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SIRS epidemic model

Mathematical modeling of optimized SIRS epidemic model and some dynamical behavior of the solution

Mathematical modeling of optimized SIRS epidemic model and some dynamical behavior of the solution

... In this paper, a generalized mathematical model of spread of infectious disease as SIRS epidemic model is considered as a nonlinear system of differential equations. We prove that for positive ...

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Stationary distribution of stochastic SIRS epidemic model with standard incidence

Stationary distribution of stochastic SIRS epidemic model with standard incidence

... the SIRS models, susceptible individuals may become infected by contact with infective individuals, and after some time, recovered individuals become susceptible ...continuous SIRS epidemic ...

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Modelling the effect of telegraph noise in the SIRS epidemic model using Markovian switching

Modelling the effect of telegraph noise in the SIRS epidemic model using Markovian switching

... an SIRS epidemic ...and SIRS epidemic models to illustrate respectively diseases where there is a permanent acquired immunity such as measles [12] and where there is a temporary acquired ...

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Bifurcation analysis of a discrete \({SIRS}\) epidemic model with standard incidence rate

Bifurcation analysis of a discrete \({SIRS}\) epidemic model with standard incidence rate

... discrete-time SIRS epidemic ...dimensional epidemic model should be ...discrete-time SIRS epidemic model, which is more realistic for the spread of the disease ...

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Application of stochastic inequalities to global analysis of a nonlinear stochastic SIRS epidemic model with saturated treatment function

Application of stochastic inequalities to global analysis of a nonlinear stochastic SIRS epidemic model with saturated treatment function

... into the SIR model, where β > 0, α ≥ 0. β is the cure rate and α represents the extent to which the infected effect delays the treatment. In [40], authors found that the valid meth- ods for the control of ...

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Dynamical behaviors of a stochastic SIRS epidemic model

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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Stationary distribution and extinction of a stochastic SIRS epidemic model with information intervention

Stationary distribution and extinction of a stochastic SIRS epidemic model with information intervention

... In this paper, we have investigated the dynamic behavior of a new SIRS epidemic model which considers the influence of information intervention and environmental noise. It has been found that ...

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The Effect of State Dependent Control for an SIRS Epidemic Model with Varying Total Population

The Effect of State Dependent Control for an SIRS Epidemic Model with Varying Total Population

... know, epidemic model with varying total population and state-de- pendent feedback control strategies had never been done in the ...an SIRS epidemic model with varying total population ...

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Analysis of an SIRS epidemic model with nonlinear incidence and vaccination

Analysis of an SIRS epidemic model with nonlinear incidence and vaccination

... an SIRS epidemic model with a nonlinear incidence rate and ...the model. We calculate the basic reproduction number of the proposed model by using the next generation matrix ...

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STABILITY ANALYSIS OF A DELAYED FRACTIONAL ORDER SIRS EPIDEMIC MODEL WITH NONLINEAR INCIDENCE RATE

STABILITY ANALYSIS OF A DELAYED FRACTIONAL ORDER SIRS EPIDEMIC MODEL WITH NONLINEAR INCIDENCE RATE

... [13], epidemic model [14], and so ...the epidemic models using the fractional derivative, see, ...order SIRS epidemic model with nonlinear incidence ...

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An SIRS epidemic model of Japanese Encephalitis

An SIRS epidemic model of Japanese Encephalitis

... some proportion of immune reservoir population also acts as infective active carrier, and the constraint that the degree of infectivity reduces with the increase of immunity status in th[r] ...

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Extinction and persistence of a stochastic SIRS epidemic model with saturated incidence rate and transfer from infectious to susceptible

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 ...

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The threshold of a stochastic SIRS epidemic model in a population with varying size

The threshold of a stochastic SIRS epidemic model in a population with varying size

... clearly fails to hold for diseases that are endemic in communities with changing populations, and for diseases which raise the mortality rate substantially. Well- known examples of such diseases are malaria in developing ...

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Analysis of an SIRS epidemic model with time delay on heterogeneous network

Analysis of an SIRS epidemic model with time delay on heterogeneous network

... susceptible nodes, infected nodes, and recovered nodes of connectivity k at time t, re- spectively, where k = m, m + , . . . , n, in which m and n are the minimum and maximum degree in network topology, respectively. ...

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Dynamical analysis of an SIRS network model with direct immunization and infective vector

Dynamical analysis of an SIRS network model with direct immunization and infective vector

... an SIRS epidemic model [] with direct immuniza- tion on complex networks, the result shows that the direct immunization can increase the epidemic threshold and reduce the prevalence of ...

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An stochastic sirs model with nonlinear incidence rate and transfer from infectious to susceptible

An stochastic sirs model with nonlinear incidence rate and transfer from infectious to susceptible

...  was frequently used (Kermack, 1927; Hethcote and Herbert, 2000; Mena-Lorca and Hethcote, 1992; Liu et al., 2017; Li et al., 2013). In Li et al. propose the following SIRS epidemic model with a ...

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Epidemic cycling in a multi-strain SIRS epidemic network model

Epidemic cycling in a multi-strain SIRS epidemic network model

... strain SIRS epidemic model in a host population with every individual in contact with a fixed number of other ...our model is simplified in that clustering and heterogeneity in contact network ...

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Stochastic dynamics of an SEIS epidemic model

Stochastic dynamics of an SEIS epidemic model

... SEIS epidemic model in a popula- tion that is compartmentalized into three classes: the susceptible, exposed, and infectious classes, with sizes denoted by S(t), E(t), I(t), ...

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The threshold of a stochastic SIQS epidemic model

The threshold of a stochastic SIQS epidemic model

... the model are summarized in the following list: A: the recruitment rate of susceptibles corresponding to births and immigration; β: transmission coefficient between compartments S and ...

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An SEIRS epidemic model with stochastic transmission

An SEIRS epidemic model with stochastic transmission

... 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 concerned with what happens ...

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