Stochastic SIS epidemic
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
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 ...
26
Random periodic solution for a stochastic SIS epidemic model with constant population size
... Many epidemic models are described by the ordinary differential ...world, epidemic dynamics is always affected by the environmental noise, thus investigating the influence of the noises on dynamics of the ...
9
The threshold of stochastic SIS epidemic model with saturated incidence rate
... cholera epidemic spread in Bari in , Capasso and Serio [] intro- duced a saturated incidence rate +αI βIS into epidemic models, where α is a positive constant, βI measures the infection force of the ...
10
Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis
... the epidemic of infectious diseases such as smallpox, cholera, AIDS and so on have brought great disaster to the national economy of a country and people’s livelihood ...
27
The SIS epidemic model with Markovian switching
... and 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 ...
30
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
Persistence and Extinction of a Stochastic Epidemic Model with Delay and Proportional Vaccination
... [2] Q. Liu, D. Jiang, N. Shi, T., Hayat, A. Alsaedi. Asymptotic behaviors of a stochastic delayed SIR epidemic model with nonlinear incidence. Commun. Nonlinear Sci. Numer. Simul., 40 (2016) 89-99. [3] Z. ...
7
The persistence and extinction of a stochastic SIS epidemic model with Logistic growth
... model from several aspects: the result that stochastic model (9) admits a unique positive solution will be studied in the next section. The sufficient conditions of the persistence for the infected individuals would ...
10
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 perturbation ...
20
A stochastic SIS epidemic model with heterogeneous contacts.
... the SIS type dynam- ics and the pairwise epidemic ...generalized epidemic model, which allows any fi- nite number M of states (susceptible, infective, alert, ...
33
An SIS Epidemic Model with Infective Medium and Feedback Mechanism on Scale Free Networks
... normal SIS model, it shows medium contributes to epidemic ...that epidemic threshold bears no relation to the feedback parameter, but formulate shows that it can accelerate the extinction of the ...
Dynamical behaviors of a discrete SIS epidemic model with standard incidence and stage structure
... discrete epidemic models with stage structure. In [], a discrete epidemic model with stage structure governed by bilinear incidence are studied by Li and ...discrete epidemic model with standard ...
23
The deterministic Kermack McKendrick model bounds the general stochastic epidemic
... general stochastic SIR epidemic from the message passing equations of Karrer and Newman (2010), where we make use of the generalisation of initial conditions provided by Wilkinson and Sharkey ...underlying ...
15
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 ...
13
SDE SIS epidemic model with demographic stochasticity and varying population size
... SDE SIS model ...d-dimensional stochastic process, as a result the existence of a (possibly explosive) solution for our two- dimensional SDE SIS model ...
21
An SEIRS epidemic model with stochastic transmission
... Melesse and Gumel [] present a model for a disease of SEIRS type that may cause differ- ent stages of infectiousness in a patient. In a special case of the mentioned model, in this paper we study the effect of ...
16
Stochastic dynamics of an SEIS epidemic model
... disease. Stochastic differential equation (SDE) models play a significant role in various branches of applied sciences including infectious dynam- ics, as they provide some additional degree of realism compared to ...
11
Bayesian nonparametrics for stochastic epidemic models
... an epidemic model, with parametric models underlying its definition, the typical inference prob- lem involves estimating the parameters associated with the parametric models from the data to ...
13
A stochastic differential equation SIS epidemic model
... In their excellent monograph Hethcote and Yorke [14] outline several mathematical models for gonorrhea with increasing levels of complexity. The simplest of these is the above model (1.1) with µ set to zero (i.e. no ...
31