Sentence examples for background of model from inspiring English sources

By the biological background of model (2.2), we only consider model (2.2) in the biological meaning region (Omega={(S,I,R)| 0leq S+I+RleqLambda/d}).

Considering the biological background of model (2.2), therefore, any solution of model (2.2) satisfies the following initial condition: S 0)>0,qquad E(0)>0,qquad I(0)>0,qquad R 0)>0.

The conventional estimated results shown in Fig. 5 without the low-frequency constraints show strong errors from the theoretical model, especially on the background of model parameters, which can be seen clearly at the black ellipses.

As the epidemiological background of model (4), we assume that any solution ((x_{n},y_{n},v_{n},z_{n})) of model (4) satisfies the following initial condition: x_{0}>0,quadquad y_{0}>0,quadquad v_{0}>0,quadquad z_{0}>0.

(H3) r 1 − r 1 c − ξ / 4 > 0. Based on the biological background of model (1), we only consider the solution of model (1) with the following initial conditions: ( J ( 0 ), S ( 0 ), I ( 0 ) ) ∈ R + 3 = { ( x, y, z ) : x > 0, y > 0, z > 0 }.

Due to the biological backgrounds of model (1.1), throughout this paper we make the following basic assumptions.

The results of model-based studies should be interpreted against the background of the model assumptions, e.g. model type, time interval, input data.

Although the model can reproduce the experimentally observed force variations, correspondence between the model and the actual setup, or the physical background of the model, remains rather unclear compared to JR model explained in the next.

The paper gives an overview of the analytical background of the model and shows how the model parameters can be identified from experiments using a reverse engineering approach.

This model of the stochastic delay Lotka-Volterra is different from Mao et al. [3 10], which paid more attention to the mathematical properties of the model than the real background of the model.

The aim of the textbook is to introduce the backgrounds of modeling and control of dynamic systems for students in bachelor program.