New Trends on the Systems Approach to Modeling SARS-CoV-2 Pandemics in a Globally Connected Planet
arXiv:2405.00541 · doi:10.1142/S0218202524500301
Abstract
This paper presents a critical analysis of the literature and perspective research ideas for modeling the epidemics caused by the SARS-CoV-2 virus. It goes beyond deterministic population dynamics to consider several key complexity features of the system under consideration. In particular, the multiscale features of the dynamics from contagion to the subsequent dynamics of competition between the immune system and the proliferating virus. Other topics addressed in this work include the propagation of epidemics in a territory, taking into account local transportation networks, the heterogeneity of the population, and the study of social and economic problems in populations involved in the spread of epidemics. The overall content aims to show how new mathematical tools can be developed to address the above topics and how mathematical models and simulations can contribute to the decision making of crisis managers.
References in corpus (15)
- What social media told about us in the time of COVID-19: a scoping review
- Wealth distribution under the spread of infectious diseases
- Spatial spread of COVID-19 outbreak in Italy using multiscale kinetic transport equations with uncertainty
- Kinetic modelling of epidemic dynamics: social contacts, control with uncertain data, and multiscale spatial dynamics
- Mathematical modeling of glioma invasion and therapy approaches via kinetic theory of active particles
- Asymptotic-Preserving Neural Networks for multiscale hyperbolic models of epidemic spread
- An SIR model with viral load-dependent transmission
- A Bayesian generative neural network framework for epidemic inference problems
- An SIR-like kinetic model tracking individuals' viral load
- A stochastic model for the influence of social distancing on loneliness
- Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties
- Effects of vaccination efficacy on wealth distribution in kinetic epidemic models
- A bi-fidelity stochastic collocation method for transport equations with diffusive scaling and multi-dimensional random inputs
- Asymptotic-Preserving Neural Networks for hyperbolic systems with diffusive scaling
- Modelling contagious viral dynamics: a kinetic approach based on mutual utility