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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

Inaugural lecture: Prof. Phillipe Burger
2007-11-26

 

Attending the lecture were, from the left: Prof. Tienie Crous (Dean of the Faculty of Economic and Management Sciences at the UFS), Prof. Phillipe Burger (Departmental Chairperson of the Department of Economics at the UFS), and Prof. Frederick Fourie (Rector and Vice-Chancellor of the UFS).
Photo: Stephen Collet

 
A summary of an inaugural lecture presented by Prof. Phillipe Burger on the topic: “The ups and downs of the South African Economy: Rough seas or smooth sailing?”

South African business cycle shows reduction in volatility

Better monetary policy and improvements in the financial sector that place less liquidity constraints on individuals is one of the main reasons for the reduction in the volatility of the South African economy. The improvement in access to the financial sector also enables individuals to manage their debt better.

These are some of the findings in an analysis on the volatility of the South African business cycle done by Prof. Philippe Burger, Departmental Chairperson of the University of the Free State’s (UFS) Department of Economics.

Prof. Burger delivered his inaugural lecture last night (22 November 2007) on the Main Campus in Bloemfontein on the topic “The ups and downs of the South African Economy: Rough seas or smooth sailing?”

In his lecture, Prof. Burger emphasised a few key aspects of the South African business cycle and indicated how it changed during the periods 1960-1976, 1976-1994 en 1994-2006.

With the Gross Domestic Product (GDP) as an indicator of the business cycle, the analysis identified the variables that showed the highest correlation with the GDP. During the periods 1976-1994 and 1994-2006, these included durable consumption, manufacturing investment, private sector investment, as well as investment in machinery and non-residential buildings. Other variables that also show a high correlation with the GDP are imports, non-durable consumption, investment in the financial services sector, investment by general government, as well as investment in residential buildings.

Prof. Burger’s analysis also shows that changes in durable consumption, investment in the manufacturing sector, investment in the private sector, as well as investment in non-residential buildings preceded changes in the GDP. If changes in a variable such as durable consumption precede changes in the GDP, it is an indication that durable consumption is one of the drivers of the business cycle. The up or down swing of durable consumption may, in other words, just as well contribute to an up or down swing in the business cycle.

A surprising finding of the analysis is the particularly strong role durable consumption has played in the business cycle since 1994. This finding is especially surprising due to the fact that durable consumption only constitutes about 12% of the total household consumption.

A further surprising finding is the particularly small role exports have been playing since 1960 as a driver of the business cycle. In South Africa it is still generally accepted that exports are one of the most important drivers of the business cycle. It is generally accepted that, should the business cycles of South Africa’s most important trade partners show an upward phase; these partners will purchase more from South Africa. This increase in exports will contribute to the South African economy moving upward. Prof. Burger’s analyses shows, however, that exports have generally never fulfil this role.

Over and above the identification of the drivers of the South African business cycle, Prof. Burger’s analysis also investigated the volatility of the business cycle.

When the periods 1976-1994 and 1994-2006 are compared, the analysis shows that the volatility of the business cycle has reduced since 1994 with more than half. The reduction in volatility can be traced to the reduction in the volatility of household consumption (especially durables and services), as well as a reduction in the volatility of investment in machinery, non-residential buildings and transport equipment. The last three coincide with the general reduction in the volatility of investment in the manufacturing sector. Investment in sectors such as electricity and transport (not to be confused with investment in transport equipment by various sectors) which are strongly dominated by the government, did not contribute to the decrease in volatility.

In his analysis, Prof. Burger supplies reasons for the reduction in volatility. One of the explanations is the reduction in the shocks affecting the economy – especially in the South African context. Another explanation is the application of an improved monetary policy by the South African Reserve Bank since the mid 1990’s. A third explanation is the better access to liquidity and credit since the mid 1990’s, which enables the better management of household finance and the absorption of financial shocks.

A further reason which contributed to the reduction in volatility in countries such as the United States of America’s business cycle is better inventory management. While the volatility of inventory in South Africa has also reduced there is, according to Prof. Burger, little proof that better inventory management contributed to the reduction in volatility of the GDP.

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