Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies

Rubem P. Mondaini is President of the BIOMAT Consortium/International Institute for Interdisciplinary Mathematical and Biological Sciences and a Full Professor of Mathematical Biology and Biological Physics at the Federal University of Rio de Janeiro, Brazil. He holds a PhD in Theoretical Physics from the Brazilian Centre for Physical Research, Brazil. His research activities abroad include a period as a Visiting Scientist at the International Centre for Theoretical Physics (ICTP), Trieste, Italy (1978) and as a Senior Postdoc at the Department of Mathematics of King's College, University of London, UK (1986). He was also a Visiting Professor at the Centre of Physics of Condensed Matter, Lisbon, Portugal (1986) and at the Department of Chemical Engineering of Princeton University (2008). He has been the Chairman of the Annual BIOMAT Conferences since their inception during the BIOMAT 2001 Symposium in Rio de Janeiro, Brazil.

Mathematical Modeling of the Vaporization of Encapsulated Perfluorocarbon Nanodroplets Using Chirp Ultrasound: A Review.- The Influence of Fear on Intraspecific Competition in Predator-Prey Dynamics: A model based study.- Dynamical study of a predator-prey interaction incorporating fear effect with saturated fear cost and prey refuge.- Optimal control of HPV infection and cervical cancer cells with Beddington-DeAngelis functional response.- On the role of the basic reproduction number in systems modelling disease propagation.- On a discretized SIS epidemic model with no vertical transmission.- Computational Modeling of Viral Infection and Immune Response in Covid-19 Patients.- Complex Dynamics of an Eco-epidemiological System with Fear and Allee Effect.- Modeling the Dynamics of Vibrio-Phage Interactions: A Mathematical Approach.- Waiting for the Perfect Vaccine.- In silico modeling of antibiotics treatment combined with corticosteroids for septic arthritis.- Epidemic model for risk-based testing and quarantine.- Simple Case of Evolutionary Discrete Dynamics for Altruism with Reputation.- An exploration of the effects of periodic top predator interference and hunting on a predator-prey system.- Modeling the Effect of Disease Characteristics on the Outcomes of Interventions.- A Comprehensive Review of Sharma-Mittal Entropy Measures and their Usefulness in the Study of Discrete Probability Distributions in Mathematical Biology.