Discrete epidemic models

F Brauer, Z Feng, C Castillo-Chavez - Mathematical Biosciences & …, 2009 - aimsciences.org
… A good reason for studying discrete models is that data are collected at discrete times and …
a discrete model. Furthermore, the numerical exploration of discrete-time epidemic models is …

Some discrete-time SI, SIR, and SIS epidemic models

LJS Allen - Mathematical biosciences, 1994 - Elsevier
… for more diverse behavior in the discrete model. Period-doubling … models (positive feedback
due to births) the discrete models … -population, discrete-time epidemic models are analyzed. …

Epidemic models with discrete state structures

S Liu, MY Li - Physica D: Nonlinear Phenomena, 2021 - Elsevier
… We derive an epidemic model in which infected individuals have a discrete set of states
of infectivity and can switch among different states. The model also incorporates a general …

Introduction to Discrete-time Epidemic Models.

AA Yakubu - Modeling Paradigms and Analysis of Disease …, 2010 - books.google.com
… We use simple discrete-time SIS and SEIS epidemic models to introduce a framework for …
the SIS model to explore the relationship between the demographic equation and the epidemic

Discrete epidemic models with arbitrary stage distributions and applications to disease control

N Hernandez-Ceron, Z Feng… - Bulletin of mathematical …, 2013 - Springer
… -time and discrete-time models for epidemics. The main contribution of this study is to develop
epidemic model with arbitrarily distributed stage durations in discrete setting, as well as to …

Discrete-time vs. continuous-time epidemic models in networks

Z Chen - IEEE Access, 2019 - ieeexplore.ieee.org
… In this section, we start from a general discrete-time epidemic model, which is similar to
models in our previous works [8], [10], [12]. However, different from the previous works, in this …

Stability analysis in a class of discrete SIRS epidemic models

Z Hu, Z Teng, H Jiang - Nonlinear Analysis: Real World Applications, 2012 - Elsevier
… In this paper, the dynamical behaviors of a class of discrete-time SIRS epidemic models are
… behaviors of the discrete epidemic model compared with the continuous epidemic models. …

A discrete epidemic model with stage structure

X Li, W Wang - Chaos, Solitons & Fractals, 2005 - Elsevier
… in epidemic models. However, to our knowledge, there have been few results about discrete
epidemic models … In this paper we will propose a discrete epidemic model with the disease …

The basic reproduction number in some discrete-time epidemic models

LJS Allen, P van den Driessche - Journal of difference equations …, 2008 - Taylor & Francis
… in discrete-time epidemic models. Then, we apply this approach to several discrete-time
epidemic models, … For these discrete-time epidemic models, the calculation of ℛ 0 is new. …

A discrete epidemic model for SARS transmission and control in China

Y Zhou, Z Ma, F Brauer - Mathematical and Computer Modelling, 2004 - Elsevier
… Mathematical modelling and analysis can help to give some answers to … a discrete
mathematical model to investigate the transmission of the SARS. A comparison theorem for the …