SIS model
Stability analysis of a fractional order SIS model on complex networks with linear treatment function
... the model. In Ref. [30], a general SIS model with infective vectors on complex networks was studied, and a new technique based on the basic reproduction matrix was ...SIR model without ...
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Bifurcation and chaos of an SIS model with logistic term
... On the other hand, simple models, by their own nature, cannot incorporate many of the com- plex biological factors. However, they often provide useful insights to help our understanding of complex process. For such ...
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Oscillatory Behavior of a Network Epidemic SIS Model with Nonlinear Infectivity
... This paper discusses an epidemic SIS model with time delays. The oscillatory behavior of the solutions about the equilibrium point is studied. Two sufficient conditions are provided to guarantee the ...
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Stability of a Numerical Discretisation Scheme for the SIS Epidemic Model with a Delay
... This section contains our main contributions to the anal- ysis of numerical solutions of the SIS model (4)-(5). Firstly, we introduce a numerical scheme for the problem, and then analyse its stability near ...
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Random periodic solution for a stochastic SIS epidemic model with constant population size
... to admit at least one random periodic solution which is nontrivial and located in (0, N) × (0, N). Further, the conditions for persistence and extinction of the disease are also established, where a threshold is given in ...
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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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SDE SIS epidemic model with demographic stochasticity and varying population size
... SDE SIS model with full demographic stochasticity with transmission term λ( N N ) S ( ( t t ) ) I ( t ) ...SDE SIS model assumes that the total population size is constant thus susceptible or ...
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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 ...stochastic ...
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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 Hölder ...
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Dynamical behaviors of a discrete SIS epidemic model with standard incidence and stage structure
... standard SIS model, the incidence rate is bilinear and is given by βIS, where I and S are respectively the numbers of infective and susceptible individuals per unit area and β is the transmission ...
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Global stability of an SIS epidemic model with feedback mechanism on networks
... the SIS model and showed that the finite-size effects induce an epidemic threshold, which ap- proaches zero at increasing sizes, so that if the effective spreading rate is above this thresh- old, then the ...
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The bifurcation analysis and optimal feedback mechanism for an SIS epidemic model on networks
... network-based SIS model to analyze the epidemic ...as SIS [7–11], SIR [12, 13], SIRS [14, 15], WSIS [16], and SIQRS model [17], have been proposed to understand the transmission of infec- ...
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The threshold of stochastic SIS epidemic model with saturated incidence rate
... This paper considers a stochastic SIS model with saturated incidence rate. We investigate the existence and uniqueness of the positive solution to the system, and we show the condition for the infectious ...
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Asymptotic behavior of a multigroup SIS epidemic model with stochastic perturbation
... In this paper, we introduce stochasticity into a multigroup SIS model. We present the sufficient condition for the exponential extinction of the disease and prove that the noises significantly raise the ...
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Stochastic regime switching SIS epidemic model with vaccination driven by Lévy noise
... To formulate epidemic models with vaccination, we often let S(t) to denote the number of members that are susceptible to infections at time t, I(t) denotes the number of mem- bers that infective at time t, and V(t) ...
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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 ...
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A stochastic differential equation SIS epidemic model
... Example 6.4 We now use the same parameter values β = 0.5, N = 100, µ = 20 and γ = 25 for both σ = 0.02 and 0.001 and show the results of running 1,000 simulations of the path I(t) for the recurrent SDE SIS ...
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Demographic stochasticity in the SDE SIS epidemic model
... stochastic SIS model with demographic stochasticity, for example Lindenstrand and Andersson [24] looked at a two dimensional Markov process and analysed the behaviour of the model close to quasi- ...
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A Comparison of Threshold Parameters in Deterministic SIS and SI1I2S Models and Stochastic SIS and SI1I2S Models.
... than one suggesting an endemic disease. Figures 3.1b-d show the frequency of the number of infected individuals for 500 trials at different time steps for the stochastic SIS model with uniform parameters α ...
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Analysis of an SIS epidemic model with treatment
... into SIS model to extend the ...an SIS model with bilinear incidence rate βSI and ...The model takes into account the medical ...
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