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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

UFS institute set to contribute to transformation in South Africa

2011-01-23

The UFS launches it's new International Institute for Studies in Race, Reconciliation and Social Justice.
- Photo: Dries and Henco Myburgh

Today (Thursday, 27 January 2011), almost three years after the Reitz affair, the University of the Free State (UFS) is launching its International Institute for Studies in Race, Reconciliation and Social Justice. This international institute will be inaugurated by Archbishop Emeritus Desmond Tutu, Nobel Peace Prize Laureate and Chairperson of the former Truth and Reconciliation Commission, who received an honorary doctorate in Theology from the university earlier today.

According to Mr John Samuel, Interim Director of the institute and former Chief Executive Officer of the Nelson Mandela Foundation, the institute seeks to establish itself as a premier international site for research on race, reconciliation and social justice.

“It is encouraging to see the UFS bringing to the fore such an initiative, which combines a study in race, reconciliation and social justice, all of which are indispensible elements in the process of rebuilding our nation,” said the Deputy President of South Africa, Mr Kgalema Motlanthe, in his message of congratulations to the university.

“I am confident that on the strength of its stature, coupled with its eminent experience as an academic institution, the UFS will further assist our country advance towards a united, non-racial, non-sexism, just and prosperous future.

“I wish the institute well in its arduous but noble task of contributing to the building of a better human society,” he said.

Prof. Jonathan Jansen, Vice-Chancellor and Rector, stated during his official inauguration in 2009 that the university would be an example of a place where reconciliation, forgiveness and social justice would not only be studied, but where it would also be applied in practice. “Students and scholars from across the world will come to the UFS to study the theory and practice about the building of societies across the boundaries of race, as well as religion, gender, disabilities and national origin,” Prof. Jansen said.

The institute is a critical space where engaged scholarship, public discussion, community engagement and teaching are innovatively integrated towards exploring and finding solutions to the complex and challenging work of social transformation in South Africa.

The institute furthermore works towards the realisation of its mission through a multiplicity of approaches and methods, informed by the notion that deep and complex social challenges require courageous and challenging scholarship, supported by innovative organisational forms and institutional arrangements.

Working from the inside to the outside, the institute will firstly serve the needs of the university, its staff and students. Through its research, the institute will endeavour to understand the challenges facing the UFS better, as well as how to address these challenges. For this reason, the concept of the UFS as a “live laboratory” and the use of evidence-based practice remain important for the university.

The institute will also reach out and empower its stakeholder communities through research and ongoing involvement on issues of race, reconciliation and social justice. Furthermore the institution expects to contribute to the creation of national and international networks and dialogue platforms pertaining to race, reconciliation and social justice.

For the first five years, the themes of 1) Values, Faith and Social Justice; 2) Development and Social Cohesion; 3) Teaching and Learning for Social Justice; and 4) Provincial, National, Global Perspectives and Leadership will direct the institute’s work.

The UFS will make a substantial contribution to the pursuit of reconciliation, greater social cohesion and equity in South Africa. The university is thus prepared to continue to engage the difficult, practical and trying work of building a strong, quality institution as it promotes racial healing and addresses the structural imbalances of the past. It is at this nexus that the institute commits to enabling change at the university as well contributing to transformation in South Africa.

Deputy President Kgalema Motlanthe's message of support to the University of the Free State (PDF format)

Media Release
27 January 2011
Issued by: Lacea Loader
Director: Strategic Communication (actg)
Tel: 051 401 2584
Cell: 083 645 2454
E-mail: news@ufs.ac.za

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