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 …
Stability analysis of an eight parameter SIR-type model including loss of immunity, and disease and vaccination fatalities
We revisit here a landmark five-parameter SIR-type model, which is maybe the simplest
example where a complete picture of all cases, including non-trivial bistability behavior, may …
example where a complete picture of all cases, including non-trivial bistability behavior, may …
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 …
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 …
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 …
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 …
[PDF][PDF] Can the Lotka-Volterra canonical form and mass-action kinetics help for studying epidemiology and virology models?
F Avram - 2022 - 15colfrro.sciencesconf.org
The sister disciplines of (deterministic) mathematical epidemiology and virology, chemical
reaction networks (CRN), and biochemical systems started all as collections of examples of …
reaction networks (CRN), and biochemical systems started all as collections of examples of …