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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

Death may come in adorable little packages
2015-03-23

The main host of the Lassa virus is the Natal Mulimammate mouse.

Photo: Supplied

Postdoctoral researcher, Abdon Atangana, of the Institute for Groundwater Studies at the university recently published an article online about the Lassa Haemorrhagic fever in the Natural Computing Applications Forum. In addition to the terminal transmissible sickness recognised as Ebola haemorrhagic fever, there is another strain called Lassa haemorrhagic fever.

The disease is classified under the arenaviridae virus family. The first outbreaks of the disease were observed in Nigeria, Liberia, Sierra Leone, and the Central African Republic. However, it was first described in 1969 in the town of Lassa, in Borno State, Nigeria.

The main host of the Lassa virus is the Natal Mulimammate mouse, an animal indigenous to most of Sub-Saharan Africa. The contamination in humans characteristically takes place through exposure to animal excrement through the respiratory or gastrointestinal tracts.

Mouthfuls of air containing tiny particle of infective material are understood to be the most noteworthy way of exposure. It is also possible to acquire the infection through broken skin or mucous membranes that are directly exposed to the infective material.

“The aim of my research was to propose a novel mathematical equation used to describe the spread of the illness amongst pregnant women in West Africa. To achieve this, I used my newly-proposed derivative with fractional order called beta-derivative. Since none of the commonly used integral transform could be used to derive the solution of the proposed model, I proposed a new integral transform called Atangana-Transform, and used it, together with some iterative technique, to derive the solution of the model.

“My numerical simulations show that the disease is as deadly amongst pregnant women as Ebola,” Abdon said.

Abdon’s research was submitted to one of Springer’s top-tier journals with an impact factor 1.78. The paper was accepted and published February 2015.

Read more about Abdon’s research.

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