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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

Qwaqwa Campus opens: Prof. PA Mbati's speech
2005-01-22

Official welcome speech by Prof. PA Mbati for 2005 first year students held on Saturday 22nd January 2005. Program Director, The Chief Director Operations Rev. Kiepi Jaftha, Dean of Students Dr. Natie Luyt, Program Head of the Faculty of Humanities, Dr. Elias Malete, Program Head of Faculty of Natural and Agricultural Sciences, Prof. Riaan Luyt, Acting Program Head of the Faculty of Economics and Management Sciences Prof. Andries Venter, Deputy Director Student Affairs Mr. Teboho Manchu, Coordinator Finance: Mrs. Elizabeth Nchapi, Senior Librarian Mr. Stoffel Kok, Senior Magistrate Mr Saul Mohosho, SRC President Mr. Tello Motloung, members of staff, invited guests, parents, guardians, my dear students, ladies and gentlemen.

It is indeed my pleasure to welcome you to the official welcoming ceremony of the UFS-Qwaqwa Campus 2005 first year students. Our Rector and Vice Chancellor Professor Frederick has requested me to pass to you his warmest wishes and regards on this special occasion. I am confident that the orientation exercise in which you have participated has achieved the desired effect of introducing you to your new way of life here on campus, and that you are now sufficiently prepared to get on with the rigors of being a student at this University.

Following the restructuring of the higher education landscape, the Qwaqwa campus was incorporated into the University of the Free State with effect from January 1 2003 . As a consequence, Management was faced with a whole complex series of challenges including, primarily making the campus financially viable, but also ensuring that it remains relevant in it’s core business as a satellite campus of the University of the Free State in terms of its teaching, learning, research and community service responsibilities.

A whole series of strategic planning workshops were conducted last year with both internal and external stakeholders. Various important strategic objectives were flagged out, and the next level of consultation will take place soon. I know that there is a lot of eagerness, sometimes to the level of impatience to see this process completed as quickly as possible. But again on the other hand, due to the far reaching consequences of any hasty decisions, plus the need for a carefully planned process, we need to be a little more patient before the implementation of the strategic objectives is implemented. You will be kept informed as this important and critical aspect in the evolution of our campus takes place.

As a response to the need for a more effective governance model on the Qwaqwa campus, a review of the governance structure was completed towards the end of 2004 and will soon serve before the Executive of the Executive Management for approval.

Due to the importance that top management attaches to the development of an effective governance on the Qwaqwa campus, the process was facilitated by an internationally acclaimed consultant. Again the contents of the revised governance model will be made known to the campus and the broader community once it is approved.

I am glad to report that in recognition of the need to improve the infrastructure on campus to provide a conducive learning atmosphere to our students, a total of 8.2 million rands was made available towards the end of 2004 for recapitalization of specifically our student residences and lecture venues. The first phase of the residence renovation is completed and residences C, D and E have now been officially handed over to the University by the Contractor. Among the features of the renovated residences is that they will now computer rooms, kitchenettes for cooking, and a redesigned TV room. The rooms have even been fitted with heaters. Our challenge will now be to maintain our newly acquired facilities and to ensure that they do not again deteriorate to an un-acceptable level. The second phase of renovation will start soon.

As indicated in my address during the orientation week, our obligation to you as a campus is to offer you quality training to the best of our ability, and to disseminate this knowledge to you within a conducive atmosphere worthy of good learning. On the other hand, our students have to take advantage of this opportunity to acquire the necessary skills and training in the various academic programs that we offer on campus.

We have a very simple agenda on this campus – our vision is to continuously strive to build and develop the Qwaqwa campus of University of the Free State into a truly quality institution of higher learning in our country. To develop a tradition and culture in which we are proud of who we are, and constantly and tirelessly working towards excellence in our academic programs, and other non-academic but core and important aspects in your growth and development such as sport and community service. To nurture young conscientious citizens who are aware of their duties and responsibilities. Ultimately to produce hard working young people who fully exploit their potentials, and who will serve this country with diligence when unleashed into the real world in effectively managing their roles and responsibilities in society, whether in private or government civil service.

I would like to encourage that the various stake holders of this campus, the students, academic, administrative and support staff, and our broader community, to work together in harmony for the well being of our campus. For this campus to continue to be relevant in the environment that we find ourselves, there is a need for continuous engagement of its various stake holders, and genuinely listening to each other. We must continuously and regularly keep our feelers on alert in order that we can remain relevant.

I am particularly inviting our parents and guardians, the alumni of this campus, and leaders from our community to join hands with us in seeking solutions to the various challenges that we continue to face on campus. I am open for frank and honest discourse on the best way forward for our campus.

The University of the Free State is committed in making tertiary education accessible to as many students as possible. In this regard, students who do not have the required ‘M’ score to gain entry into main stream classes are given an opportunity to study in the highly successful ‘bridging program’ in which learners are integrated with main stream students but with fewer courses to tackle in order to ensure success. This is done on the premise that such students have the potential to pursue a degree course, and that therefore within a well structured program, they can make a success of their lives.

The University is conscious of the fact that in many instances several academically deserving students fail to be admitted into university due to financial reasons. For students who are academically deserving but who because of reasons of poverty cannot pay the requisite fees, the university is able to assist such students through the National Financial Aid Scheme – commonly known as NSFAS, and University Merit Awards. Other incentives such as Sports bursaries are also available.

Please remember that it is important to balance your life on campus and the phrase ‘a healthy mind in a healthy body’ aptly describes this statement. Ensure that you participate in sport and cultural activities of this campus so that you can develop and strengthen the various God-given talents that you have been blessed with.

A second major ingredient for your success on campus is discipline and respect for rules, policies and procedures that govern the University of the Free State , and respect for your fellow students. Good discipline is a major contributory factor to success in life, and more so in your formative academic life at University. This means for example that you must attend all your lectures, complete your assignments on-time and visit the library frequently. Please manage your time wisely and responsibly. Remember that as a university student, you are basically the master and architect of your own destiny.

Think very carefully when you are confronted with difficult situations, be they negative peer pressure, or temptations to indulge in intoxicating drugs, and make the right choice.

The University has well trained personnel including a social worker, a psychologist and counselor, and members of the student affairs division under the leadership of Mr. Teboho Manchu, Deputy Director Student Affairs, who are available to assist whenever you require their help.

Today is also a special day because we have officially inaugurated the SRC President and the rest of the SRC leadership. I am sure that you all join me in congratulating the SRC for being elected to their leadership roles for 2005. Mr. SRC president and your team, please remember that you now have a huge responsibility in carrying out the aspirations of the student body on campus. I want to wish you luck and success as you champion the rights of your constituents, which I believe and trust will be compatible with management’s expectations with regard to quality teaching and learning on campus. As you are aware, Management values the input that the student leadership makes in the operational management of the affairs of this campus, and we look forward to a cordial, non-confrontational working relationship with a view of rendering un-paralleled service on campus.

Mr. Program Director, allow me to wish everyone here a successful and prosperous year. May the good Lord give us the strength and courage to overcome any obstacle that may be placed in our way in the course of our work in 2005.

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