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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

Weideman focuses on misconceptions with regard to survival of Afrikaans
2006-05-19

From the left are Prof Magda Fourie (Vice-Rector: Academic Planning), Prof Gerhardt de Klerk (Dean: Faculty of the Humanities), George Weideman and Prof Bernard  Odendaal (acting head of the UFS  Department of Afrikaans and Dutch, German and French). 
Photo (Stephen Collett):

Weideman focuses on misconceptions with regard to survival of Afrikaans

On the survival of a language a persistent and widespread misconception exists that a “language will survive as long as people speak the language”. This argument ignores the higher functions of a language and leaves no room for the personal and historic meaning of a language, said the writer George Weideman.

He delivered the D.F. Malherbe Memorial Lecture organised by the Department Afrikaans at the University of the Free State (UFS). Dr. Weideman is a retired lecturer and now full-time writer. In his lecture on the writer’s role and responsibility with regard to language, he also focused on the language debate at the University of Stellenbosch (US).

He said the “as-long-as-it-is spoken” misconception ignores the characteristics and growth of literature and other cultural phenomena. Constitutional protection is also not a guarantee. It will not stop a language of being reduced to a colloquial language in which the non-standard form will be elevated to the norm. A language only grows when it standard form is enriched by non-standard forms; not when its standard form withers. The growth or deterioration of a language is seen in the growth or decline in its use in higher functions. The less functions a language has, the smaller its chance to survive.

He said Afrikaans speaking people are credulous and have misplaced trust. It shows in their uncritical attitude with regard to the shifts in university policies, university management and teaching practices. Afrikaners have this credulity perhaps because they were spoilt by white supremacy, or because the political liberation process did not free them from a naïve and slavish trust in government.

If we accept that a university is a kind of barometer for the position of a language, then the institutionalised second placing of Afrikaans at most tertiary institutions is not a good sign for the language, he said.

An additional problem is the multiplying effect with, for instance, education students. If there is no need for Afrikaans in schools, there will also be no  need for Afrikaans at universities, and visa versa.

The tolerance factor of Afrikaans speaking people is for some reasons remarkably high with regard to other languages – and more specifically English. With many Afrikaans speaking people in the post-apartheid era it can be ascribed to their guilt about Afrikaans. With some coloured and mostly black Afrikaans speaking people it can be ascribed to the continued rejection of Afrikaans because of its negative connotation with apartheid – even when Afrikaans is the home language of a large segment of the previously oppressed population.

He said no one disputes the fact that universities play a changing role in a transformed society. The principle of “friendliness” towards other languages does not apply the other way round. It is general knowledge that Afrikaans is, besides isiZulu and isiXhosa, the language most spoken by South Africans.

It is typical of an imperialistic approach that the campaigners for a language will be accused of emotional involvement, of sentimentality, of longing for bygone days, of an unwillingness to focus on the future, he said.

He said whoever ignores the emotional aspect of a language, knows nothing about a language. To ignore the emotional connection with a language, leads to another misconception: That the world will be a better place without conflict if the so-called “small languages” disappear because “nationalism” and “language nationalism” often move closely together. This is one of the main reasons why Afrikaans speaking people are still very passive with regard to the Anglicising process: They are not “immune” to the broad influence that promotes English.

It is left to those who use Afrikaans to fight for the language. This must not take place in isolation. Writers and publishers must find more ways to promote Afrikaans.

Some universities took the road to Anglicision: the US and University of Pretoria need to be referred to, while there is still a future for Afrikaans at the Northwest University and the UFS with its parallel-medium policies. Continued debate is necessary.

It is unpreventable that the protest over what is happening to Afrikaans and the broad Afrikaans speaking community must take on a stronger form, he said.

 

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