Work Packages
WP1.1 - Mathematical Models for Marine biofilm evolution NA(LU), BA, PA(CU)
Months 1-6 (NA) Formulation of the biofilm growth model in the marine environment.
Months 7-18 (NA-PA-BA) Analysis of the well-posedness, stability properties of the model, and instability phenomena. The Wentzell boundary conditions will also be considered.
Months 19-24 (NA) Numerical validation of the theoretical results and comparison with experimental data.
WP1.2– Mathematical modeling of marine bioremediation NA(LU), PA(CU)
Months 1-6 (NA) Derivation of the model describing the processes of pollutant bacteria degradation
Months 7-18 (NA-PA) Analysis of the well-posedness, stability properties of the model, and instability phenomena.
Months 19-24 (NA) Numerical validation of the model and comparison with experimental data.
WP2.1 - Planktonic communities dynamics PA(LU), BA, NA(CU)
Months 1-6 (PA) Formulation of the IGP-reaction-diffusion model for the Planktonic communities.
Months 7-12 (PA-NA) Analysis of the model near equilibrium. Bifurcation analysis and characterization of near equilibrium patterns.
Months 13-18 (PA) Analysis of the model far-from-equilibrium. Use of the continuation algorithms to characterize localized patterns and transition to chaos scenarios.
Months 19-24 (PA-BA) Numerical validation of the theoretical results and comparison with experimental data. The Wentzell boundary conditions will also be implemented.
WP2.2 - Posidonia meadows modeling PA(LU), BA, NA(CU)
Months 1-6 (PA-NA) Formulation of the new models for the dynamics of the Posidonia that consider the interaction with the surrounding species, like bacteria and grazing species.
Months 7-12 (PA) Formulation of the new models for the Posidonia dynamics that consider the temperature's role.
Months 13-18 (PA-NA) Stability analysis of the models, bifurcation analysis, and assessment of the environmental meaning of the destabilization scenario.
Months 19-24 (PA-BA) Numerical validation of the theoretical results and comparison with experimental data and numerical
experimentation to mimic the biodiversity response as a function of environmental shifts (temperature, pollution). The Venttsel type boundary conditions will also be implemented.
WP2.3 – Reaction-diffusion model with nonlocal boundary effects BA(LU), NA, PA(CU)
Months 1-6 (BA-PA-NA) Modeling of Bacteria communities and IGP-planktonic communities using the Wentzell boundary conditions to take into account nonlocal effects at the boundaries.
Months 7-18 (BA-PA-NA) Qualitative analysis of the above-derived models.
Months 19-24 (BA-PA-NA) Numerical validation of the models and comparison with the experimental data.
WP3.1 - Networks model for the interplay among different ecosystems BA(LU), NA, PA(CU)
Months 1-6 (BA-PA-NA) Construction of a network of ODE or PDE systems where each node describes a low dimensional ecological system.
Months 7-18 (BA) Study of the qualitative properties of the network (existence and uniqueness of the solutions, equilibria, asymptotic decay estimates)
Months 19-24 (BA) Investigation of the controllability of the system through sparse control.
WP3.2 – Numerical methods for a network of interplaying ecosystems BA(LU), NA(CU)
Months 7-18 (BA) Construction of the deep learning algorithm and neural network training.
Months 19-24 (BA, NA) Numerical validation of the network model and of the control strategies formulated in WP3.1.
WP3.3 – Lagrangian dispersal and network model for the seagrasses in the Mediterranean sea PA(LU), BA, NA(CU)
Months 1-6 (PA) Construction of a network of reaction-diffusion models where each reaction-diffusion describes the dynamics of Posidonia meadows interacting with the surrounding environment.
Months 7-12 (PA-NA) Simulation of the system to determine the critical parameters of the system and bifurcation analysis to characterize the loss of stability scenarios.
Months 13-18 (PA-BA) Analysis of the influence of the local (Turing and Hopf) instabilities on the instabilities of the network. Analysis of the role of connectivity on the destabilization and pattern formation of the local nodes.
Months 19-24 (PA-BA-NA) Construction of a realistic network for the hotspots in the Central Mediterranean and numerical experiments to investigate different scenarios for the loss of biodiversity.