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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

Research helps farmers save with irrigation
2017-02-15

Description: Irrigation research Tags: Irrigation research

Marcill Venter, lecturer in the Department of
Agricultural Economics at the University of the
Free State, has developed the mathematical
programming system, Soil Water Irrigation
Planning and Energy Management in order to
determine irrigation pump hours.
Photo: Rulanzen Martin

Her advice to farmers is that they should make sure they are aware of the total cost (investment and operating costs) of an irrigation system. In most cases the investment cost is low, but the operating cost over the lifetime of the system is high.

“It is very important to have a look at the total cost and to install the most economic system,” says Marcill Venter, lecturer at the University of the Free State (UFS), who has done research on the economic sustainability of water-pipe systems.

Irrigation systems important components for farming
This research comes at a time when many farmers are relying on their irrigation systems due to persistent drought and low rainfall during 2016. South Africa has also experienced an abnormal increase in electricity tariffs in recent years. Due to tariff increases which threaten the future profitability of irrigation producers, the Water Research Commission (WRC) has launched and financed a project on the sustainable management of irrigation farming systems. “I had the opportunity to work on the project as a researcher,” says Venter.

The heart of every irrigation system is the water pipes that bring life to crops and livestock, and this is what Venter’s research is about. “Water pipes are part of the whole design of irrigation systems. The design of the system impact certain factors which determine the investment and operating costs,” she says.

Mathematical system to help farmers
Venter and Professor Bennie Grové, also from the Department of Agricultural Economics at the UFS, designed the Soil Water Irrigation Planning and Energy Management (SWIP-E) programming model as part of the WRC’s project, as well as for her master’s degree. “The model determines irrigation pump hours through a daily groundwater budget, while also taking into account the time-of-use electricity tariff structure and change in kilowatt requirements arising from the main-line design,” says Venter. The model is a non-linear programming model programmed in General Algebraic Modeling System (GAMS).

Design of irrigation system important for sustainability

The main outcome of the study is that the time-of-use electricity tariff structure (Ruraflex) is always more profitable than the flat-rate structure (Landrate). The interaction between the management and design of a system is crucial, as it determines the investment and operating costs. Irrigation designers should take the investment and operating cost of a system into account during the design process. The standards set by the South African Irrigation Institute (SAII) should also be controlled and revised.

Water-pipe thickness plays major role in cost cuts
There is interaction between water-pipe thickness, investment and operating costs. When thinner water pipes are installed, it increases the friction in the system as well as the kilowatt usage. A high kilowatt increases the operating cost, but the use of thinner water pipes lowers the investment cost. Thicker water pipes therefore lower the friction and the kilowatt requirements, which leads to lower operating costs, but thicker pipes have a higher investment cost. “It is thus crucial to look at the total cost (operating and investment cost) when investing in a new system. Farmers should invest in the system with the lowest total cost,” says Venter.

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