Sentence examples for many epidemic models from inspiring English sources

Many epidemic models are described by the ordinary differential equations.

As is well known, the bilinear incidence rate (beta SI) is frequently used in many epidemic models [1 5].

Researchers have proposed many epidemic models to understand the mechanism of disease transmission (see [1 6] and the references therein).

To better understand the transmission pattern of infectious disease, a great many epidemic models have been formulated (see [1 21] and references therein).

In order to predict the spreading of infectious diseases, many epidemic models have been proposed and analyzed in recent years (see [1 13]).

In recent years, many epidemic models on complex networks, such as SIS (susceptible-infected-susceptible) [1 8] and SIR (susceptible-infected-removed) [9 16] and so on, have been widely studied by researchers from different subjects.

For many deterministic epidemic models, an infection can get started in a fully susceptible population if and only if R0>1.

Oscillations in incidence were predicted in many previous epidemic models with different underlying mechanisms, for example, in one-strain SIR models [ 4, 8– 11], two-strain SIR models [ 68], and two-strain SIRS models [ 12] where the seasonal forcing was thought to be the mechanism.

A stage-structured model, a discrete epidemic model with seasonal variation in environment, a discrete tuberculosis transmission model, and many other discrete epidemic models have been constructed, studied, and applied [8 10].

There are also many results on the epidemic models with jumps [19 22].

Many authors have studied the epidemic models, which display the dynamical behavior of the transmission of infected disease.