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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

Statement on protest at the UFS

2005-03-04

Following a protest by student and non-student organisations today, the management of the University of the Free State (UFS) would like to place the following facts on record:

1. There is a well-documented process underway to further transform the UFS. At the official opening of the UFS on 4 February 2005 , the Rector and Vice-chancellor, Prof Frederick Fourie, announced that the UFS would draft a comprehensive Transformation Plan to guide the next phase of transformation at the institution.

The UFS appeals to student formations, staff associations, trade unions and other role-players to make a constructive input into this Transformation Plan.

The UFS management has been - and always will be - willing to engage with role-players and is prepared to do so even after today’s protest.

2. There is thus no regulation or policy prescription which separates students in hostels according to race.

The reality is that students exercise their freedom of choice as to which hostel they wish to be placed in. This was agreed upon by black and white students in 1997/8.

However, the unintended consequence and practice of this hostel placement policy has been that students themselves have tended to choose to stay in hostels which have over time become black hostels and white hostels.

This is a matter of concern for the management of the UFS as such a situation does not promote interaction across language, cultural and socio-economic groupings of students.

This matter is receiving attention and an intensive consultative process, which will include students, will be launched to review this policy.

The management is convinced that such interaction will enhance the learning experience of all students and sensitise them to the reality of a multicultural South Africa and a multicultural world.

3. No student organisation has been banned from operating at any of the three campuses of the UFS.

In the past few weeks, SASCO, the Young Communist League and the ANC Youth League (ANCYL) have held meetings on all three campuses, namely the Qwaqwa campus, the Vista campus and the main campus.

There are also regular interactions between top management and the leadership of SASCO and the ANCYL on campus.

In fact, the UFS upholds the right of students and staff to associate freely and to organise themselves as they see fit.

The UFS also upholds the rights of staff and students to engage in legal and peaceful protests.

The management however remains committed to discussing issues that affect staff and students in a constructive manner and appeals to student organisations in this case to engage with management.

4. The issues of registration, fees, debt and financial aid are continually monitored, and interventions to assist students are made regularly. To assist as far as possible those academically deserving students who face financial difficulties, the UFS management has put in place a structure called the Monitoring committee that includes management and student representatives.

The purpose of the Monitoring Committee is to review the cases of individual students to determine how best they can be assisted.

This applies to the Qwaqwa campus, the Vista campus and the main campus.

It is generally the case that students who perform academically will not have any difficulty in obtaining financial assistance. However, according to the requirements of National Student Financial Scheme, students who perform poorly will have difficulty in obtaining such assistance.

5. With regard to student governance, the process to institute an inclusive Central Student Representative Council (SRC), on which all three campuses will be equitably represented, was launched in July 2004, and a preliminary constitution has just been drafted. At the same time an inclusive process to review certain elements of the constitution of the main campus SRC was initiated at the end of 2004. This process, which includes all relevant student organisations and structures, is planned to produce an outcome within the next couple of months.

6. There is no policy at the UFS that is based on racism or that discriminates on the basis of the race of students and staff.

As part of the building of a new institutional culture within the broader transformation process, the UFS management is determined to eradicate all elements of racism that may occur on its campuses, and has already instituted inclusive forums on campus to discuss the issue of values and principles for a non-racial university.

Issued by: Mr Anton Fisher
Director: Strategic Communication
Cell: 072 207 8334
Tel: (051) 401-2749
4 March 2005

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