The effect of host population heterogeneity on epidemic outbreaks

M Bootsma, D Chan, O Diekmann, H Inaba - arXiv preprint arXiv …, 2023 - arxiv.org
In the first part of this paper, we review old and new results about the influence of host
population heterogeneity on (various characteristics of) epidemic outbreaks. In the second …

Algorithmic approach for a unique definition of the next-generation matrix

F Avram, R Adenane, L Basnarkov, MD Johnston - Mathematics, 2023 - mdpi.com
The basic reproduction number R 0 is a concept which originated in population dynamics,
mathematical epidemiology, and ecology and is closely related to the mean number of …

Advancing Mathematical Epidemic Modeling via synergies with Chemical Reaction Network Theory and Lagrange-Hamilton Geometry

F Avram, R Adenane, M Neagu - arXiv preprint arXiv:2406.03269, 2024 - arxiv.org
This essay reviews some key concepts in mathematical epidemiology and examines the
intersection of this field with related scientific disciplines, such as chemical reaction network …

Explicit mathematical epidemiology results on age renewal kernels and R0 formulas are often consequences of the rank one property of the next generation matrix

F Avram, R Adenane, D Goreac, A Halanay - arXiv preprint arXiv …, 2023 - arxiv.org
A very large class of ODE epidemic models (2.2) discussed in this paper enjoys the property
of admitting also an integral renewal formulation, with respect to an" age of infection kernel" …

Does mathematical epidemiology have general laws, besides the DFE stability theorem?

F Avram, R Adenane, D Goreac… - … Zaragoza-Pau on …, 2024 - books.google.com
A very large class of ODE epidemic models (2) discussed in this paper enjoys the property of
admitting also an integral renewal formulation, with respect to an “age of infection kernel" a …

[PDF][PDF] An essay on mathematical epidemiology, related sciences dealing with essentially non-negative kinetic systems, and on the importance of scientific computing

F Avram, R Adenane - 2023 - mateinfo.unitbv.ro
This mainly expository paper reviews some key concepts in mathematical epidemiology. Our
purpose is to make the case that currently this field is focusing too much on simple particular …