## Research

Structured populations, and applied analysis in the sciences.

Applications/problems I have worked on include:

- Control of mosquito borne diseases via Wolbachia infections. Mathematical epidemiology.
- Non-small cell lung cancer: quantitative CT histogram analysis using mathematical models to quantify ground glass opacities.
- Cancer cell proliferation dynamics, in particular the effects of telomere-length shortening in the clonal evolution model of cancer.
- Predator-prey interactions in marine ecosystems, in particular zooplankton-phytoplankton ecosystems.
- Qualitative analysis of linear and non-linear partial differential equation models of physiologically structured populations. In particular, age- and size-structured populations.
- Applications of operator theory in the life sciences, in particular semigroups of linear operators, spectral theory of positive operators.
- Mathematical modelling of host-parasite dynamics in aquaculture, in particular see lice dynamics on farmed and wild salmonid species.
- Sex-ratio distortions in structured insect populations, in particular the mathematical modelling of Wolbachia infection induced mechanisms.

### Projects (Showing 5 of 11)View all »

- Partial differential equation modelling of structured cell populations

PI: Dr Jozsef Zoltan Farkas

Funded by: Royal Society

– - Research in Spain on Qualitative questions of a multi-strain SIS model

PI: Dr Jozsef Zoltan Farkas

Funded by: The Carnegie Trust

– - Infinite Dimensional Dynamical Systems in the Applied Sciences - Workshop

PI: Dr Jozsef Zoltan Farkas

Funded by: Edinburgh Mathematical Society

– - Royal Society of Edinburgh International Grant

PI: Dr Jozsef Zoltan Farkas

Funded by: The Royal Society of Edinburgh

– - Towards a cognitive vision-based Mulit-agent Modelling and control Framework

PI: Professor Amir Hussain

Funded by: The British Council

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