[PDF] Top 20 The persistence and extinction of a stochastic SIS epidemic model with Logistic growth
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The persistence and extinction of a stochastic SIS epidemic model with Logistic growth
... understand epidemic transmission dynamics since the work of Kermack and McKendrick [6] was ...with growth of local population ...an SIS epidemic model under the assumption that the ... See full document
10
Extinction and persistence of a stochastic SIS epidemic model with vertical transmission, specific functional response and Levy jumps
... a stochastic SIS epidemic model with vertical transmission and specific functional ...investigate extinction and persistence in mean of the ... See full document
15
The asymptotic behavior of a stochastic SIS epidemic model with vaccination
... multigroup SIS model in ...exponential extinction of the disease and proved that the noises significantly raise the threshold of a deterministic ...of persistence, they proved that there exists ... See full document
20
Random periodic solution for a stochastic SIS epidemic model with constant population size
... for persistence and extinction of the disease are also established, where a threshold is given in the case that the noise is ...autonomous SIS model, it is generalized to its averaged value in ... See full document
9
Persistence and Extinction of a Stochastic Epidemic Model with Delay and Proportional Vaccination
... a stochastic delayed SIR epidemic model with nonlinear ...Wang. Persistence and extinction for a class of stochastic SIS epidemic models with nonlinear incidence ... See full document
7
The SIS epidemic model with Markovian switching
... well-known SIS epidemic ...the stochastic SIS epidemic model, which is useful in performing computer ...for extinction and persistence for the stochastic ... See full document
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Asymptotic behavior of a multigroup SIS epidemic model with stochastic perturbation
... The aim of this paper is to study the asymptotical behavior of the solutions of system (.). The rest of this paper is organized as follows. In Section , we show that system (.) has a unique nonnegative solution. In ... See full document
9
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 I ... See full document
31
A stochastic differential equation SIS epidemic model with two correlated Brownian motions
... susceptible epidemic model with two correlated Brow- nian ...deterministic SIS model and formulate the original model as a stochastic differential equation with two cor- related ... See full document
13
Extinction and persistence of a stochastic SIRS epidemic model with saturated incidence rate and transfer from infectious to susceptible
... mathematical model to explain the recurrent epidemic of measles ...equation model to in- vestigate the spread of malaria ...classical epidemic model known as SIR model [8], in ... See full document
11
Persistence and stability of the disease free equilibrium in a stochastic epidemic model with imperfect vaccine
... on model () to (I): ob- taining explicit conditions that can ensure the disease to be persistent; (II): further devel- oping the conditions for the infectious class to be ...the extinction and per- ... See full document
14
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 ... See full document
12
Demographic stochasticity in the SDE SIS epidemic model
... SDE SIS model with demographic stochasticity that we shall look at in this paper has been derived fully in details in [1] with the model given in section ...this model, we have assumed that an ... See full document
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Stability analysis of a stochastic SIS model with double epidemic hypothesis and specific nonlinear incidence rate
... deterministic model (1). In Section 3, we prove that the stochastic system (2) has a unique global positive solution and we give a sufficient condition for the almost sure exponential stability of the ... See full document
15
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 ...an SIS model with bilinear incidence rate βSI and ...The model takes ... See full document
10
Stationary distribution and extinction of a stochastic SIRS epidemic model with information intervention
... average extinction time of I(t). The average extinction time for different noise intensities is ...average extinction time of disease decreases with the increase of ... See full document
19
Complex dynamics in an SIS epidemic model with nonlinear incidence
... community. Firstly, the existence and local stability of disease-free and endemic equilibria are investigated. Then we prove the occurrence of backward bifurcations, saddle-node bifurcations, Hopf bifurcations and cusp ... See full document
22
Modelling the effect of telegraph noise in the SIRS epidemic model using Markovian switching
... Lotka–Volterra model with telegraph ...Lotka–Volterra model under regime ...complicated model, the SIRS model, by using the concept of MS to include telegraph noise to give the MS SIRS ... See full document
21
Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching
... where a is the rate of growth, a/b is the carrying capacity, and both a and b are positive constants. It is well known that the population survives indefinitely and there is a stable and globally attractive ... See full document
27
A Mathematical Model for SIS Cholera Epidemic with Quarantine Effect
... cholera epidemic model of Nirwani N. et al. [7] and converted into SIS cholera epidemic model with quarantine effect which is a generalized ... See full document
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