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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

UV vestig hom afgelope eeu as leier op verskeie terreine

2004-05-11

Michelle O'Connor - Volksblad - 11 Mei 2004

Ondank terugslae nou 'n 'gesonde volwassene'

HOEWEL die Universiteit van die Vrystaat (UV) vanjaar sy eeufees vier en met 23 000 studente die grootste universiteit in die sentrale deel van die land is, was dié instelling se geboorte glad nie maklik nie. MICHELÉ O'CONNOR het met prof. Frederick Fourie, rektor, oor die nederige begin van dié instelling gesels.

DIE behoefte aan 'n eie universiteit in die Vrystaat het reeds in 1855, kort ná die stigting van Grey-kollege, kop uitgesteek.

Grey se manne het hulleself teen 1890 begin voorberei om die intermediêre B.A.-eksamens af te lê. Dié eksamen het hulle toegang gegee tot die tweede jaar van 'n B.A.-graad aan die destydse University of the Cape Good Hope, nou die Universiteit van Kaapstad.

"Presidente F.W. Reitz en M.T. Steyn het destyds albei die stigting van 'n universiteit hier bepleit. Die grootste rede was sodat die seuns van die Vrystaat nie weggestuur word nie.

"Dié twee se droom is op 28 Januarie 1904 bewaarheid toe ses studente hulle onder dr. Johannes Bril, as hoof/rektor van Grey-kollege, vir die graad B.A. ingeskryf het. Dié graad is aanvanklik deur die Kaapse universiteit toegeken.

"Net die klassieke tale soos Latyns en Grieks, die moderne tale, Nederlands, Duits en Engels, filosofie, geskiedenis, wiskunde, fisika, chemie, plant- en dierkunde is aanvanklik aangebied.

"Die UV se geboue het gegroei van 'n klein tweevertrek-geboutjie wat nou naby Huis Abraham Fischer staan, en verblyf in die Grey-kollege se seunskoshuis," sê Fourie.

Volgens hom is die universiteit se eerste raad en senaat tussen 1904 en 1920 saamgestel. Die eerste dosente is aangestel en die eerste geboue opgerig. "Dié tyd was egter baie moeilik.

"Die instelling het teen 1920 net 100 studente gehad en was geldelik in die knyp. Daar was geen vaste rektor nie en geen vooruitgang nie. Vrystaatse kinders is steeds na ander universiteite gestuur.

"Ds. J.D. Kestell, rektor van 1920 tot 1927, het egter dié instelling finaal gevestig.

"Hy het self studente van oor die hele Vrystaat gewerf en geld by onder meer kerke en banke ingesamel. Kestell het selfs Engelse ouers oortuig om hul kinders na die Greyuniversiteitskollege (GUK) te stuur en teen 1927 het dié instelling met 400 studente gespog.

"In die tydperk tussen 1927 en 1950 het die GUK weer verskeie terugslae beleef.

"In dié tyd was dit onder meer die Groot Depressie en die Tweede Wêreldoorlog. Die armblanke-vraagstuk het regstreeks op studente en dosente ingewerk en die politieke onderstrominge van dié tyd het die instelling ontwrig.

"Die GUK het egter oorleef en die Universiteitskollege van die Oranje-Vrystaat (UKOVS) is in 1935 gebore," sê Fourie.

Hy sê in dié tyd is verskeie fakulteite gevestig en teen 1950 het die UKOVS met 1 000 studente gespog.

Teen 1950 het dit 'n onafhanklike universiteit geword en die naam is verander na die Universiteit van die OranjeVrystaat (UOVS).

Dié tydperk is gekenmerk deur Afrikaner- en blanke selfvertroue en heerskappy. Studentegetalle het tot 7 000 in 1975 gegroei en heelwat vooruitgang het in dié tyd plaasgevind.

"Tussen 1976 en 1989 sukkel dieuniversiteit weer met onder meer ekonomiese krisisse, die land se politieke onstabiliteit en word die UOVS geï soleer.

"Een ligpunt in dié tyd is die toelating van die eerste swart studente, die nuwe Sasol-biblioteek en die fakulteit teologie wat die lig sien.

"Tussen 1990 en vanjaar het die UOVS verskeie op- en afdraandes beleef. Die universiteit doen nie net die eerste stappe van transformasie nie, maar begin ook aan 'n beleid van multikulturaliteit werk.

"Die UOVS se naam verander in 1996 na die Universiteit van die Vrystaat/University of the Free State en in 2001 word die Sotho-vertaling bygevoeg.

"Geldelike druk en probleme neem drasties toe en personeel word gerasionaliseer.

"Teen 2000 begin die UV met 'n draaistrategie en studentegetalle neem tot meer as 23 000 toe," sê Fourie.

Hy sê die UV het die afgelope eeu nie net verskeie terugslae oorleef nie, maar homself ook op verskeie gebiede as 'n leier gevestig.

Die universiteit behaal sy eie geldelike mikpunte, neem 'n nuwe taalbeleid van veeltaligheid aan en herbelê in personeel.

Die instelling inkorporeer die kampusse van die Vista- en Qwaqwa-universiteit en groei internasionaal.

Die UV vestig ook fondamente van 'n institusionele kultuur van verdraagsaamheid, geregtigheid en diversiteit.

"Die baba het in die afgelope eeu 'n gesonde volwassene geword."

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