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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

An education system based on hope is what South Africa needs – Dr Beryl Botman
2016-05-26

Description: Hope revised Tags: Hope revised

Dr Beryl Botman, a postdoctoral research
fellow at the IRSJ, with Dr Willy Nel research associate
at the IRSJ and lecturer at the UFS
Faculty of Education.

HOPE is tangible and concrete construct that should be rooted in the learning and training of teachers,” said Dr Beryl Botman, a postdoctoral research fellow at the Institute for Reconciliation and Social Justice (IRSJ).

She presented her research paper Educators, praxis, and hope: A philosophical analysis of post-apartheid teacher education policy, based on the theoretical ideologies of Paulo Freire’s Pedagogy of the Oppressed. She explores ways in which oppression has been justified, and how it has been overcome through a mutual process between the oppressor and the oppressed, drawing on Paolo Freire’s theories and practices. The presentation was held at the University of the Free State’s (UFS) Faculty of Education, on the Bloemfontein campus on 13 May 2016.

From oppression to hope

Hope should be an educational construct for teacher education in South Africa. Dr Botman asserts that epistemology and ontology should be inseparable, as they are pivotal to an education system that is transformational.

The recent country-wide student protests and demonstrations are an indicant that education institutions need to seek understanding of mechanisms that fuel social conflict. Dr Botman claims that vast social inequalities make the process of democratisation difficult thus hindering transformation. She states that a critical consciousness is important for all South Africans, but more so for educators; it can be used as a tool to understanding the mechanisms of social conflict.

“Self-reflection and self-critique is vital for educators, we need to understand that we do not have all the answers because we ever-evolving beings, working on understanding ourselves and the people around us,” said Dr Botman.

The notion of hope
“I am a farmer. I have no hope for a future that is different from today. This quotation comes from Paulo Freire’s work," said Dr Botman. She said that the South African context and environment is similar. She said that people cannot live for today; one should live for tomorrow if hope is to manifest itself.

South African education environment needs to adopt a progressive consciousness that is future orientated, “You need to be hopeful, if you are radical. You need to be able to envision a new society and a new world,” said Dr Botman.

“You cannot only denounce the present, you need to also announce your hopes for a new society. South Africa needs education systems built on understanding. Although change is difficult, it is necessary for transformation,” Dr Botman added.

What makes hope educational?
“Hope is a vision for a tomorrow that is different, and vital for a transformative education system. To get out of a state of despair, people need to educate their hope. Lately, the issue of white privilege has been brought to the fore. You need to educate your hope, so that you understand the reality of others but, more importantly, of yourself,” said Dr Botman.

Dr Botma added that teacher education needs to adopt a Freirean pedagogy with a strong philosophy based on hope. The agency of teachers can either be hopeful or without hope. It is vital that education promotes hope.

“Teachers need to rely on their existential experience, the experiences of others, and the experiences of the children or students they teach. An understanding of all these experience reinforces the idea that people are life-long learners, always learning and adapting to society’s needs,” said Dr Botman.

Teachers as agents of hope

Dr Botman stated that current South African education policy is directed towards transformation but it does not stipulate means to achieve this objective. Further, she argues that educators need to put greater emphasis on self-knowledge, self-reflection, and self-education. Connecting with teachers, parents, students and the community engages with their self-knowledge and reflection.

Reorientation of teacher education
Dr Botman concluded by mentioning that rethinking ontological and epistemological aspects of education is important, and should be a pivotal point of teacher education. A renewed vision of hope-orientated philosophy and pedagogy needs to be adopted by the education institutions. A praxis, which is an informed action, when a balance between theory and practice is achieved. There is a need for an inclusive exploration of education philosophies and education systems not only European and Western but also African and Eastern as well.

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