SEIR modeling of the COVID-19 and its dynamics

S He, Y Peng, K Sun - Nonlinear dynamics, 2020 - Springer
In this paper, a SEIR epidemic model for the COVID-19 is built according to some general
control strategies, such as hospital, quarantine and external input. Based on the data of …

[KÖNYV][B] Elements of applied bifurcation theory

YA Kuznetsov, IA Kuznetsov, Y Kuznetsov - 1998 - Springer
The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modeling and the …

[KÖNYV][B] Modeling infectious diseases in humans and animals

MJ Keeling, P Rohani - 2008 - books.google.com
For epidemiologists, evolutionary biologists, and health-care professionals, real-time and
predictive modeling of infectious disease is of growing importance. This book provides a …

Seasonality in epidemic models: a literature review

B Buonomo, N Chitnis, A d'Onofrio - Ricerche di Matematica, 2018 - Springer
We provide a review of some key literature results on the influence of seasonality and other
time heterogeneities of contact rates, and other parameters, such as vaccination rates, on …

Threshold dynamics for compartmental epidemic models in periodic environments

W Wang, XQ Zhao - Journal of Dynamics and Differential Equations, 2008 - Springer
The basic reproduction ratio and its computation formulae are established for a large class
of compartmental epidemic models in periodic environments. It is proved that a disease …

Realistic distributions of infectious periods in epidemic models: changing patterns of persistence and dynamics

AL Lloyd - Theoretical population biology, 2001 - Elsevier
Most mathematical models used to study the epidemiology of childhood viral diseases, such
as measles, describe the period of infectiousness by an exponential distribution. The effects …

Approximation of the Basic Reproduction Number R 0 for Vector-Borne Diseases with a Periodic Vector Population

N Bacaër - Bulletin of mathematical biology, 2007 - Springer
The main purpose of this paper is to give an approximate formula involving two terms for the
basic reproduction number R 0 of a vector-borne disease when the vector population has …

Destabilization of epidemic models with the inclusion of realistic distributions of infectious periods

AL Lloyd - Proceedings of the Royal Society of London …, 2001 - royalsocietypublishing.org
Most mathematical models used to understand the dynamical patterns seen in the incidence
of childhood viral diseases, such as measles, employ a simple, but epidemiologically …

The SIRC model and influenza A

R Casagrandi, L Bolzoni, SA Levin… - Mathematical …, 2006 - Elsevier
We develop a simple ordinary differential equation model to study the epidemiological
consequences of the drift mechanism for influenza A viruses. Improving over the classical …

[KÖNYV][B] Numerical bifurcation analysis of maps

IUA Kuznet︠s︡ov, YA Kuznetsov, HGE Meijer - 2019 - books.google.com
This book combines a comprehensive state-of-the-art analysis of bifurcations of discrete-
time dynamical systems with concrete instruction on implementations (and example …