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05 September 2022 | Story Andrè Damons | Photo Andrè Damons
Prof Abdon Atangana
Prof Abdon Atangana, Professor of Applied Mathematics in the Institute for Groundwater Studies (IGS) and a highly cited mathematician for the years 2019-2021, says existing mathematical models are used to first fit collected data and then predict future events. It is for this reason he introduced a new concept that can be used to test whether the spread will have one or several waves.

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

Situation on the Bloemfontein Campus, and letter to parents
2016-02-28

Letter to parents from Prof Jonathan Jansen, Vice-Chancellor and Rector of the UFS 

 

Statement by Prof Jonathan Jansen, Vice-Chancellor and Rector of the University of the Free State (UFS) about the situation on the Bloemfontein Campus


1.    As all of you know, last night we witnessed a really tragic event at Xerox Shimla Park on the Bloemfontein Campus on the occasion of the Varsity Cup rugby match between NMMU (FNB Madibaz) and UFS (FNB Shimlas).
2.    The game started at 18:30 and about 17 minutes into the match, a group of protestors sitting on the north-eastern side of the stadium decided to invade the pitch and disrupt the game in progress.
3.    After a short while, some of the spectators also invaded the field, chasing and brutally beating those protestors whom they caught.
4.    As a university leadership we condemn in the strongest terms possible the vicious attack on the protestors. Nobody, repeat nobody, has the right to take the law into their own hands. While the protests were illegal and disruptive, it did not harm to the physical well-being of the spectators.
5.    The reaction from the group of spectators, however, not only opened old wounds, it trampled, literally and figuratively, on the dignity and humanity of other human beings. This we condemn in no uncertain terms, and no stone will be left unturned to find those who acted so violently on what should have been a beautiful occasion that also brought families and young children together to enjoy an evening of sport.
6.    I cannot over-emphasise our level of disgust and dismay at the behaviour of the spectators. It is NOT what the University of the Free State (UFS) is about and we are working around the clock to gather evidence on the basis of which we will pursue both charges and, in the case of students, also disciplinary action on campus.
7.    At the same time, the invasion of the pitch is also completely unacceptable and we will seek evidence on the basis of which we will act against those who decided to disrupt an official university event.
8.    Clashes between students occurred afterwards on campus and members of the Public Order Policing had to disperse some of them. The situation was stabilised in the early hours of the morning.
9.    Disruption continued this morning (23 February 2016) when students damaged some university buildings, a statue, and broke windows. Additional reinforcements from the South African Police Service were brought in to stabilise the campus. Additional security has also been deployed.


Broader picture
10.    We are very aware of the national crisis on university campuses and the instability currently underway. While the UFS has been largely peaceful, we have not been spared this turmoil, as last night’s events showed.
11.    We are also conscious of the fact that even as we speak, various political formations are vying for position inside the turmoil in this important election year. In fact, part of the difficulty of resolving competing demands is that they come from different political quarters, and change all the time.
12.    We are therefore learning from reliable sources that the Varsity Cup competition is, in fact, a target of national protests in front of a television audience.
13.    And we are aware of the fact that these protests are not only led by students but also by people from outside who have no association with the university. Just as the violent spectators involved on Monday night also included people from outside the university.

The demands

14.    My team has worked around the clock to try to meet the demands of contract workers demanding to be in-sourced. In fact, this weekend past, senior colleagues sat with worker leaders in the township to try to find ways of meeting their demands. We were hoping that such an agreement would be finalised by Monday afternoon (22 February 2016), but on the same Monday morning workers and students were arrested after moving onto Nelson Mandela Avenue, after which the South African Police Service (SAPS) took over as the matter became a public safety concern outside the hands of the university. Since then, it was difficult to return the workers to settle on a possible agreement.
15.    The fact is that the UFS has been in constant negotiation with contract workers to provide our colleagues with a decent wage and certain benefits. In fact, towards the end of last year we raised the minimum wage from R2 500 to R5 000. We were in fact hoping that the continued negotiations would improve that level of compensation even as we looked at a possible plan for insourcing in the future. We made it clear that if we could insource immediately, we would, but that the financial risk to the university was so great that it threatened the jobs of all our staff. Those negotiations were going well, until recently, when without notice the workers broke away and decided to protest on and around campus.
16.    While these negotiations were going on, the Student Representative Council (SRC) on Monday 22 February 2016 also decided to protest. While the vast majority of our 32 000 students were in classes and determined to get an education, a very small group led by the SRC President decided to protest; some invaded the UFS Sasol Library and the computer centre, and with the President eventually made their way to Xerox Shimla Park on which route they confronted the police, interrupted traffic and in fact injured some of our security staff as well as police officials.
17.    The university is definitely proceeding to collect evidence on these illegal and violent acts and will also act firmly against students involved in these protests.

Summary
18.    The events of Monday night represent a major setback for the transformation process at the UFS. While we have made major progress in recent years—from residence integration to a more inclusive language policy to a core curriculum to very successful ‘leadership for change’ interventions for student leaders—we still have a long way to go.
19.    One violent incident on a rugby field and we again see the long road ahead yet to be travelled. As I have often said before, you cannot deeply transform a century-old university and its community overnight. We acknowledge the progress but also the still long and difficult path ahead. We will not give up.
20.    We have 32 000 students on our campuses; the overwhelming majority of them are decent and committed to building bridges over old divides as we have seen over and over again. So many of our students, black and white, have become close and even intimate friends working hard to make this a better campus and ours a better community and country. Like all of us, they are gutted by what they saw on Monday, but the hundreds of messages I received from parents, students, and alumni this past 20 hours or so said one thing—keep on keeping on. And we will.

 

The Big Read: An assault on transformation (Times Live kolom deur Prof Jonathan Jansen: 25 Februarie 2016)

 

 

 


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