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14 December 2020
Prof Abdon Atangana
Prof Abdon Atangana is known for his work in developing a new fractional operator used to model real-world problems arising in the fields of science, technology, and engineering. He was recently awarded the TWAS Mohammad A. Hamdan Award by The World Academy of Sciences.
Prof Abdon Atangana, Professor of Applied Mathematics in the Institute for Groundwater Studies at the University of the Free State (UFS), was awarded the TWAS Mohammad A. Hamdan Award by The World Academy of Sciences for the advancement of science in developing countries.

It is the first time that the TWAS Mohammad A. Hamdan Award was bestowed. According to a statement issued by TWAS, this award is given for outstanding mathematical work carried out by a scientist working and living in Africa or the Arab region. It states that the award can be given for work in pure mathematics, applied mathematics, probability, or statistics. Prof Atangana received the award for his contribution to fractal mathematics and partial differential equations.

Making a difference in society

He is known for his research in developing a new fractional operator, the Atangana-Baleanu operator, which is used to model real-world problems. With this operator, he not only describes the rate at which something will change, but also account for disrupting factors that will help to produce better projections.

His work can be applied to make complicated predictions in the fields of science, technology, and engineering. His models can, for instance, help to predict the spread of infectious diseases among people in a settlement, forecasting the number of people who will be infected each day, the number of people who will recover, and the number of people who will die.

Prof Atangana’s models can also help to advise people drilling for water by predicting how groundwater is flowing in a complex geological formation. These are only two examples of how his work can be applied to make a difference in society.

The award from TWAS is the third prestigious commendation he has received in the past month. He was recently named as one of the top 1% scientists on the global Clarivate Web of Science list. His name also appeared on a global list of leading scientists published by Stanford University in the United States. The list is the result of a study published in PLOS Biology, a peer-reviewed open-access journal.

World’s most accomplished scientists

Honours awarded by TWAS and its partners are among the most prestigious for research in the developing world. They recognise outstanding achievements and contributions to science and acknowledge the best work by scientists from the global South.

TWAS, founded in 1983 by a group of scientists under the leadership of Pakistani physicist and Nobel laureate, Abdus Salam, believes that developing nations – by growing strength in science and engineering – will be able to address challenges such as hunger, disease, and poverty, through their knowledge and skills.

TWAS is represented in 100 countries, and of the more than a thousand elected fellows, 14 are Nobel laureates. Eighty-four percent of these fellows are from developing nations. TWAS fellows are also some of the world’s most accomplished scientists.

News Archive

Fight against Ebola virus requires more research
2014-10-22

 

Dr Abdon Atangana
Photo: Ifa Tshishonge
Dr Abdon Atangana, a postdoctoral researcher in the Institute for Groundwater Studies at the University of the Free State (UFS), wrote an article related to the Ebola virus: Modelling the Ebola haemorrhagic fever with the beta-derivative: Deathly infection disease in West African countries.

“The filoviruses belong to a virus family named filoviridae. This virus can cause unembellished haemorrhagic fever in humans and nonhuman monkeys. In literature, only two members of this virus family have been mentioned, namely the Marburg virus and the Ebola virus. However, so far only five species of the Ebola virus have been identified, including:  Ivory Coast, Sudan, Zaire, Reston and Bundibugyo.

“Among these families, the Ebola virus is the only member of the Zaire Ebola virus species and also the most dangerous, being responsible for the largest number of outbreaks.

“Ebola is an unusual, but fatal virus that causes bleeding inside and outside the body. As the virus spreads through the body, it damages the immune system and organs. Ultimately, it causes the blood-clotting levels in cells to drop. This leads to severe, uncontrollable bleeding.

Since all physical problems can be modelled via mathematical equation, Dr Atangana aimed in his research (the paper was published in BioMed Research International with impact factor 2.701) to analyse the spread of this deadly disease using mathematical equations. We shall propose a model underpinning the spread of this disease in a given Sub-Saharan African country,” he said.

The mathematical equations are used to predict the future behaviour of the disease, especially the spread of the disease among the targeted population. These mathematical equations are called differential equation and are only using the concept of rate of change over time.

However, there is several definitions for derivative, and the choice of the derivative used for such a model is very important, because the more accurate the model, the better results will be obtained.  The classical derivative describes the change of rate, but it is an approximation of the real velocity of the object under study. The beta derivative is the modification of the classical derivative that takes into account the time scale and also has a new parameter that can be considered as the fractional order.  

“I have used the beta derivative to model the spread of the fatal disease called Ebola, which has killed many people in the West African countries, including Nigeria, Sierra Leone, Guinea and Liberia, since December 2013,” he said.

The constructed mathematical equations were called Atangana’s Beta Ebola System of Equations (ABESE). “We did the investigation of the stable endemic points and presented the Eigen-Values using the Jacobian method. The homotopy decomposition method was used to solve the resulted system of equations. The convergence of the method was presented and some numerical simulations were done for different values of beta.

“The simulations showed that our model is more realistic for all betas less than 0.5.  The model revealed that, if there were no recovery precaution for a given population in a West African country, the entire population of that country would all die in a very short period of time, even if the total number of the infected population is very small.  In simple terms, the prediction revealed a fast spread of the virus among the targeted population. These results can be used to educate and inform people about the rapid spread of the deadly disease,” he said.

The spread of Ebola among people only occurs through direct contact with the blood or body fluids of a person after symptoms have developed. Body fluid that may contain the Ebola virus includes saliva, mucus, vomit, faeces, sweat, tears, breast milk, urine and semen. Entry points include the nose, mouth, eyes, open wounds, cuts and abrasions. Note should be taken that contact with objects contaminated by the virus, particularly needles and syringes, may also transmit the infection.

“Based on the predictions in this paper, we are calling on more research regarding this disease; in particular, we are calling on researchers to pay attention to finding an efficient cure or more effective prevention, to reduce the risk of contamination,” Dr Atangana said.


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