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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

Conference: Expanded ARV treatment

2005-03-02

VENUE: University of the Free State, Bloemfontein, South Africa
DATE: 30 March 2005 - 1 April 2005

ARV Programme as on 24Feb Download Word document
Programme Special events Download Word document

Official web site www.fshealth.gov.za/subsites/arvc

Rationale for the Conference
At the time of the planned Conference, much ground would have been covered, both in the Free State and in South Africa, in respect of the expanded public sector ARV treatment programme in respect of research, experiences in practice, training of staff, treatment of patients, lessons learned, successes and failures, etc. The time would then be quite opportune to share these in a systematic manner with other provinces and countries, as well as with the large variety of stakeholders and role players in the ARV and related domains, be they academics and researchers, policy makers and service/facility managers, the variety of caregivers, and the community organisations and affected patients.

The Conference and current research
The proposed Conference is, firstly, directly linked to the current research on the public sector roll-out of ARV treatment in the Free State conducted by several research institutions (e.g. CIET, CHSR&D, UCT Lung Institute). Secondly, the Conference could and would serve as a forum for other research groups in the country and further a field to report and share knowledge and experiences on ARV treatment and related initiatives. Lastly, the Conference will stage a golden opportunity for researchers and scientists, on the one hand, and policy makers, managers, and caregivers (as knowledge users), on the other hand, to engage in cross-disciplinary discourse on this mutual and topical theme.

Theme of Conference
Expanded ARV treatment in the Free State: sharing experiences

Focus
The focus is primarily on public sector ARV treatment in the Free State, but also initiatives/activities/perspectives of relevance to the Free State elsewhere in the country at large and further a field, as well as relevant ARV initiatives in the public, private, NGO and FBO sectors. Bear in mind, however, that ARV treatment is but part of a much more comprehensive approach to HIV and AIDS. The Conference will, therefore, not narrowly focus on the ARV treatment programme only. The broader context, other relevant dimensions, and a comprehensive approach to the challenges of HIV, AIDS and TB are of equal importance.

The purpose of the Conference
Enhance meaningful exchange, mutual understanding and collaboration among researchers, scientists, policy makers, managers and practitioners in the field of ARV treatment and related fields.

Share experiences in the various spheres of ARV treatment and related spheres (policy, management, practice, research, training, public-private-civil society sectors).

Record, reflect and report on the establishment of the ARV treatment programme in the Free State, and in within the context of the comprehensive HIV/AIDS programme.

Disseminate important research results on ARV treatment and related themes to health policy makers, managers, practitioners, communities and to the research community.

Stimulate discourse among various disciplines and various stakeholders/role players involved in ARV treatment and related programmes.

Sensitise and acquaint researchers to the requirements of policy makers, managers and practitioners in respect of ARV treatment and related fields.

Facilitate the implementation of research results in ARV treatment policy, programmes and practice.

Dissemination of Conference-related information
Information generated during the Conference could feed into policy, management and practice of ARV treatment, the training accompanying such programme, and the existing body of knowledge. After the Conference the information will be disseminated via the Internet and by scientific and popular publications.

Date and duration
Set for 30 & 31 March & 1 April 2005; to commence at 09:00 on the first day (30 March) and to end at 16:30 (1 April) the third day.

Format and scope of Conference
Alternating plenary, parallel sessions and debates focused on topical issues and interest groups. The Conference will strive to be maximally interactive and participative.

Themes and topics to cover:

Policy, management and health services/practice (various levels and contexts – clinical treatment, information, IT systems, pharmacy, laboratories, nutrition)
Research covering all relevant disciplines and diverse dimensions of ARV treatment and related themes
Training and evaluation of training
Patients, communities and civil society organisations
Public, private, NGO, FBO initiatives and partnerships

Emphasis will be on the Free State, however, with of significant involvement from other provinces, SADC countries, and countries further a field. The thrust will be to export lessons and experiences from the Free State, but also to import lessons and experiences from other provinces, countries and sectors.

Presenters
Key presenters from the Free State, other provinces, South Africa, from the private, FBO and NGO sectors, and from several other countries

Delegates
About half of the delegates will be Free State stakeholders and role players (all levels and all contexts). The other half will be role players and stakeholders in the ARV and related fields from other provinces, the national level, and other countries, as well as from the private, public and non-governmental sectors.

Focused workshops
Provision will be made for half-a-day or one-day workshop initiatives on the third day (1 April 2005).

Enquiries
For more information please contact:

Prof Dingie van Rensburg
Centre for Health Systems Research & Development
University of the Free State
PO Box 339
Bloenfontein
SOUTH AFRICA
9300

Contact:
Carin van Vuuren
Conference Organiser
Centre for Health Systems Research & Development
University of the Free State
P.O.Box 339
Bloemfontein
South Africa
9300
Tel +27 (0) 51 401 2181
Fax +27 (0) 51 4480370
Cell 0832932890
e-mail: arvconference.hum@mail.uovs.ac.za

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