Analytic Study of Bifurcations of the Pairwise Model for SIS Epidemic Propagation on an Adaptive Network
Sign Up to like & getrecommendations! Published in 2017 at "Differential Equations and Dynamical Systems"
DOI: 10.1007/s12591-017-0348-8
Abstract: The pairwise ODE model for SIS epidemic propagation on an adaptive network with link number preserving rewiring is studied. The model, introduced by Gross et al. (Phys Rev Lett 96:208701, 2006), consists of four ODEs… read more here.
Keywords: sis epidemic; model sis; epidemic propagation; model ... See more keywords
Bifurcation and stability of a delayed SIS epidemic model with saturated incidence and treatment rates in heterogeneous networks
Sign Up to like & getrecommendations! Published in 2022 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2021.08.024
Abstract: Abstract In this paper, to characterize the limited availability of medical resources, we incorporate a saturated treatment rate into a network-based susceptible-infected-susceptible (SIS) epidemic model with time delay and nonlinear incidence rate. Analytical study shows… read more here.
Keywords: sis epidemic; treatment; incidence; epidemic model ... See more keywords
A stochastic SIS epidemic model with saturating contact rate
Sign Up to like & getrecommendations! Published in 2019 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2019.121504
Abstract: Abstract In this paper, we formulate and investigate the dynamics of a SIS epidemic model with saturating contact rate and its corresponding stochastic differential equation version. For the deterministic epidemic model, we show that the… read more here.
Keywords: epidemic model; sis epidemic; model; saturating contact ... See more keywords
Stationary distribution of a stochastic SIS epidemic model with double diseases and the Beddington-DeAngelis incidence.
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DOI: 10.1063/1.4986838
Abstract: In this paper, a stochastic Susceptible-Infected-Susceptible (SIS) epidemic model with double diseases and the Beddington-DeAngelis incidence is proposed and studied. Sufficient conditions for the existence of an ergodic stationary distribution of the positive solutions to… read more here.
Keywords: sis epidemic; stationary distribution; model double; epidemic model ... See more keywords
Dynamical behavior of a hybrid switching SIS epidemic model with vaccination and Lévy jumps
Sign Up to like & getrecommendations! Published in 2019 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2019.1575236
Abstract: Abstract In this paper, the dynamical behavior of a hybrid switching SIS epidemic model with vaccination and Lévy jumps is considered. Besides a standard geometric Brownian motion, another two driving processes are taken into account:… read more here.
Keywords: switching sis; hybrid switching; sis epidemic; epidemic model ... See more keywords
Disease extinction and persistence in a discrete-time sis epidemic model with vaccination and varying population size
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DOI: 10.2298/fil1715735f
Abstract: A discrete-time SIS epidemic model with vaccination is introduced and formulated by a system of difference equations. Some necessary and sufficient conditions for asymptotic stability of the equilibria are obtained. Furthermore, a sufficient condition is… read more here.
Keywords: sis epidemic; time sis; discrete time; epidemic model ... See more keywords