SIS Stochastic Epidemic Model
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 ...
26
A stochastic SIS epidemic model with heterogeneous contacts.
... A 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 ...
33
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 ...
31
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
... Lanzhou University of Technology, School of Science, Lan Zhou, P. R. China ARTICLE INFO ABSTRACT In this paper, we concerned with dynamic behavior of a stochastic SIS epidemic mrdsodel with vertical ...
6
Dynamics of a stochastic SIS epidemic model with nonlinear incidence rates
... of stochastic environment noise on infection rate, a stochastic SIS epidemic model with nonlinear incidence rate is proposed and ...the stochastic system, the global dynamics is ...
19
The persistence and extinction of a stochastic SIS epidemic model with Logistic growth
... a stochastic susceptible-infected epidemic model with Logistic growth are investigated in this ...the stochastic model admits a nonnegative solution by using the Lyapunov function ...
10
The threshold of stochastic SIS epidemic model with saturated incidence rate
... Full list of author information is available at the end of the article Abstract This paper considers a stochastic SIS model with saturated incidence rate. We investigate the existence and uniqueness ...
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
Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis
... the stochastic disturbance. This implies that a stochastic disturbance has significant impact on the spread of infectious diseases and the larger stochastic disturbance leads to control the ...
27
A stochastic differential equation SIS epidemic model with two correlated Brownian motions
... previous model by correlated Brownian motions which leads to not only the increasing num- ber of noises compared to Greenhalgh’s work [4,10], but also turning the drifting coefficient into a nonlinear ...the ...
13
Random periodic solution for a stochastic SIS epidemic model with constant population size
... Keywords: Stochastic SIS epidemic model; Random periodic solution; Constant population size; Persistence; Extinction 1 Introduction Mathematical epidemiology has made a significant progress in ...
9
Stochastic regime switching SIS epidemic model with vaccination driven by Lévy noise
... Keywords: stochastic SIS epidemic model; vaccination; Lévy noise; Markov switching; global positive solution; asymptotic behavior 1 Introduction It is well known that epidemic diseases ...
15
The SIS epidemic model with Markovian switching
... the stochastic SIS model and also established conditions for extinction and persistence of the ...the stochastic Markov switching model a threshold value T 0 S was defined for almost ...
30
Outbreak analysis of an SIS epidemic model with rewiring
... an epidemic model without rewiring, called effective degree model, in which the number of susceptible neighbours of a node is used instead of its (total) ...with stochastic simulations, both of ...
28
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 ...
29
Stability analysis of a stochastic SIS model with double epidemic hypothesis and specific nonlinear incidence rate
... Abstract. The purpose of this work is to investigate the almost surely exponentially stable of a stochastic SIS model with double epidemic hypothesis and specific nonlinear incidence rate. We ...
15
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 ...
15
The threshold of a stochastic SIQS epidemic model
... fact, epidemic models are inevitably affected by environmental white noise which is an important component in realism, because it can provide an additional degree of realism in comparison to their deterministic ...
15
On the Number of Periodic Inspections During Outbreaks of Discrete-Time Stochastic SIS Epidemic Models
... and stochastic, deal with continuous-time ...the model studied by Reed and Frost in 1928, who formulate an SIR model using a discrete-time Markov chain (DTMC) [ 1 ...discrete-time model to ...
13