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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

Ensure your place at the UFS

2010-10-27

The University of the Free State (UFS) appeals to all prospective South African students who want to come and study at the UFS in 2011 to submit their applications no later than Tuesday, 30 November 2010.

The UFS is aware of the fact that learners will not have received their final Grade 12 results by Tuesday, 30 November 2010; therefore provisional admission will be granted based on learners’ most recent Grade 12 results. Final admission will take place upon receipt of the final Grade 12 results, which will be available early in January 2011.

Prospective students can obtain application forms for admission at the following places:

The UFS’s web site at www.ufs.ac.za,
The Information Office (Unit for Prospective Students) at the Thakaneng Bridge on the UFS’s Main Campus in Bloemfontein,
You may also send an e-mail to info@ufs.ac.za or
Phone 051 401 3000 and the necessary forms will be posted to you.

Senior undergraduate students (that is all students who were registered up to and during 2010 at the UFS) as well as post-graduate students, must self-register electronically on-line from Monday, 1 November 2010 until Tuesday, 4 January 2011. This includes master’s and doctoral students.

In order to encourage senior students to register online, the UFS offers 20 laptops as incentives for the senior students who successfully register online from 1 November 2010. These laptops will be handed over to the winners after the registration process in 2011.

Registration of first-year students:

The Rector and Vice-Chancellor, Prof. Jonathan Jansen, will welcome first-year students on Friday, 14 January and Saturday, 15 January 2011, respectively, in the Callie Human Centre. The Faculties of Economic and Management Sciences, the Humanities and Education will be welcomed on 14 January 2011 and the students of the Faculties of Natural and Agricultural Sciences, Law and Theology shall be welcomed on 15 January 2011. The compulsory orientation programme for new first-years will also then commence.

From 17 to 21 January 2011 first-year students will receive academic advice at the Callie Human Centre, whereafter they will be referred for self-registration. These processes will take place according to the set timetable. This timetable is available in the Kovsie Guide that will be sent to learners as soon as we have received their applications, as well as on the web site of the UFS at www.ufs.ac.za/register2011.

First-year students’ fees must be paid prior to arrival on 14 and 15 January 2011.

Registration of senior students:

Senior students who experience problems with the electronic on-line self-registration process have the opportunity to resolve problems within a programme on campus from Wednesday, 5 January until Wednesday, 12 January 2011. This programme will be sent out to students and is also available at www.ufs.ac.za/register2011. The specific scheduled day for senior students to resolve problems is the last and only day to resolve the problem.

Senior students can also contact 051 401 9111 for more information in this regard.

Students may register for prescribed modules for 2011, even though the November 2010 examination results are not yet available. Changes resulting from examination results that are made available later can be done up to and including 28 January 2011.

In terms of applications for senior students, only students who have interrupted a calendar year of study need to re-apply for admission.

Registration of students at the UFS’s Qwaqwa Campus:

Senior and first-year students of the UFS’s Qwaqwa Campus register from Wednesday, 12 January until Friday, 28 January 2011 in the Nelson Mandela Hall on this campus.

Registration of students at the UFS South Campus:

First-year students from the UFS’s South Campus in the University Preparation Programme and the Extended Programme (only Natural and Agricultural Sciences) register from Monday, 24 January till Friday, 28 January 2011 in the Arena Hall on the South Campus.

Students who have successfully completed the University Preparation Programme register with the first-year students on the UFS Main Campus on Friday, 14 and Saturday, 15 January 2011 – according to faculties (cf. paragraph 6).

Lectures for all students shall commence on Monday, 24 January 2011.

MEDIA RELEASE
Issued by: Lacea Loader
Director: Strategic Communication (actg)
Tel: 051 401 2584
Cell: 083 645 2454
E-mail: loaderl@ufs.ac.za
26 October 2010

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