Special Issue: Models and Mathematical Methods for fighting Infectious Diseases and easing their impact on society
Guest Editors
Prof. Higinio Ramos
Department of Applied Mathematics, Universidad de Salamanca, Salamanca, Spain
Email: higra@usal.es
Prof. Ezio Venturino
Dipartimento di Matematica, Universit`a di Torino, via Carlo Alberto 10, 10123 Torio, Italy
Email: ezio.venturino@unito.it
Manuscript Topics
The current global pandemic caused by Covid-19 has highlighted the importance of having accurate models for the epidemic spread. From their analysis and simulations, insights can be obtained about the means to adopt for the disease eradication.
In this special issue we intend to set up a forum where to discuss and present the latest topics in mathematical modelling and computational techniques used to describe epidemic processes. These processes can be formulated as dynamical systems, where the aim is to describe and understand the spread of the disease through theoretical tools of population dynamics. The mathematical models can also incorporate experimental data, to determine their parameters, with the ultimate purpose of predicting how the disease will evolve. For this, it will be necessary to make theoretical formulations, assess the values of the parameters involved from available data, run computer simulations and in turn making adjustments to the original equations, if necessary, or most likely to the parameters and tune them until the model is able to reflect reality as closely as possible and thus be able to predict its evolution.
The models are also influenced by the evolutions of the pathogen. In particular, in the case of viruses, we are seeing that they frequently suffer mutations that alter their characteristics, which may affect the way they are transmitted, their virulence or the type of cells that they can attack. These effects should be taken into account in the model formulation, while gathering other relevant information.
From the simplest SIR model, through its many variants, or other models, also of stochastic nature, or based on cellular automata, or individually-based, can be used for the disease evolution and diffusion description. To perform accurate simulations, it is imperative to use reliable tools for their solution. This usually requires the study and adoption of iterative mathematical methods that are computationally efficient.
Another current issue is the availability of different vaccines, whose reliability varies and for which it is not yet fully known how long is their efficacy. Studies that compare the use of different resources and try to minimize costs would be welcome.
In addition, the lockdown policies that have been enforced worldwide have caused considerable economic damages in some countries. There is a need for models to assess and possibly predict the next steps for economic recovery.
We encourage authors to submit original research articles that describe their current state-of-art investigations on the mathematics related to infectious diseases.
Instructions for authors
http://www.aimspress.com/mbe/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/