The Spatial and Stochastic Epidemic Model
Global threshold dynamics of a stochastic epidemic model incorporating media coverage
... a spatial heterogeneous epidemic model with ...host-parasite model with both horizontal and vertical transmissions in a spatial heterogeneous ...T.: Stochastic epidemics in ...
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An SEIRS epidemic model with stochastic transmission
... I ∗ = α α + μ E ∗ , and this motivates the presence of the factor E in the first pair of complementary per- turbation terms. This form of the first pair of terms is particularly significant since we are specifically ...
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Stochastic dynamics of an SEIS epidemic model
... the stochastic disease dynamics of an SEIS epidemic model with latent patients and active ...and stochastic endemic dynamics in terms of R ∗ 0 ...
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The threshold of a stochastic SIQS epidemic model
... Full list of author information is available at the end of the article Abstract In this paper, we discuss the dynamics of a stochastic SIQS epidemic model. When the noise is large, the infective ...
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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 ...
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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 behavior is ...
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A stochastic differential equation SIS epidemic model
... dI(t) dt = βS(t)I(t) − (µ + γ)I(t), (1.1) with initial values S 0 + I 0 = N . N is the total size of the population amongst whom the disease is spreading. Here µ is the per capita death rate, and γ is the rate at which ...
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Threshold Dynamics of the Stochastic SIRC Epidemic Model
... the model description in Section ...chastic model is asymptotically stable and is oscillating around the endemic equilibrium of the deterministic model when t → ∞ ...
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Numerical treatment of stochastic heroin epidemic model
... a stochastic heroin epidemic model in this ...of stochastic heroin model is itself a deterministic ...the stochastic heroin epidemic ...some stochastic explicit and ...
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Dynamical behaviors of a stochastic SIRS epidemic model
... Abstract. In this paper, we study the dynamical behavior of a stochastic SIRS epidemic model with specific non- linear incidence rate and vaccination. We show the existence and positivity of the ...
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Numerical Treatment of an Epidemic Model with Spatial Diffusion
... ABSTRACT Structure preserving numerical methods are of great concern now a day. Many physical systems possess different properties which must be preserved by numerical method. For example, positivity is an important ...
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A STOCHASTIC MODEL FOR HIV EPIDEMIC WITH TREATMENT AND INFLOW OF INFECTIVES
... istic model, ...a stochastic version of global asymptotic ...their model will not be a hindrance if erad- ication strategies should be ...general model, we have been able to describe the ...
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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 ...
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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 ...
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Stationary distribution of stochastic SIRS epidemic model with standard incidence
... study stochastic versions of a deterministic SIRS(Susceptible, Infective, Re- covered, Susceptible) epidemic model with standard ...of stochastic system by the theory of integral Markov ...
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The threshold of a stochastic SIRS epidemic model in a population with varying size
... a stochastic susceptible-infected-removed-susceptible (SIRS) epidemic model in a population with varying size is ...the model parameters, we show that the solution of the stochastic ...
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A Stochastic SIVS Epidemic Model Based on Birth and Death Process
... new stochastic epidemic model, that is, a general continuous time birth and death chain model, is formulated based on a deterministic model including ...the stochastic ...
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Persistence and Extinction of a Stochastic Epidemic Model with Delay and Proportional Vaccination
... susceptible-infection-vaccinated epidemic model with proportional vaccination and generalized nonlinear rate is formulated and investigated in the ...the stochastic epidemic model ...
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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 ...
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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 ...
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