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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

The failure of the law

2004-06-04

Written by Lacea Loader

- Call for the protection of consumers’ and tax payers rights against corporate companies

An expert in commercial law has called for reforms to the Companies Act to protect the rights of consumers and investors.

“Consumers and tax payers are lulled into thinking the law protects them when it definitely does not,” said Prof Dines Gihwala this week during his inaugural lecture at the University of the Free State’s (UFS).

Prof Gihwala, vice-chairperson of the UFS Council, was inaugurated as extraordinary professor in commercial law at the UFS’s Faculty of Law.

He said that consumers, tax payers and shareholders think they can look to the law for an effective curb on the enormous power for ill that big business wields.

“Once the public is involved, the activities of big business must be controlled and regulated. It is the responsibility of the law to oversee and supervise such control and regulation,” said Prof Gihwala.

He said that, when undesirable consequences occur despite laws enacted specifically to prevent such results, it must be fair to suggest that the law has failed.

“The actual perpetrators of the undesirable behaviour seldom pay for it in any sense, not even when criminal conduct is involved. If directors of companies are criminally charged and convicted, the penalty is invariably a fine imposed on the company. So, ironically, it is the money of tax payers that is spent on investigating criminal conduct, formulating charges and ultimately prosecuting the culprits involved in corporate malpractice,” said Prof Gihwala.

According to Prof Gihwala the law continuously fails to hold companies meaningfully accountable to good and honest business values.

“Insider trading is a crime and, although legislation was introduced in 1998 to curb it, not a single successful criminal prosecution has taken place. While the law appears to be offering the public protection against unacceptable business behaviour, it does no such thing – the law cannot act as a deterrent if it is inadequate or not being enforced,” he said.

The government believed it was important to facilitate access to the country’s economic resources by those who had been denied it in the past. The Broad Based Economic Empowerment Act of 2003 (BBEE), is legislation to do just that. “We should be asking ourselves whether it is really possible for an individual, handicapped by the inequities of the past, to compete in the real business world even though the BBEE Act is now part of the law?,” said Prof Gihwala.

Prof Gihwala said that judges prefer to follow precedent instead of taking bold initiative. “Following precedent is safe at a personal level. To do so will elicit no outcry of disapproval and one’s professional reputation is protected. The law needs to evolve and it is the responsibility of the judiciary to see that it happens in an orderly fashion. Courts often take the easy way out, and when the opportunity to be bold and creative presents itself, it is ignored,” he said.

“Perhaps we are expecting too much from the courts. If changes are to be made to the level of protection to the investing public by the law, Parliament must play its proper role. It is desirable for Parliament to be proactive. Those tasked with the responsibility of rewriting our Companies Act should be bold and imaginative. They should remove once and for all those parts of our common law which frustrate the ideals of our Constitution, and in particular those which conflict with the principles of the BBEE Act,” said Prof Gihwala.

According to Prof Gihwala, the following reforms are necessary:

• establishing a unit that is part of the office of the Registrar of Companies to bolster a whole inspectorate in regard to companies’ affairs;
• companies who are liable to pay a fine or fines, should have the right to take action to recover that fine from those responsible for the conduct;
• and serious transgression of the law should allow for imprisonment only – there should be no room for the payment of fines.

Prof Gihwala ended the lecture by saying: “If the opportunity to re-work the Companies Act is not grabbed with both hands, we will witness yet another failure in the law. Even more people will come to believe that the law is stupid and that it has made fools of them. And that would be the worst possible news in our developing democracy, where we are struggling to ensure that the Rule of Law prevails and that every one of us has respect for the law”.

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