Sentence examples for establish the persistence from inspiring English sources

It is simple to establish the persistence of this zero under parameter variation.

Now we establish the persistence and permanence behavior of the delayed model using the positivity of the dependent variables.

Motivated by the recent work [1] on the nonlinear Camassa-Holm equation in weighted Sobolev spaces, the other aim of this paper is to establish the persistence properties for the modified Camassa-Holm equation (1.1) in weighted (L^{p}) spaces.

To establish the persistence time of CNC, we used whole genome multiple alignments downloaded from the UCSC genome browser (17-species vertebrate alignments and 8-species insect alignments).

The global stability of the endemic equilibrium of (3) is very difficult, though Theorems 3.2 and 4.1 established the persistence and local stability as (R_{0}>1).

Finally, we establish the uniform persistence of system (27), which suggests that two species can coexist.

In this section, we establish the uniform persistence of the semi-flow ({Phi(t)}_{tgeq0}) generated by system (1.4) when the basic reproduction number is greater than unity.

To establish the prevalence, incidence, persistence, risk factors, and mortality risk increase of psychosis of Alzheimer disease (PoAD) in a clinical sample.

It will be interesting to establish if the persistence of tenascin-C paralogs is specific to the pufferfish lineage.

Finally, single measurement of urine protein:creatinine ratio at enrolment did not enable us to establish either the persistence of proteinuria or its pre-existing level.

The aims of this study were to establish the cumulative incidence and persistence of self-injury, aggression and destruction and the relationship between these behaviours and two potentially predictive behavioural risk markers (repetitive behaviour, and impulsivity and overactivity) in children at high risk.