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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

CR Swart Memorial Lecture: Mr Cecil le Fleur
2006-08-08

Khoe and San call for government to speed up policy dialogue with indigenous communities  

 Mr Cecil le Fleur, leader of the National Khoe-San Consultative Conference and member of the executive management of the National Khoe-San Council, has called for a national policy on indigenous peoples to protect the human rights and special needs of indigenous people in South Africa.

 Mr Le Fleur delivered the 38th CR Swart Memorial Lecture on the Khoe and San at the University of the Free State (UFS).  He commended the UFS for its serious approach to the Khoe and San and for initiating initiatives such as a research project on the Griqua in which various aspects linked to language, -culture, -history, - leadership, their role in the South African community (past and present) and the conservation of their historical cultural heritages will be covered.   

 “The policy dialogue with indigenous communities initiated by government in 1999 and supported by the International Labour Organisation (ILO), has been exceedingly slow, owing to political and bureaucratic problems,” said Mr Le Fleur.

 According to Mr Le Fleur the slow pace is also impacting negatively on the United Nations’ efforts to expand the international standards and mechanisms for human rights so as to include the special needs of indigenous peoples.

 “The successful adoption of a South African policy would probably have a major impact on the human rights culture of Africa and, more specifically, on the UN system,” he said.

 “South Africa has a powerful moral authority internationally and is willing to use this authority in multilateral forums. At this stage, however, South Africa’s Department of Foreign Affairs (DFA) may not take an official position on UN instruments and declarations pertaining to indigenous issues, until the Cabinet has resolved its own domestic policy position,” he said. 

 According to Mr le Fleur it therefore came as a great surprise when the DFA brought out a positive vote in the UN for the adoption of the "Draft Declaration on the Rights of indigenous Peoples" in June this year, even before the completion of the policy process. 

 Policy consolidation in South Africa is the primary key to creating a new policy climate in Africa in order to protect the rights of indigenous peoples.  “The existing constitution of the Republic of South Africa is one of the most liberal on the continent, and embraces the concept of redress of past discrimination.  It already includes a clause (Section 6) making provision for the protection of language rights for Khoe and San peoples - the fist peoples of southern Africa,” he said. 

 “If South Africa can effectively integrate this ‘third generation’ of collective rights within an existing democratic constitution, this will send a clear message to Africa and the world that indigenous rights are a necessary component of human and civil rights in modern democracies,” he said.

 Mr Le Fleur proposed an institutional framework based on set principles that would satisfy the needs and aspirations of the Griqua and other first indigenous peoples in South Africa.  “The proposed framework was based on the notion of vulnerability as a result of colonialism and apartheid, which stripped us of our indigenous identity, cultural identity and pride as people.  This injustice can hardly be addressed within the existing mechanisms provided by the current text of the Constitution,” he said.

 Mr Le Fleur also proposed that the principles of unique first-nation status, as recognised in international law, should be applied in the construction of the framework of the constitutional accommodation for the Khoe and San. 

 Mr Le Fleur further proposed that the Khoe and San’s indigenous status in constitutional terms must be separate from the constitutional acknowledgement of their status as a cultural community, as envisaged in sections 185 and 186 of the Constitution of 1996.

 According to Mr Le Fleur, the suggested mechanism should make provision for structures such as:

  •  A statutory representative council for First Indigenous Peoples of South Africa at a national level;
  • a separate Joint Standing Committee on Indigenous and Traditional Affairs, in both the National Assembly and the National Council of Provinces on which the Khoe and San can be represented;
  • a representative structure for the Khoe and San in the legislature of each relevant province; and
  • ex officio membership in the relevant structures of local government.

Media release
Issued by: Lacea Loader
Media Representative
Tel:   (051) 401-2584
Cell:  083 645 2454
E-mail:  loaderl.stg@mail.uovs.ac.za 
24 August 2006


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