Sentence examples for method to study the permanence of from inspiring English sources

Therefore, Theorem 3.1 provides a possible method to study the permanence of the models with almost periodic impulsive perturbations in biological populations.

That is, we provide a unified method to study the permanence for the continuous system and discrete system.

Firstly, we introduce several lemmas which will be used to study the permanence of model (1).

The principal object of this article is to explore the dynamics of system (1.4) applying the differential inequality theory to study the permanence of system (1.4).

We study the permanence of system (1.2) in Section 4.

3, we study the permanence of system (1.2).

In this paper, we shall also study the permanence of the system (1.4) by using comparison theory, and get the same results as [7] do, under weaker conditions.

Huang [7] studied the permanence of the system (1.4).

Next, we turn to studying the stochastic permanence of system (2.5).

The principle aim of this article is to study the dynamic behaviors of system (1.3), such as permanence, global attractivity, existence, and global attractivity of positive periodic solutions.

In this paper, we study the permanence and the periodic solution of the periodic predator-prey-mutualist system.