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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

Researchers international leaders in satellite tracking in the wildlife environment
2015-05-29

 

Ground-breaking research has attracted international media attention to Francois Deacon, lecturer and researcher in the Department Animal, Wildlife and Grassland Sciences at the UFS, and Prof Nico Smit, from the same department. They are the first researchers in the world to equip giraffes with GPS collars, and to conduct research on this initiative. Recently, they have been joined by Hennie Butler from the Department of Zoology as well as Free State Nature Conservation to further this research.

“Satellite tracking is proving to be extremely valuable in the wildlife environment. The unit is based on a mobile global two-way communication platform, utilising two-way data satellite communication, complete with GPS systems.

“It allows us to track animals day and night, while we monitor their movements remotely from the computer. These systems make possible the efficient control and monitoring of wildlife in all weather conditions and in near-to-real time. We can even communicate with the animals, calling up their positions or changing the tracking schedules.

“The satellite collar allows us to use the extremely accurate data to conduct research with the best technology available. The volume of data received allows us to publish the data in scientific journals and research-related articles.  

“Scientific institutions and the public sector have both shown great interest in satellite tracking, which opens up new ground for scientific research for this university. Data management can be done, using Africa Wildlife Tracking (AWT) equipment where we can access our data personally, store it, and make visual presentations. The AWT system and software architecture provide the researcher with asset tracking, GPS location reports, geo-fencing, highly-detailed custom mapping, history reports and playback, polling on demand, history plotting on maps, and a range of reporting types and functions,” Francois said.

Data can be analysed to determine home range, dispersal, or habitat preference for any specific species.

Francois has been involved in multiple research projects over the last 12 years on wildlife species and domesticated animals, including the collaring of species such as Black-backed Jackal, Caracal, African Wild Dog, Hyena, Lion, Cheetah, Cattle, Kudu, Giraffe, and Black Rhino: “Giraffe definitely being the most challenging of all,” he said.

In 2010, he started working on his PhD, entitled The spatial ecology, habitat preferences and diet selection of giraffe (Giraffa camelopardalis giraffa) in the Kalahari region of South Africa.

 

Since then, his work has resulted not only in more research work (supervising four Masters students) but also in a number of national and international projects. These include work in the:

  • Kalahari region (e.g. Khamab Nature Reserve and Kgalagadi Transfrontier Park)
  • Kuruman region (Collared 18 cattle to identify spatial patterns in relation to the qualities of vegetation and soil-types available. This project took place in collaboration with Born University in Germany)
  • Woodland Hills Wildlife Estate and Kolomella Iron Ore – ecological monitoring
  • A number of Free State nature reserves (e.g. Distribution of herbivores (kudu and giraffe) and predators (camera traps)

Francois is also involved with species breeding programmes and management (giraffe, buffalo, sable, roan, and rhino) in Korrannaberg, Rustenburg, Hertzogville, Douglas, and Bethlehem as well as animal and ecological monitoring in Kolomella and Beesthoek iron ore.

Besides the collaring of giraffes, Francois and his colleagues are involved in national projects, where they collect milk from lactating giraffes and DNA material, blood samples, and ecto/endo parasites from giraffes in Southern Africa.

With international projects, Francois is working to collect DNA material for the classification of the nine sub-species of giraffe in Africa. He is also involved in projects focusing on the spatial ecology and adaptation of giraffe in Uganda (Murchison Falls), and to save the last 30 giraffe in the DRC- Garamba National Park.

This project has attracted a good deal of international interest. In June 2014, a US film crew (freelancing for Discovery Channel) filmed a documentary on Francois’ research (trailer of documentary). Early in 2015, a second crew, filming for National Geographic, also visited Francois to document his work.

 

More information about Francois’ work is available at the GCF website. 

Read Francois Deacon's PhD abstract

Direct enquiries to news@ufs.ac.za.

 

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