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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 by experts published in Nature
2011-06-02

 
The members of the research group are, from the left, front: Christelle van Rooyen, Mariana Erasmus, Prof. Esta van Heerden; back: Armand Bester and Prof. Derek Litthauer.
Photo: Gerhard Louw

A  research article on the work by a team of experts at our university, under the leadership of Prof. Esta van Heerden, and counterparts in Belgium and the USA has been published in the distinguished academic journal Nature today (Thursday, 2 June 2011).

The article – Nematoda from the terrestrial deep subsurface of South Africa – sheds more light on life in the form of a small worm living under extreme conditions in deep hot mines. It was discovered 1,3 km under the surface of the earth in the Beatrix Goldmine close to Welkom and is the first multi-cellular organism that was found so far beneath the surface of the earth. The worm (nematode) was found in between a rock face that is between 3 000 and 12 000 years old.

The research can shed some new light on the possibility of life on other planets, previously considered impossible under extreme conditions. It also expands the possibilities into new areas where new organisms may be found.

These small invertebrates live in terrestrial soil subjected to stress almost for 24 hours They live through sunshine, rain, scorching temperatures and freezing conditions. Through time they developed a means to cope with harsh conditions. Terrestrial nematodes (roundworms, not to be confused or related to earthworms) are among those very tough small invertebrates that deal with those conditions everywhere. After insects they are the most dominant multi-cellular (metazoan) species on the planet having a general size of 0,5 to 1 mm and are among the oldest metazoans on the planet, Nature says in a statement on the article.

They inhabit nearly every imaginable habitat form the deep seas to the acid in pitcher . Some nematodes simply eat bacteria and these are the ones we study here. Terrestrial nematodes have developed a survival stage that can take them through hard times (absence of food, extreme temperatures, too little oxygen, crowding, and more).

At the head of the research was Prof. Gaetan Borgonie of the Ghent University in Belgium and a world leader in the discipline of nematode research. He was brought into contact with the South African research leader, Prof. Esta van Heerden, who set up a cooperation agreement with the University of Ghent and Prof. Borgonie. Prof. Van Heerden manages the Extreme Biochemistry group at the UFS and the research was funded by several research grants.

The search for worms began in earnest in 2007, but it was soon clear that the sampling strategy was insufficient. A massive sampling campaign in 2008-2009 in several mines led to the discovery of several nematodes and the new nematode species Halicephalobus mephisto. It is named after the legend of Faust where the devil, also known as the lord of the underworld is called Mephistopheles.

Nature says special filters had to be designed and installed on various boreholes. Unfortunately, there is no easy way of finding a magic formula and designs had to be adapted by trial and error; improving existing designs all the time. The work of the UFS Mechanical Workshop, which manufactured, adapted and helped design it, was crucial in this respect. Filters were left on the holes for varying periods, sometimes for a few hours and sometimes for months. Prof. Derek Litthauer from the UFS played a big role in sampling, filter designs and coming up with ideas for names for the new nematode with Prof. Borgonie.

Research showed that the nematodes can live in the deep for up to 12 000 years. Three students – Armand Bester, Mariana Erasmus and Christelle van Rooyen from the UFS – did the work on this.

The importance of multi-cellular animals living in the ultra-deep subsurface is twofold: The nematodes graze on the existing bacterial population and influence their turnover. Secondly, if more complex multi-cellular organisms can survive in the deep subsurface on earth, this may be good news when looking for life on other planets where the surface is considered too inhospitable (e.g. Mars). Complex life forms can be found in ecosystems previously thought to be uninhabitable. Nature says this expands the possibilities into new areas where new organisms may be discovered.

Future research will focus on selective boreholes to look for more metazoans, so that a better idea of the complexity of the ecosystems there can be obtained. It will also look for metazoans in the deep subsurface on other continents to determine similarities and differences.

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