SIS epidemic model
A stochastic differential equation SIS epidemic model with two correlated Brownian motions
... two correlated Brownian motions to introduce correla- tion of noises in SIS epidemic model. Considering two correlated Brownian motions, one with linear diffusion coefficient and the other with ...
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Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis
... stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis is proposed and ...of epidemic diseases by considering the stability of the equilibria of the ...
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Stability of a Numerical Discretisation Scheme for the SIS Epidemic Model with a Delay
... Abstract—This paper deals with stability properties of the discrete numerical scheme for the SIS epidemic model with maturation delay. We provide the suffi- cient conditions of the numerical ...
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SDE SIS epidemic model with demographic stochasticity and varying population size
... a model for AIDS and condom use with two distinct ...deterministic model of internal HIV viral dynamics via the same technique of parameter perturbation into the death rate of healthy cells, infected cells ...
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Dynamics of a stochastic SIS epidemic model with nonlinear incidence rates
... stochastic SIS epidemic model with nonlinear incidence rate is proposed and ...the epidemic disease to go to extinction in the stochastic system is weaker than that of the deterministic ...
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The bifurcation analysis and optimal feedback mechanism for an SIS epidemic model on networks
... the epidemic can have a vital effect on the disease’s ...an SIS epidemic model on heterogeneous ...the SIS epidemic network model by applying the optimal control ...
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The SIS epidemic model with Markovian switching
... stochastic SIS epidemic ...an SIS epidemic model with vaccination and Van den Driessche and Watmough [37] study backward bifurcation in an SIS epidemic model with ...
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The persistence and extinction of a stochastic SIS epidemic model with Logistic growth
... understand epidemic transmission dynamics since the work of Kermack and McKendrick [6] was ...an SIS epidemic model under the assumption that the susceptible individuals followed the Logistic ...
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Complex dynamics in an SIS epidemic model with nonlinear incidence
... well-known SIS epidemic model, the population is always separated into two com- partments, susceptible and infective ...most SIS epidemic models (see An- derson and May [1]), the ...
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Global stability of an SIS epidemic model with feedback mechanism on networks
... We study the global stability of endemic equilibrium of an SIS epidemic model with feedback mechanism on networks. The model was proposed by J. Zhang and J. Sun (Physica A 394:24–32, 2014), ...
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Stochastic regime switching SIS epidemic model with vaccination driven by Lévy noise
... stochastic SIS epidemic model with vaccination by introducing a Lévy noise and regime switching into the epidemic ...stochastic model admits a unique global positive ...switching ...
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A stochastic differential equation SIS epidemic model
... classical SIS epidemic model from a deterministic framework to a stochastic one, and formulate it as a stochastic differential equation (SDE) for the number of infectious individuals I ...
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Extinction and persistence of a stochastic SIS epidemic model with vertical transmission, specific functional response and Levy jumps
... Abstract. In this paper, we study the dynamics of a stochastic SIS epidemic model with vertical transmission and specific functional response. The environment variability in this work is ...
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Demographic stochasticity in the SDE SIS epidemic model
... the SIS epidemic model, for example Hethcote [17] studied the SIS epidemic model involving different factors such as disease mortality and ...The SIS epidemic ...
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Dynamical behaviors of a discrete SIS epidemic model with standard incidence and stage structure
... discrete SIS epidemic model with stage structure and standard incident rate which is governed by Beverton-Holt type is ...discrete epidemic model compared with the corresponding ...
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Asymptotic behavior of a multigroup SIS epidemic model with stochastic perturbation
... Lajmanovich and Yorke [] proposed a deterministic model for the spread of gonor- rhea. Since the spread of gonorrhea in a population is highly nonuniform, they developed a deterministic SIS ...
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The threshold of stochastic SIS epidemic model with saturated incidence rate
... In this paper, we have considered the features of a SIS epidemic system with the effect of environmental white noise. Firstly, we show that the solution of system (.) is glob- ally positive. An important ...
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Random periodic solution for a stochastic SIS epidemic model with constant population size
... where S(t) represents the number of individuals susceptible to the disease at time t, and I(t) represents the number of infected individuals. N is a constant input of new members into the population per unit time; β is ...
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Analysis of an SIS epidemic model with treatment
... many epidemic models have been proposed and analyzed in recent years (see ...into SIS model to extend the ...an SIS model with bilinear incidence rate βSI and ...The model takes ...
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The asymptotic behavior of a stochastic SIS epidemic model with vaccination
... difference between the solution and the endemic equilibrium of the deterministic model in time average, they derived that the disease would persist. However, the authors did not consider the case when the ...
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