Kotzé.

The methodology of the research consisted primarily of action research, which has a five-phase cyclical process. The research was Dr Kotzé’s application for a PhD in Geohydrology at the UFS in 2012. The research was completed in 2015.

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