An Age of Infection Kernel, an R Formula, and Further Results for Arino–Brauer A, B Matrix Epidemic Models with Varying Populations, Waning Immunity, and Disease …
In this work, we first introduce a class of deterministic epidemic models with varying
populations inspired by Arino et al.(2007), the parameterization of two matrices …
populations inspired by Arino et al.(2007), the parameterization of two matrices …
Endemic oscillations for SARS-COV-2 Omicron—A SIRS model analysis
F Nill - Chaos, Solitons & Fractals, 2023 - Elsevier
The SIRS model with constant vaccination and immunity waning rates is well known to show
a transition from a disease-free to an endemic equilibrium as the basic reproduction number …
a transition from a disease-free to an endemic equilibrium as the basic reproduction number …
Mathematical Models for Typhoid Disease Transmission: A Systematic Literature Review
Explaining all published articles on the typhoid disease transmission model was carried out.
It has been conducted to understand how Salmonella is transmitted among humans and …
It has been conducted to understand how Salmonella is transmitted among humans and …
New results and open questions for SIR-PH epidemic models with linear birth rate, loss of immunity, vaccination, and disease and vaccination fatalities
Our paper presents three new classes of models: SIR-PH, SIR-PH-FA, and SIR-PH-IA, and
states two problems we would like to solve about them. Recall that deterministic …
states two problems we would like to solve about them. Recall that deterministic …
Advancing Mathematical Epidemic Modeling via synergies with Chemical Reaction Network Theory and Lagrange-Hamilton Geometry
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 …
intersection of this field with related scientific disciplines, such as chemical reaction network …
Symmetries and normalization in 3-compartment epidemic models I: The replacement number dynamics
F Nill - arXiv preprint arXiv:2301.00159, 2022 - arxiv.org
As shown recently by the author, constant population SI (R) S models map to Hethcote's
classic endemic model originally proposed in 1973. This unifies a whole class of models …
classic endemic model originally proposed in 1973. This unifies a whole class of models …
A look at endemic equilibria of compartmental epidemiological models and model control via vaccination and mitigation
M Chyba, T Klotz, Y Mileyko, C Shanbrom - Mathematics of Control …, 2024 - Springer
Compartmental models have long served as important tools in mathematical epidemiology,
with their usefulness highlighted by the recent COVID-19 pandemic. However, most of the …
with their usefulness highlighted by the recent COVID-19 pandemic. However, most of the …
On the Redundancy of Birth and Death Rates in Homogeneous Epidemic SIR Models
F Nill - Fractal and Fractional, 2023 - mdpi.com
The dynamics of fractional population sizes yi= Y i/N in homogeneous compartment models
with time-dependent total population N is analyzed. Assuming constant per capita birth and …
with time-dependent total population N is analyzed. Assuming constant per capita birth and …
Scaling symmetries and parameter reduction in epidemic SI (R) S models
F Nill - Symmetry, 2023 - mdpi.com
Symmetry concepts in parametrized dynamical systems may reduce the number of external
parameters by a suitable normalization prescription. If, under the action of a symmetry group …
parameters by a suitable normalization prescription. If, under the action of a symmetry group …
Dynamics of an SIR epidemic model with limited medical resources, revisited and corrected
R Adenane, F Avram, ME Fatini, RP Gupta - arXiv preprint arXiv …, 2023 - arxiv.org
This paper generalizes and corrects a famous paper (more than 200 citations) concerning
Hopf and Bogdanov-Takens bifurcations due to L. Zhou and M. Fan," Dynamics of an SIR …
Hopf and Bogdanov-Takens bifurcations due to L. Zhou and M. Fan," Dynamics of an SIR …