The following theorem confirms the persistence of the disease in the case R 0 > 1. Theorem 2 If R 0 > 1, then the disease will keep persistence in the population, i.e., there exists a positive ε such that the solution of model (1) with the initial value I ( 0 ) > 0 satisfies lim inf t → ∞ I ( t ) > ε.
It happened because the best events and the best things of the world exist only for those who take the first step on a new road and for those who can keep persistence, and Martin the Heardhead was the very first!
Keep persistence and never back down unless you feel it's time, but you have to be 100% sure of that.
Finally, in Fig. 6, we choose (sigma _{1}=0.5), (sigma _{2}=0.4), are the same as Fig. 2 and (sigma _{3}=1.7) is the same as Fig. 5, then the prey will keep having persistence and the predator will die out. Figure 6 Solutions of stochastic system (3.1) with (sigma _{1}=0.5), (sigma _{2}=0.4), (sigma _{3}=1.7) show that y goes to extinct but (x_{1}) and (x_{2}) persist.
Try sending the articles to other online agencies or publications and keep the persistence up.
In the absence of external cues, cells move in random directions, but with a strong element of persistence that keeps them moving in the same direction Persistence allows cells to disperse over larger areas and is instrumental to enter new environments where spatial cues can lead the cell.
Still, Mosley's persistence kept gnawing at De La Hoya, who was frustrated by not being able to pin down Mosley with his attacks.
Northamptonshire's persistence kept them in the game at a time when Kent might have had ambitions of batting themselves out of sight.
Ed Ford, the scout who signed Borowski, who was drafted in the 32nd round by the Chicago White Sox, has said that Borowski's persistence kept him from "playing softball in Bayonne" by now.
"Whichever one has shown the most persistence and just keeps coming back and coming back and coming back," Clinton said.
