I am interested in a variety of problems in population dynamics, with most of my work in mathematical epidemiology.

Metapopulation models and the spatial and temporal spread of infectious diseases

Since early work with Pauline van den Driessche (Arino & van den Driessche, 2003), I have been interested in the dynamics of infectious diseases in metapopulations. These are systems of connected populations, where individuals can move between populations.

Introduction of pathogens

I became interested in this problem during the COVID-19 pandemic, as I realised at the time that this obligatory step in the spread of infectious diseases was not well understood. I have since worked on this problem with a number of students and collaborators, both for diseases of humans but also for diseases of animals.

Mathematical ecology and mathematical biology

Besides my main interests in mathematical epidemiology, I am also interested in a number of problems in mathematical ecology and mathematical biology. Altogether, I greatly value the modelling step and the interdisciplinary nature of the work in this stage.

Training in mathematical epidemiology and modelling

Since I was a postdoc, I have been involved in training students in mathematical epidemiology and modelling. In recent years, many of my training activities have involved teaching in various places in Africa. I also have developed a number of online resources for training in mathematical epidemiology and modelling, which are available on my website.

Current trainees

• Ghazale Farjam. Ph.D. (IIS), Department of Mathematics. Former VADA student
• Md Mehadi Hasan. Ph.D. IIS), Departments of Mathematics and Statistics.
• Solomon Mensah. M.Sc. student, Department of Mathematics. Co-supervision with K.-L. Liao.
• Felix Vo. Undergraduate student, .