The deterministic SIS model
The SIS epidemic model with Markovian switching
... We next recall that in the deterministic SIS model (1.5) the disease will always go extinct even if R D 0 = 1. The reader may ask what happens to the stochastic SIS model (2.3) if the ...
30
A Comparison of Threshold Parameters in Deterministic SIS and SI1I2S Models and Stochastic SIS and SI1I2S Models.
... Chapter 5 Conclusion Stochastic epidemic models are important in providing a more realistic model of disease spread in populations. The infection rate and recovery rate in practice are not constant and change over ...
52
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 ...
31
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 model is the ...
29
The asymptotic behavior of a stochastic SIS epidemic model with vaccination
... Figure 2 The solution of system (1.3) and system (1.1) with t = 0.001, R 0 < 1. The picture on the left represents the solution of system (1.3) with σ = 0.3, and the other represents the solution of the corresponding ...
20
Dynamics of stochastic sis epidemic model with vertical transmission
... The SIS epidemic model is an important model in epidemiological patterns and disease control, and it has been studied by many authors (Kermack and Mckendrick, 1927; Gao and Hethcote, 1992; Li and Ma, ...
6
Dynamics of a stochastic SIS epidemic model with nonlinear incidence rates
... stochastic SIS epidemic model with nonlinear incidence rate is proposed and ...corresponding deterministic system, the threshold which determines the extinction or permanence of the disease is ...
19
The threshold of stochastic SIS epidemic model with saturated incidence rate
... 6 Conclusion 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 ...
10
Asymptotic behavior of a multigroup SIS epidemic model with stochastic perturbation
... Full list of author information is available at the end of the article Abstract In this paper, we introduce stochasticity into a multigroup SIS model. We present the sufficient condition for the exponential ...
9
Bifurcations for a deterministic SIR epidemic model in discrete time
... SI, SIS, and SIR models differs from that of their continuous ...the SIS model is possible. However, for the case of the SIR model with positive feedback (births and deaths) the author only ...
16
A. Deterministic Model
... Abstract—Routers typically provide a value of aggregate traffic forwarded from source to destination during fixed inter- vals, however there is no information as to how this value has evolved within the interval. This ...
5
Analysis of an SIS epidemic model with treatment
... Abstract An SIS epidemic model with saturated incidence rate and treatment is considered. According to different recovery rates, we use differential stability theory and qualitative theory to analyze the ...
10
A deterministic model of the free will phenomenon
... A model of free will Let us start with a complicated but logical decision making ...use model-based, utility-based agent, a goal based decision making which includes internal measures – the ...to ...
20
A deterministic width function model
... (IRP) model that, while accounting ex- plicitly for the self-similarity of natural river networks, prop- erly captures their non-negativity, non-stationarity, and the power-law decay of their spectral density ...
5
Parameter estimation for the stochastic SIS epidemic model
... 4 Summary and Further Work 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 ...
26
A stochastic SIS epidemic model with heterogeneous contacts.
... stochastic model for the spread of an SIS epidemic among a population consisting of N individuals, each having heterogeneous infectiousness and/or susceptibility, is considered and its behavior is analyzed ...
33
Outbreak analysis of an SIS epidemic model with rewiring
... an SIS epidemic model defined on networks. The model, introduced by Gross, D’Lima and Blasius in 2006, is based on the pair-approximation formalism and assumes that, at a given rewiring rate, ...
28
Bifurcation and chaos of an SIS model with logistic term
... Abstract. This paper presents a discrete-time SIS epidemic model with Logistic term. The transcritical bifurcation, flip bifurcation and Hopf bifurcation are investigated. The results show that the epidemic ...
12
A Mixed Deterministic Model for Coreference Resolution
... mixed deterministic model for coreference resolution in the CoNLL-2012 shared ...our model, mention detection and coreference resolution, into several sub-tasks which are solved by machine learning ...
7
DETERMINISTIC FACTORS FOR CHOOSING OF DISTRIBUTION MODEL
... DISTRIBUTION MODEL? The choice of a distribution set up is strongly influenced by many factors mostly relating to the product that company is selling to their ...
7