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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 to investigate implementation of quality-monitoring system for SA food industry
2006-02-07

Some of the guests who attended the workshop were from the left Prof James du Preez (Chairperson: Department of Biotechnology at the UFS); Prof Lodewyk Kock (Head: South African Fryer Oil Initiative (SAFOI) at the UFS)); Mrs Ina Wilken (Chairperson: South African National Consumer Union (SANCU)); Prof Herman van Schalkwyk (Dean: Faculty of Natural and Agricultural Sciences at the UFS) and Mr Joe Hanekom (Managing Director of Agri Inspec).
Photo: Stephen Collet
 

UFS to investigate implementation of quality-monitoring system for SA food industry

The University of the Free State (UFS) will be investigating the implementation of a quality-monitoring service for the South African food industry. 

This was decided during a workshop to discuss the external quality monitoring in the edible oil industry of South Africa, which was recently held at the UFS.

Major role players in the fast-food sector like Nando's, Spur, Captain
Dorego's, King Pie Holdings, Black Steer Holdings, etc and various oil
distributors like Felda Bridge Africa, Refill Oils, PSS Oils and Ilanga Oils attended
the workshop. Also present was Mrs Ina Wilken, Chairperson of the South African National Consumer Union (SANCU) and key-note speaker of this workshop. She represented the consumer.  

These role players all pledged their support to the implementation of this quality- monitoring system for the whole food industry. 

The decision to implement this system follows the various malpractices reported in the press and on TV concerning food adulteration (eg the recent Sudan Red Scare), misrepresentation (eg olive oil scandal exposed in 2001) and the misuse of edible frying oils by the fast-food sector. 

“One of the basic rights of consumers is the right to safe food. Consumers must be protected against foods and food production processes which are hazardous to their health. Sufficient guarantee of the safety of all food products and food production processes should be implemented. It does not help to have adequate food standards and legislation and there is no manpower to do the necessary investigation or monitoring,” said Mrs Wilken.

The South African Fryer Oil Initiative (SAFOI), under the auspices of the UFS Department of Microbial, Biochemical and Food Biotechnology, currently monitors edible oils in the food industry and makes a seal of quality available to food distributors.

“Last week’s decision to implement the quality-monitoring system implies that we will now be involving also other departments in the UFS Faculty of Natural and Agricultural Sciences who are involved in various aspects of the food chain in an endeavor to implement this quality monitoring system,” said Prof Herman van Schalkwyk, Dean:  Faculty of Natural and Agricultural Sciences at the UFS and one of the main speakers at the workshop.

Prof van Schalkwyk said that the main aim of such a system will be to improve the competitiveness of the South African food industry.  “It is clear that the role players attending the workshop are serious about consumer service and that they agree that fraudulent practice should be monitored and corrected as far as possible.  Although some of the food outlets have the capacity to monitor the quality of their food, it may not seem to the consumer that this is an objective process.  The proposed external monitoring system would counteract this perception amongst consumers,” said Prof van Schalkwyk.

The workshop was also attended by representatives from SAFOI and Agri Inspec, a forensic investigation company collaborating with inter-state and government structures to combat fraud and international trade irregularities.

Agri Inspec has been working closely with SAFOI for a number of years to test the content of edible oils and fats.  “Extensive monitoring and control actions have been executed in the edible oil industry during the past four years to ensure that the content and labeling of oil products are correct.  Four years ago almost 90% of the samples taken indicated that the content differed from what is indicated on the label.  This has changed and the test results currently show that 90% of the products tested are in order. However, to maintain this quality standard, it is necessary that quality monitoring and educational campaigns are continuously performed,” said Mr Joe Hanekom, Managing Director of Agri Inspec. 

“The seal of quality presented by SAFOI should also be extended to include all the smaller oil containers used by households,” Mrs Wilken said.

The SAFOI seal of quality is currently displayed mainly on some oil brands packed in bigger 20 liter containers, which include sunflower oil, cottonseed oil, palm oil etc which are used by restaurants and fast food outlets.  “Any oil type is eligible to display the seal when meeting certain standards of authenticity.  In order to display the seal, the distributor must send a sample of each oil batch they receive from the manufacturer to SAFOI for testing for authenticity, ie that the container’s content matches the oil type described on the label. This is again double checked by Agri Inspec, which also draws samples countrywide from these certified brands from the end-user (restaurant or fast food outlets). If in breach, the seal must be removed from the faulty containers,” said Prof Lodewyk Kock, Head of SAFOI.

“It should however be taken into account that oils without a seal of quality from the UFS can still be of high quality and authentic. Other external laboratories equipped to perform effective authenticity tests may also be used in this respect,” said Prof Kock.

“It is also important to realise that any oil type of quality such as sunflower oil, cottonseed oil, palm oil etc can be used with great success in well controlled frying processes,” he said.

Further discussions will also be held with the Department of Health, the SA National Consumer Union and Agri Inspec to determine priority areas and to develop the most effective low-cost monitoring system.

More information on the UFS oil seal of quality and oil use can be obtained at www.uovs.ac.za/myoilguide

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

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