Much of the mathematical modelling work at BioSS involves simulating the population dynamics of a variety of species, ranging from gut microbes to crop pests to the spread of disease through different populations. We develop continuous time models based on:   

Ordinary differential equations

• Modelling the emergent dynamics of human gut bacteria
• Investigating mechanisms for maintaining diversity in resource-based models for gut bacteria with pH feedback

Delay differential equations

• Modelling the risk of West Nile Virus in the UK
• Modelling Natural Pest Management of Aphids
• Models for management of potato cyst nematodes under climate change in Scotland

Stochastic processes

• Stochastic differential equations for population processes including modelling the characteristics of disease surveillance in wildlife
• Understanding endemic persistence of Foot and Mouth Disease
• Age-structured population level Markov process models of COVID-19 transmission
• Individual-based Markov and semi-Markov process models of host genetic effects on disease dynamics
• Markov process models of individual livestock trading behaviour coupled to the dynamics of endemic disease
• Spatial models for spread of forest pests and livestock disease