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Prof Abdon Atangana develops new concept to test Ebola waves

05 September 2022 | Story Andrè Damons | Photo Andrè Damons

With a new outbreak of the Ebola Virus Disease (EVD) reported this year in Democratic Republic of the Congo (DRC) – the 14th EVD outbreak in the country – researchers at the University of the Free State (UFS) introduced a new concept that can be used to test whether the spread will have one or several waves. They believe the focus should be to identify the source or the hosts of this virus for it to be a complete eradication.

According to the Centers for Disease Control and Prevention (CDC), the Ministry of Health in the Democratic Republic of the Congo (DRC) declared an outbreak of Ebola in Mbandaka health zone, Equateur Province on April 23, 2022. EVD, formerly known as Ebola haemorrhagic fever, is a severe, often fatal illness affecting humans and other primates. The virus is transmitted to people from wild animals (such as fruit bats, porcupines and non-human primates) and then spreads in the human population through direct contact with the blood, secretions, organs or other bodily fluids of infected people, and with surfaces and materials (e.g. bedding, clothing) contaminated with these fluids, according to the World Health Organisation (WHO).

Prof Abdon Atangana, Professor of Applied Mathematics in the Institute for Groundwater Studies (IGS), says existing mathematical models are used to first fit collected data and then predict future events. Predictions help lawmakers to take decisions that will help protect their citizens and their environments. The outbreaks of COVID-19 and other infectious diseases have exposed the weakness of these models as they failed to predict the number of waves and in several instances; they failed to predict accurately day-to-day new infections, daily deaths and recoveries.

Solving the challenges of the current models

In the case of COVID-19 in South Africa, it is predicted that the country had far more infections than what was recorded, which is due to challenges faced by the medical facilities, poverty, inequality, and other factors. With Ebola in the DRC, data recorded are not far from reality due to the nature of the virus and its symptoms. However, the predictions show although some measures have been put in place in DRC and other places where the Ebola virus spread, they will still face some challenges in the future, as the virus will continue to spread but may have less impact.

“To solve the challenges with the current models, we suggested a new methodology. We suggested that each class should be divided into two subclasses (Detected and undetected) and we also suggested that rates of infection, recovery, death and vaccination classes should be a function of time not constant as suggested previously. These rates are obtained from what we called daily indicator functions. For example, an infection rate should be obtained from recorded data with the addition of an uncertain function that represents non-recorded data (Here more work is still to be done to get a better approximation).

“I introduced a new concept called strength number that can be used to test whether the spread will have one or several waves. The strength number is an accelerative force that helps to provide speed changes, thus if this number is less than zero we have deceleration, meaning there will be a decline in the number of infections. If the number is positive, we have acceleration, meaning we will have an increase in numbers. If the number is zero, the current situation will remain the same,” according to Prof Atangana.

To provide better prediction, he continues, reliable data are first fitted with the suggested mathematical model. This helps them to know if their mathematical model is replicating the dynamic process of the spread. The next step is to predict future events, to do this, we create three sub-daily indicator functions (minimum, actual, and maximum). These will lead to three systems, the first system represents the worst-case scenario, the second is the actual scenario, and the last is a best-case scenario.

Virus will continue to spread but with less impact

Using this method, Prof Atangana, a highly cited mathematician for the years 2019-2021, says he and Dr Seda Igret Araz, postdoctoral student, were able to predict that, although some measures have been put in place in DRC and other places where the Ebola virus spreads, they will still face some challenges in the future as the virus will continue to spread but may have less impact.

To properly achieve the conversion from observed facts into mathematical formulations and to address these limitations, he had to ask fundamental questions such as what is the rate of infection, what is the strength of the infection, what are the crossover patterns presented by the spread, how can day-to-day new infected numbers be predicted and what differential operator should be used to model a dynamic process followed by the spread?

This approach was tested for several infectious diseases where we present the case of Ebola in Congo and Covid-19 in South Africa.

News Archive

MBA Programme - Question And Answer Sheet - 27 May 2004

2004-05-27

1. WHAT MUST THE UNIVERSITY OF THE FREE STATE (UFS) DO TO GET FULL ACCREDITATION FOR THE MBA PROGRAMMES?

According to the Council on Higher Education’s (CHE) evaluation, the three MBA programmes of the UFS clearly and significantly contribute to students’ knowledge and skills, are relevant for the workplace, are appropriately resourced and have an appropriate internal and external programme environment. These programmes are the MBA General, the MBA in Health Care Management and the MBA in Entrepreneurship.

What the Council on Higher Education did find, was a few technical and administrative issues that need to be addressed.

This is why the three MBA programmes of the UFS received conditional accreditation – which in itself is a major achievement for the UFS’s School of Management, which was only four years old at the time of the evaluation.

The following breakdown gives one a sense of the mostly administrative nature of the conditions that have to be met before full accreditation is granted by the CHE:

a. A formal forum of stakeholders: The UFS is required to establish a more structured, inclusive process of review of its MBA programmes. This is an administrative formality already in process.

b. A work allocation model: According to the CHE this is required to regulate the workload of the teaching staff, particularly as student numbers grow, rather than via standard management processes as currently done.

c. Contractual agreements with part-time staff: The UFS is required to enter into formal agreements with part-time and contractual staff as all agreements are currently done on an informal and claim-basis. This is an administrative formality already in process.

d. A formal curriculum committee: According to the CHE, the School of Management had realised the need for a structure – other than the current Faculty Board - where all MBA lecturers can deliberate on the MBA programmes, and serve as a channel for faculty input, consultation and decision-making.

e. A system of external moderators: This need was already identified by the UFS and the system is to be implemented as early as July 2004.

f. A compulsory research component: The UFS is required to introduce a research component which will include the development of research skills for the business environment. The UFS management identified this need and has approved such a component - it is to take effect from January 2005. This is an insufficient element lacking in virtually all MBA programmes in South Africa.

g. Support programmes for learners having problems with numeracy: The UFS identified this as a need for academic support among some learners and has already developed such a programme which will be implemented from January 2005.

The majority of these conditions have been satisfied already and few remaining steps will take effect soon. It is for this reason that the UFS is confident that its three MBA programmes will soon receive full accreditation.

2. WHAT ACCREDITATION DOES THE UFS HAVE FOR ITS MBA PROGRAMME?

The UFS’s School of Management received conditional accreditation for its three MBA programmes.

Two levels of accreditation are awarded to tertiary institutions for their MBA programmes, namely full accreditation and conditional accreditation. When a programme does not comply with the minimum requirements regarding a small number of criteria, conditional accreditation is given. This can be rectified during the short or medium term.

3. IS THERE ANYTHING WRONG WITH THE ACADEMIC CORE OF THE UFS’s MBA PROGRAMMES?

No. The UFS is proud of its three MBA programmes’ reputation in the market and the positive feedback it receives from graduandi and their employers.

The MBA programmes of the UFS meet most of the minimum requirements of the evaluation process.

In particular, the key element of ‘teaching and learning’, which relates to the curriculum and content of the MBA programmes, is beyond question. In other words, the core of what is being taught in our MBA programmes is sound.

4. IS THE UFS’s MBA A WORTHWHILE QUALIFICATION?

Yes. Earlier this year, the School of Management – young as it is - was rated by employers as the best smaller business school in South Africa. This was based on a survey conducted by the Professional Management Review and reported in the Sunday Times Business Times, of 25 January 2004.

The UFS is committed to maintaining these high standards of quality, not only through compliance with the requirements of the CHE, but also through implementing its own quality assurance measures.

Another way in which we benchmark the quality of our MBA programmes is through the partnerships we have formed with institutions such as the DePaul University in Chicago and Kansas State University, both in the US, as well as the Robert Schuman University in France.

For this reason the UFS appreciates and supports the work of the CHE and welcomes its specific findings regarding the three MBA programmes.

It is understandable that the MBA review has caused some nervousness – not least among current MBA students throughout the country.

However, one principle that the UFS management is committed to is this: preparing all our students for a world of challenge and change. Without any doubt the MBA programme of the UFS is a solid preparation.

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