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A Spatial Kinetic Model of Crowd Evacuation Dynamics with Infectious Disease Contagion
(2023-04-01)
This paper proposes a kinetic theory approach coupling together the modeling of crowd evacuation from a bounded domain with exit doors and infectious disease contagion. The spatial movement of individuals in the crowd is ...
Modeling Dengue Immune Responses Mediated by Antibodies: Insights on the Biological Parameters to Describe Dengue Infections
(2022-03-18)
Dengue fever is a viral mosquito-borne disease, a significant global health concern, with more than one third of the world population at risk of acquiring the disease. Caused by 4 antigenically distinct but related virus ...
Seasonally Forced SIR Systems Applied to Respiratory Infectious Diseases, Bifurcations, and Chaos
(2022-03-03)
We investigate models to describe respiratory diseases with fast mutating virus pathogens such that after some years the aquired resistance is lost and hosts can be infected with new variants of the pathogen. Such models ...
Understanding COVID-19 Epidemics: A Multi-Scale Modeling Approach
(2022-02-18)
COVID-19 was declared a pandemic by the World Health Organization in March 2020 and, since then, research on mathematical modeling became imperative and very influential to understand the epidemiological dynamics of disease ...
Mathematical models for dengue fever epidemiology: a 10-year systematic review
(2022-02-15)
Mathematical models have a long history in epidemiological research, and as the COVID-19 pandemic progressed, research on mathematical modeling became imperative and very influential to understand the epidemiological ...
Spatially Extended SHAR Epidemiological Framework of Infectious Disease Transmission
(2022-02-13)
Mathematical models play an important role in epidemiology. The inclusion of a spatial component in epidemiological models is especially important to understand and address many relevant ecological and public health ...
Modeling dengue immune responses mediated by antibodies: A qualitative study
(2021-09-01)
Dengue fever is a viral mosquito-borne infection and a major international public health concern. With 2.5 billion people at risk of acquiring the infection around the world, disease severity is influenced by the immunological ...
Critical fluctuations in epidemic models explain COVID‑19 post‑lockdown dynamics
(2021-07-06)
As the COVID-19 pandemic progressed, research on mathematical modeling became imperative and
very influential to understand the epidemiological dynamics of disease spreading. The momentary
reproduction ratio r(t) of an ...
What is life? A perspective of the mathematical kinetic theory of active particles
(2021)
The modeling of living systems composed of many interacting entities is treated in this paper with the aim of describing their collective behaviors. The mathematical approach is developed within the general framework of ...