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07 September 2018 Photo Stephen Collett
Mathematician makes popular contribution to science Prof Atangana
Prof Atangana is the first African under 40 years of age to be selected as African Academic of Science affiliated in Mathematics. He recently delivered his inaugural lecture and is pictured with Eelco Lukas, Director of the Institute for GroundwaterStudies at the UFS (middle) and Prof Hendri Kroukamp, Acting Vice-Rector: Academic

Prof Abdon Atangana, researcher in the Institute for Groundwater Studies at the University of the Free State (UFS), recently delivered his inaugural lecture on the topic: Understanding God’s Nature with Non-Local Operators.

His research interests are methods and applications of partial and ordinary differential equations, fractional differential equations, perturbation methods, asymptotic methods, iterative methods, and groundwater modelling. Prof Atangana is the founder of the fractional calculus with non-local and non-singular kernels popular in applied mathematics today. He has introduced more than 12 mathematical operators, most of which bear his name (such as the Atangana-Baleanu fractional integral).

He stated: “We will not stop until we change the classical view of doing mathematics. Mathematics is not a subject but a tool given to mankind by God to understand nature. One single mathematical operator cannot portray God’s nature accurately. Therefore the Atangana Baleanu was suggested.”

New weapons

Most physical problems can be expressed in terms of mathematical formulations called differential equations. According to him the differential equation’s aim is to analyse, understand, and predict the future of a physical problem. Prof Atangana introduced the Atangana-Baleanu fractional integral. This brought new weapons into applied mathematics to model complex real-world problems more accurately.

Prof Atangana explained: “The Atangana-Baleanu fractional derivative is able to describe real-world problems with different scales, or problems that change their properties during time and space for instance, the spread of cancer, the flow of water within heterogeneous aquifers, movement of pollution within fractured aquifers, and many others. This crossover behaviour is observed in many empirical systems.”

Sudden change

The Atangana-Baleanu fractional derivative is also able to describe physical or biological phenomena, such as a heart attack, the physiological progression from life to death, structural failure in an aeroplane, and many other physical occurrences with sudden change with no steady state.

The new differential and integral operators are nowadays in fashion and are being applied with great success in many fields to model complex natural phenomena. It is believed that the future of modelling complex real-world problems relies on these non-local operators.

News Archive

Game farming a lens to analyse challenges facing democratic SA – Dr Kamuti
2017-05-30

 Description: Dr Kamuti Tags: Dr Kamuti

Dr Tariro Kamuti, Postdoctoral Fellow at the Centre
for Africa Studies at the University of the Free State.
Photo: Rulanzen Martin

One of the challenges facing South Africa’s developing game farming policy is the fractured state in the governance of the private game farming sector, says Dr Tariro Kamuti.

Dr Kamuti, a Postdoctoral Research Fellow at the Centre for Africa Studies (CAS) at the University of the Free State (UFS), was presenting a seminar on Wednesday 17 May 2017 under the topic, Private Wildlife Governance in a Context of Radical Uncertainty: Challenges of South Africa’s Developing Game Farming Policy, which takes material from his PhD. He received his PhD from both the Vrije University in Amsterdam and the UFS in 2016.

His presentation explored how the private game industry positions itself in accordance with existing agricultural and environmental regulations. It also investigated the state’s response to the challenge of competing needs over land and wildlife resources which is posed by the gaming sector. “The transformation of the institutional processes mediating governance of the private game farming sector has been a long and enduring arrangement emerging organically over time,” Dr Kamuti said.

Game farming links wildlife and agricultural sectors
“I decided on this topic to highlight that game farming links the wildlife sector (associated with conservation and tourism) and the agricultural sector. Both make use of land whose resources need to be sustainably utilised to meet a broad spectrum of needs for the diverse South African population.

“The continuous skewed ownership of land post-1994 justifies questioning of the role of the state in confronting challenges of social justice and transformation within the economy.”

“Game farming can thus be viewed as a lens through which to study the broad challenges facing a democratic South Africa, and to interrogate the regulatory and policy framework in the agricultural and wildlife sectors at their interface,” Dr Kamuti said.

Challenges facing game farming policies

The state alone does not apply itself to the regulation of private gaming as a sector. “There is no clear direction on the position of private game farming at the interface of environmental and agricultural regulations, hence game farmers take advantage of loopholes in these institutional arrangements to forge ahead,” Dr Kamuti said.

He further went on to say that the state lacked a coherent plan for the South African countryside, “as shown by the outstanding land restitution and labour tenant claims on privately owned land earmarked for wildlife production”.

The South African government was confronted with a context in which the status quo of the prosperity of the middle classes under neoliberal policies was pitted against the urgent need to improve the material well-being of the majority poor.  Unless such issues were addressed, this necessarily undermined democracy as a participatory social force, Dr Kamuti said.

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