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Prof Abdon Atangana develops new concept to test Ebola waves

05 September 2022 | Story Andrè Damons | Photo Andrè Damons

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

Guest lecture: Mr Pretorius, CEO of McCarthy Limited

2004-11-05

The challenges facing business leaders in a rapidly changing South Africa

“The world we used to know does not exist anymore. Leaders are continually dealing with crisis and opportunities, in a high-pressure environment,” said Mr Brand Pretorius, honorary professor from the University of the Free State , delivering his 13th guest lecture on the challenges facing business leaders in a rapidly changing South Africa .

Mr Pretorius, CEO of McCarthy Limited, identified certain trends which are responsible for changes to the South African business environment. He said the South African business environment is ever-changing, fast moving, complex and unpredictable. “As business people we have to deal with the impact,” he said.

“Years ago we were globally isolated. Now we live in a shrinking borderless world with crumbling trade barriers. Globilisation of our economy is accelerating. For South African business leaders this creates a sea of export opportunities,” he said.

Although there are ongoing demands for substantial profit growth from shareholders, the days of focussing only on their interests are gone, said Mr Pretorius. Stakeholder commitment now enjoys high priority and business leaders have to deal with the challenges accompanying black economic empowerment and employment equity.

Customers are also well-informed and demanding. Business leaders could easily loose the loyalty of their customers because of a hyper-competitive environment with an oversupply of goods and services.

Mr Pretorius stated that staff want to be involved and are looking for meaning in their workplace. Employers also have to deal with HIV/Aids in their workplaces. Trauma, absenteeism and financial implications could have a great effect on the viability of a business.

Against these changes Mr Pretorius pointed out the challenges business leaders are facing. In doing so a number of questions arise. The external business climate is characterised by turbulence and change. Internally there is a need for stability and meaning. How do we handle both challenges effectively?

Because of changes strategy decay is taking place and past strategies become irrelevant. Mr Pretorius said that business leaders need to modify their business models to prevent the downfall of their companies.

It is important for leaders to know what is happening in their world. “Continuous innovation is a critical success factor. The reality is that innovation is the only insurance against irrelevance,” he said.

Because of a changed environment leaders must perform and transform, simultaneously. How do we strike a balance between focused transformation and the achievement of world class performance, asked Mr Pretorius? “We need to bring about meaningful and sustainable empowerment, in order to create an inclusive economy and society. Leadership and management profiles should reflect the diversity of our teams, however at the same time every effort should be made to stop the brain drain and retain the expertise of experienced white managers.”

He also stated that leaders have an important role to play in terms of employment creation and corporate caring. “Sustainable stability and prosperity will not materialise without efforts in this regard.”

Mr Pretorius said that above challenges could be addressed by developing the ability to focus on creating a better future, rather than defending the past, a long-term vision, facing new realities, enhancing the value of brands and mobilising IT and the Internet to serve the business and customers better.

Retaining a positive vision of the future, embracing change and transformation, building your business according to the right principles and values and aspiring to be the best are some of the guidelines, according to Mr Brand, for future business success. He stated that creating a value advantage above one’s competitors, customer satisfaction and retention and inspirational leadership will add to the success of one’s business.

“We are indeed living in the era of the ultimate challenges, but also the ultimate opportunities. Let me clearly state that I have hope – in my view the tide has turned. Every day I experience small miracles inspired by ordinary people making an extraordinary difference,” said Mr Pretorius.

Media release
Issued by: Lacea Loader
Media Representative
Tel: (051) 401-2584
Cell: 083 645 2454
E-mail: loaderl.stg@mail.uovs.ac.za
5 November 2004

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