Mathematical Modelling of Infectious Diseases - Maria Gutierrez - The Archimedeans

This talk will be broad; we will look at many interesting techniques in mathematics that are used to model the spread of infectious diseases, but we won’t go into the fiddly details. We will explore more into the ‘modelling’ aspect. Furthermore due to requests from last talk, we will touch a bit on parameter estimation as well.

The maths (beyond the standard systems of coupled ODEs) that we will use include:
- Discrete-time models
- Partial differential equations
- Integro-differential equations
- Resonances, bifurcation diagrams and chaos!
- Branching processes
- Stochastic differential equations
- Reaction-diffusion equations

We will also run some simulations on networks and lattices! With these tools, we will explore topics in epidemiology such as stochastic dynamics and spatial models. We hope this talk will be of great interest to the applied mathematician inside each of us!

This talk will be strictly not about COVID-19.

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