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We generalize the deterministic and the stochastic single-group SIRS epidemic models with saturated incidence rate introduced by Lahrouz, Omari, and Kiouach to the multi-group versions.
To our knowledge, there are only a few works that consider the qualitative analysis of high-dimensional impulsive stochastic chemostat competition models with saturated growth rate.
In the previous work, the researchers studied other types of nonlinear infection rates, for example, several epidemic models with saturated infection rates (beta SI/(1+alpha S)) were discussed by Xu et al. [27, 28] and Zhang et al. [29].
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An SIS epidemic model with saturated incidence rate and treatment is considered.
This paper considers a stochastic SIS model with saturated incidence rate.
In Section 2.2, the WLAN channel is modeled with saturated data traffic and non-saturated video traffic [11].
In [22], a latent period is introduced in the susceptible population of a SIR epidemic model with saturated incidence rate.
In [47], Meng et al. proposed a chemostat model with saturated growth rate and pulsed toxicant input.
Next, we investigate the impulsive stochastic chemostat competition model with saturated growth response rates in a polluted environment.
In this paper, we study an SIS model with saturated incidence rate β S I 1 + α S and treatment.
In this paper, we describe the dynamics of an SEIR epidemic model with saturated incidence, treatment function, and optimal control.
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