SIS Epidemic Models
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 ...stochastic ...
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A stochastic differential equation SIS epidemic model
... possible epidemic models and because it is so simple it and its variants are commonly ...example, SIS models are discussed by Brauer et ...of SIS epidemic models in the ...
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SDE SIS epidemic model with demographic stochasticity and varying population size
... on SIS epidemic models with varying population ...an SIS epidemic model with varying population size and a time ...SDE SIS epidemic model with standard incidence and ...
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Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis
... two SIS epidemic models with Beddington-DeAngelis incidence rate and double epidemic hypothesis from the point of view of deterministic and stochastic as- ...both epidemic diseases were ...
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Stability of a Numerical Discretisation Scheme for the SIS Epidemic Model with a Delay
... the SIS epidemic models. In a general SIS model, the population size N (t) is divided into two groups: I(t) the infected population size, and S(t) the susceptible pop- ulation ...the ...
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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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Contrasting Effects of Strong Ties on SIR and SIS Processes in Temporal Networks
... (SIS) epidemic models on activity driven networks with and without memory ...SIR models by shifting the epidemic threshold to larger values and reducing the final fraction of recovered ...
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A stochastic differential equation SIS epidemic model with two correlated Brownian motions
... Moreover, it is necessary to consider if there is a rela- tionship between these two perturbation. And if we use the same data in real world to construct these two Brow- nian motions, they are very likely to be ...
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Epidemic models, Equilibrium points, SEIRS epidemic models; SVEIRS epidemic models, positivity, vaccination control.
... Proposition 7. Assume that V c 0 , 1 . Then , the SVEIRS epidemic model (1.1)-(1.5) is positive in the sense that no partial population is negative at any time if its initial conditions are non-negative and ...
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The bifurcation analysis and optimal feedback mechanism for an SIS epidemic model on networks
... In order to show the effectiveness of the proposed optimal control strategy, we make a comparison between several constant controls and optimal control. For example, from Fig. 3, one can see that the optimal control can ...
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A review on West African Ebola epidemic dynamics models
... Since virus is transmitted through contact with infectious body fluids of individual or cadavers. Ebola tends to be transmitted during funeral because of observed burial traditions. Interventions in safe burial will ...
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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 results. Li et al. (see []) studied an SIS model with bilinear incidence rate βSI ...
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Parameter estimation for the stochastic SIS epidemic model
... In this paper we have applied the pseudo-MLE and the least squares method to estimate the parameters in the stochastic SIS model. For the least squares method, we started with the case in which only one data set ...
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Asymptotic behavior of a multigroup SIS epidemic model with stochastic perturbation
... stochastic SIS model (.) with one group. They proved that this SIS model has a unique global positive solution and establish conditions for the extinction and persistence of the ...
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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 continuous ...
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Study of predator switching in an eco-epidemiological model with disease in the prey
... In this section an eco-epidemiological model describing a prey-predator system with switching in the predator is proposed for study, the system involving an SIS epidemic disease in prey population. In the ...
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A New Nonlinear Retarded Integral Inequality and Its Application
... Pachpatte, “On a new inequality suggested by the study of certain epidemic models,” Journal of Mathematical Analysis and Applications, vol.. Gripenberg, “On some epidemic models,” Quarte[r] ...
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Stochastic regime switching SIS epidemic model with vaccination driven by Lévy noise
... The asymptotic behavior of solutions to SDEs is very important. From the view of appli- cations, investigating the stability in distribution is a more interesting question in stochas- tic population systems. Bao et al. ...
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Random periodic solution for a stochastic SIS epidemic model with constant population size
... , which is the threshold of the corresponding deterministic SIS model. Clearly, R T 0 < R T , this means that the disease may go extinct due to the noises, while the deterministic SIS model predicts its ...
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Dynamics of stochastic sis epidemic model with vertical transmission
... realism, epidemic models are always affected by the environmental noise (Mao,, ...the epidemic model. In this article, based on a deterministic epidemic model (1), we shall propose a new model ...
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