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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

Twenty years of the constitution of South Africa – cause for celebration and reflection
2016-05-11

Description: Judge Azar Cachalia Tags: Judge Azar Cachalia

Judge Azar Cachalia

The University of the Free State’s Centre for Human Rights and the Faculty of Law held the celebration of the twentieth anniversary of the adoption of the South African Constitution on 11 May 2016 on the Bloemfontein Campus.  Students and faculty members celebrated and reflected on not only the achievements of the constitution but also on perspectives regarding its relevance in modern society, and to what extent it has upheld the human rights of all citizens of South Africa.

The panel discussion started with a presentation on the pre-1996 perspective by Judge Azar Cachalia of the Supreme Court of Appeal.  Judge Cachalia reflected on his role in the realisation and upholding of the constitution, from his days as a student activist, then as an attorney representing detainees during political turmoil, and currently as a judge: “My role as an attorney was to defend people arrested for public violence. My role as a judge today is to uphold the constitution.”  He stressed the importance of the constitution today, and the responsibility institutions such as the police service have in upholding human rights.  Judge Cachalia played a significant role in drafting the new Police Act around 1990, an Act which was to ensure that the offences perpetrated by the police during apartheid did not continue in the current democratic era. Further, he pointed out that societal turmoil has the potential to make society forget about the hard work that was put into structures upholding human rights. “Constitutions are drafted in moments of calm.  It is a living document, and we hope it is not torn up when we go through social conflict, such as we are experiencing at present.”

Thobeka Dywili, a Law student at the UFS, presented her views from the new generation’s perspective.  She relayed her experience as a student teaching human rights at schools in disadvantaged communities. She realised that, although the youth are quite aware of their basic human rights, after so many years of democracy, “women and children are still seen as previously disadvantaged when they should be equal”. She pointed out that, with the changing times, the constitution needs to be looked at with a new set of eyes, suggesting more robust youth engagement on topics that affect them, using technology to facilitate discussions. She said with the help of social media, it is possible for a simple discussion to become a revolution; #feesmustfall was a case in point.

Critical perspectives on the constitution were presented by Tsepo Madlingozi of University of Pretoria and University of London. In his view, the constitution has not affected policy to the extent that it should, with great disparities in our society and glaring issues, such as lack of housing for the majority of the poor.  “Celebration of the constitution should be muted, as the constitution is based on a decolonisation approach, and does not directly address the needs of the poor. The Constitutional Court is not pro-poor.”  He posed the question of whether twenty years on, the present government has crafted a new society successfully.  “We have moved from apartheid to neo-apartheid, as black elites assimilate into the white world, and the two worlds that exist have not been able to stand together as a reflection of what the constitution stands for.”

Prof Caroline Nicholson, Dean of the Faculty of Law, encouraged more open discussions, saying such dialogues are exactly what was intended by the Centre for Human Rights. She emphasised the importance of exchanging ideas, of allowing people to speak freely, and of sharing perspectives on important issues such as the constitution and human rights.

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