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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

In January 1, 2003, the Qwa-Qwa campus of the University of the North (Unin) was incorporated into the University of the Free State (UFS).

2003-02-07

FREDERICK FOURIE

IN January 1, 2003, the Qwa-Qwa campus of the University of the North (Unin) was incorporated into the University of the Free State (UFS).

While this is merely the beginning of a long and complex process, it does represent a major milestone in overcoming the apartheid legacy in education, realising the anti-apartheid goal of a single non-racial university serving the Free State.

The incorporation is also part of the minister's broader restructuring of the higher education landscape in South Africa - a process which aims to reshape the ideologically driven legacy of the past.

In contrast to the past educational and social engineering that took place, the current process of incorporating the Qwa-Qwa campus of Unin into the UFS is informed by three fundamentally progressive policy objectives, clearly outlined in the education white paper 3: (A framework for the transformation of higher education):

To meet the demands of social justice to address the social and structural inequalities that characterise higher education.

To address the challenges of globalisation, in particular the role of knowledge and information processing in driving social and economic development.

To ensure that limited resources are effectively and efficiently utilised, given the competing and equally pressing priorities in other social sectors.

Besides informing the way the UFS is managing the current incorporation, these policy objectives have also informed the transformation of the UFS as an institution over the past five years.

In 2001, former president Nelson Mandela lauded the success of the UFS in managing this transformation, by describing the campus as a model of multiculturalism and multilingualism. This was at his acceptance of an honorary doctorate from the UFS.

Indeed our vision for the Qwa-Qwa campus as a branch of the UFS is exactly the same as it is for the main UFS campus - a model of transformation, academic excellence, community engagement and financial sustainability, building on the histories and strengths of both the Qwa-Qwa campus and the UFS (Bloemfontein campus).

Realising this vision will be a giant leap forward in establishing a unified higher education landscape in the Free State.

In more concrete terms, the UFS is working towards this vision by focusing on the following areas of intervention: access and equity; academic renewal; investment in facilities; and sound financial management.

These interventions are being made not to preserve any vestiges of privilege or superiority, but precisely to increase access for students from poor backgrounds and to promote equity and representivity among all staff.

The current growth phase of the UFS has seen student enrolment almost double over the past five years, in particular black students, who now constitute approximately 55 percent of the student population of nearly 18 000 (including off-campus and online students).

But it has not just been a numbers game. Our approach has been to ensure access with success.

Our admissions policy, coupled with the academic support and "career preparation" programmes we offer, have resulted in significant successes for students who otherwise would not have been allowed to study at a university.

This will be continued at Qwa-Qwa as well.

Our academic offerings too have undergone dramatic change. We have become the first university in the country to offer a degree programme based on the recognition of prior learning (RPL).

This is not just a matter of academic renewal but of access as well, especially for working adults in our country who were previously denied a university education.

As for the sound financial management of the UFS (including the Qwa-Qwa campus), this is being done not for the sake of saving a few rands and cents, but for the greater value to our society that comes from having sustainable institutions.

It is sustainable universities that can make long-term investments to fund employment equity, provide information technology for students, upgrade laboratories, construct new buildings, develop research capacity, and provide a safe environment for students and staff, as is happening now at the UFS.

As a result of such management, a practical benefit for prospective students at the Qwa-Qwa campus of the UFS will be lower academic fees in some cases compared with the Unin fees.

As is the case with all these processes, there are concerns from staff and students at Qwa-Qwa and the broader community of the region that the Qwa-Qwa campus serves.

To get the campus viable and to ensure its continuation in the short term, tough choices had to be made by the minister of education regarding which programmes to offer and fund.

But we have been encouraged by the community's understanding that these concerns can be addresed over time as the campus becomes financially viable.

Meetings between the top mangement of the UFS and community representatives, staff and students at Qwa-Qwa have laid the basis for building a climate of trust in such a complex process.

We should not be captives of the past divisions but build this new unified higher education landscape that can meet our country's developmental needs.

It should be a higher education landscape that is based on broadening access, promoting equity and social justice, developing academic excellence, and the effective and efficient management of scarce resources. This should be our common common objective.

Professor Frederick Fourie the rector and vice-chancellor of the University of the Free State (UFS)

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