WG1A: Mathematical Analysis, Data-Analysis and Statistics
Vice Leader: Dr. Tatjana Atanasova – Pachemska, fYR Macedonia
Objectives: This working group, equipped with cutting-edge knowledge in new mathematical methods in epidemiology and understanding of diverse EU related projects, is responsible for modelling and including control measures and invasion scenarios into new world regions like Europe:
- Data-analysis of mobility patterns is a core research area of this group;
- Another aspect is to define theoretical tools to measure the efficacy gained from the real data related to disease cases, in case of discussed application of avant-garde mosquito repellents combating diseases using nano-micro-particles on textiles, paints and other materials. Action participants from other Working Partners (WPs) are ready to invest in pilot studies. In this connection, already existing data will be sought.
- Another research line discussed in this group is the crossing between applied mathematics, statistical physics and epidemiology in relation to spreading of mosquito transmitted infectious diseases on large geographical areas including the complexity and stochastic effects in disease dynamics;
- Some analytical methods include Optimal Control Theory. The basic properties of the solutions to structure nonlinear population dynamics with emphasis on existence, uniqueness, positivity, comparison results and large-time behaviour of the solution, will be investigated;
- Another subject related to the topic of the proposed project is the controllability of age-structured population dynamics. In this framework, some stabilization and controllability problems for models describing the dynamics of some diffusive populations must be partially studied.
- To meet in formal COST Action Workshop yearly to discuss the delivery of the objectives;
- To inform other Workgroups about the progress and implement their experimental, industrial andpractical results in the mathematical framework;
- To organise formal COST Action training for members within the WG where necessary;
- Centre Visits combined with workshop and training to maximise learning new techniques.
- Development of mathematical tools for analysing data in a possible field study within 12-24 months
- Publication of results in high impact peer reviewed journals.