Sentence examples for weak permanence from inspiring English sources
On the weak permanence and permanence of the disease of model (1), we have the following definitions.
By the theories of impulsive differential equations and stochastic differential equations, we have established some asymptotic properties of the system, such as the extinction, nonpersistence and persistence in the mean, weak persistence and stochastic permanence and so on.
Further, by the definitions proposed by Liu and Wang (see [18]), we will derive some asymptotic behavior of this system, such as the extinction, nonpersistence and persistence in the mean, weak persistence and stochastic permanence and so on.
The biggest disadvantage of permanent fillers is their permanence.
Compared with the existing literature [8], the conditions imposed on the permanence of one-species are weaker.
Absence of the factors, such as universality, uniqueness, permanence, and acceptability, leads to a weak recognition system with high error rates.
We establish sufficient conditions for the extinction, nonpersistence in the mean, weak persistence, persistence in the mean and stochastic permanence of the system.
In [22], Liu and Wang improved the permanence results in [23], and obtained the critical number between weak persistence and extinction.
They speak of permanence.
