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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

UFS breakthrough on SRC
2005-06-10

The Council of the University of the Free State (UFS) today unanimously approved the establishment of a Central Student Representative Council (CSRC)  to ensure the democratic participation of students at its three campuses in the governance of the university.

In a major breakthrough and transformation step for student governance, the Central SRC will include representatives of the main campus in Bloemfontein, the Vista campus and the Qwaqwa campus of the UFS.

The establishment of the Central SRC follows the incorporation of the Qwaqwa campus into the UFS in January 2003 and the incorporation of the Vista campus in Bloemfontein into the UFS in January 2004.

According to Dr Ezekiel Moraka, Vice-Rector: Student Affairs, today’s decision of Council is the result of a lengthy, negotiated agreement between the three campuses. Independent experts facilitated part of the process.

With the establishment of a Central SRC, the UFS has adopted a federal student governance model whereby the CSRC is the highest representative student body on matters of common concern for all students.

However, the three campuses of the UFS will retain autonomous SRC structures for each campus with powers and responsibilities for matters affecting the particular campus.

This arrangement will be reviewed after a year to make allowance for the phasing out of students at the Vista campus, as was agreed in the negotiations preceding the incorporation of that campus into the UFS.

The central SRC will have a maximum of 12 members made up of members of the campus SRCs, including the presidents of these three SRCs. In total, the main campus will have 5 representatives, the Qwaqwa campus will have 4 representatives and the Vista campus will have 3 representatives.

From these 12 members a central SRC president will be chosen on a quarterly basis to represent the general student body at Executive Management, Senate and Council.

In another key decision and significant step forward affecting student governance, the Council also approved amendments the constitution of the Student Representative Council (SRC) of the main campus.  These amendments were the results of deliberations of student organizations, the SRC and the Student Parliament of the UFS main campus.

The amendments to the constitution of the main campus SRC determines that nine of the 18 SRC members must be elected by means of proportional representation and nine on the basis of an individual, first-past-the-post election.

This decision comes in the wake of calls by certain student organizations on main campus for proportional representation to be included as a means of electing student representatives.

The following portfolios of the main campus SRC will be contested by individual candidates on the basis of first past the post:

  • president
  • secretary
  • academic affairs
  • legal and constitutional affairs
  • student development
  • arts and culture
  • men’s internal liaison
  • ladies internal liaison
  • media, marketing and liaison

The following nine portfolios will be contested by affiliated organizations on a proportional representation basis.

  • two vice-presidents
  • treasurerdialogue and associations
  • transformation
  • campus affairs and recreation
  • sport
  • international affairs
  • community service

It also is a breakthrough to have all constitutional changes processed and approved at the June meeting of the Council, with all relevant student organizations having been part of the process and accepting the outcome of the process.

According to the chairperson of the UFS Council, Judge Faan Hancke, today’s unanimous decisions on student governance are an indication of how all UFS stakeholders represented in Council are committed to finding win-win solutions in the interest of the university.

“Once again the UFS has reached another milestone in its transformation and has shown the rest of the country that we are pioneers in the field of reaching intelligent solutions to complex situations,” Judge Hancke said.

According to Dr Moraka, the central SRC constitution will come into effect from the start of the second semester this year.

 MEDIA RELEASE

Issued by: Lacea Loader
    Media Representative
    Tel:  (051) 401-2584
    Cell:  083 645 2454
     E-mail:  loaderl.stg@mail.uovs.ac.za

10 June 2005
 

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