Sentence examples for continuous sir from inspiring English sources

A lot of continuous SIR models with various transmission rates have been formulated and studied.

A lot of results on the existence and global stability of the endemic equilibrium have been obtained for continuous SIR models with various transmission rate.

In this paper, we have proposed a discrete-time analogue of the continuous SIR epidemic model of childhood diseases with constant vaccination strategy which is derived by the NSFD scheme of Michens.

Applying the discrete Lyapunov functional technique (see [25, 26]) for both cases R 0 ≤ 0 and R 0 > 1, it shown that the global dynamics of this discrete-time analogue of the continuous SIR epidemic model is fully determined only by the basic reproduction number R 0. This shows dynamical consistency between the discrete SIR epidemic model and its corresponding continuous model.

The global stability of the endemic equilibrium of the continuous SIR model has been investigated extensively and many sufficient conditions have been obtained.

Simulation studies indicated that these assumptions, as well as other possible orderings, resulted in system dynamics that were approximately equal in expectation to deterministic solutions of the continuous time SIR model.

First, we applied the forward Euler scheme to a continuous-time SIR epidemic model and obtained the Schrödinger-prey system.

First, we applied the forward Euler scheme to a continuous-time SIR epidemic model and obtained the Schrödingerean predator-prey system.

We consider the following continuous-time SIR epidemic model described by the Schröding-prey equations: left { textstylebegin{array}{l} frac{dS}{dt}=beta S t)I t), frac{dI}{dt}=beta S t)I t -gamma I t -gamma{dR}{dt}=gamma I t), end{array}displaystyle right.

On returning from a trip to England, he reentered Parliament in 1872 and became a leading figure in the "continuous ministry" of Sir Julius Vogel.

Stafford's third ministry lasted less than a month Sept . 6 to Oct. 4, 1872), but he remained a member of the House during the "continuous ministry" of Sir Julius Vogel as a strong advocate of the abolition of the provinces (1875).