Past activities

2020

UP Biomath Response 2 Covid-19

Dear Colleagues,

Welcome to UP Biomath Response 2 Covid-19, the Department of Mathematics and Applied Mathematics web-site devoted to the mathematical aspects of the outbreak of the Covid-19 pandemic. The site aims to provide a platform for rapid communication and exchange of ideas concerning the modelling of the epidemy. We invite all members of the scientific community to contribute to the site by submitting their notes containing models, simulations, preliminary technical reports and drafts of papers for discussions and opinions, as well as useful links related to the outbreak. The contributions should be sent to [email protected] and [email protected]. While the purpose of the site is mainly to generate a discussion and thus the submissions are not peer-reviewed,  they will be moderated by the administrator to ensure that a scientific level of communication is maintained.     

DSI/NRF SARChI Chair in Mathematical Models and Methods in Biosciences and Bioengineering

Resources 

Alex Welte Rachid Ouifki Early pauses in vaccination rollouts for Covid19.

Salisu M. Garba Jean M.-S. Lubuma Berge Tsanou Modeling the transmission dynamics of the COVID-19 Pandemic in South Africa 
 

 S. Garba  J Lubuma  Coronavirus (COVID-19) Modeling the Outbreak (Biomath Coffee lecture on 25 February 2020)

 Roumen Anguelov, Jacek Banasiak, Chelsea Bright, Jean Lubuma, Rachid Ouifki The big unknown: The asymptomatic spread of COVID-19, Technical Report UPWT 2020/1, 2020

N. Sauer Logistic growth and immunity

N Sauer Meaningful visualization of data

SIAM Resources

AMS Resources

STATOMET, Department of Statistics at UP

 

Resources developed by SA institutions

South African Resource Portal https://sacoronavirus.co.za/

 https://www.covid19sa.org/

 

Useful links 

https://www.arcgis.com/apps/opsdashboard/index.html#/bda7594740fd40299423467b48e9ecf6

https://www.youtube.com/watch?v=mOV1aBVYKGA&feature=youtu.be  

https://www.up.ac.za/news/post_2896172-up-mathematicians-develop-website-for-communication-of-mathematical-analysis-of-sars-cov-2-and-covid-19  

 

2019

Projects GEMDOTIS and CERATIS

A project, called GEMDOTIS, about the use of Sterile Insect Technique (SIT) against Bactrocera dorsalis, a
fruit fly, in Réunion island, has been funded by the program Ecophyto 2018 (France). It started in June 2019. Also, another SIT project, CERATIS, against Ceratitis capitata, another fruit fly, in Corsica, is also funded by the program Ecophyto 2019 (France) and will start in January 2020. Yves Dumont is involved in both projects. The project Semilinear and quasilinear systems in fluid mechanics forced by space‐time white noise has been awarded a Research in Paris grant by the Institut Henri Poincare, Paris, France. It is a joint application of Paul Razafimandimby with Zdzislaw Brzezniak and Kazuo Yamazaki

2018

June: Biomathematics Days

At the University of Pretoria Four successful events were held during the Biomathematics Days.

During the Thesis in Three event the following winners were announced: 

1st Prize, Rebecca Bekker

Runner‐ups, David Arogunjo; Phindile Dumani; Yash Madanha

Audience's choice, Emmanuel Amikiya

2015

Advection-reaction partial differential equations with diffusion and/or cross-diffusion for modeling:

• Bioremediation and biofilms,
• Cancer growth and therapy,
• Pattern formation,
• Production and transmission of queen honeybee pheromone.

 

Dynamics of some compartmental epidemic models in the setting of :

• Strong Allee effect,
• Age structure models for measles with vaccination, treatment and hospitalization,
• Bovine Tuberculosis epidemic in Human and African Buffalo Population with backward bifurcation phenomenon,
• Delay differential equations for vector-bone diseases such as the Chikungunya.
• Volterra integral equations in order to incorporate the infectivity period into the models.
• Waterborne diseases

 

Trends in the mathematical modelling of the HIV/AIDS with impact on its control.

 

Applications of Sobolev spaces in biosciences.

 

 

2014

 A Study on the Apparent Randomness of a Wildlife Sample by C Kraamwinkel and I Fabris-Rotelli

 

 Training in Mathematical Epidemiology by J Mwambakane