The phrase "arrivals of primary" is not correct and does not convey a clear meaning in written English.
It may be intended to refer to the primary arrivals of something, but as it stands, it lacks clarity and context.
Example: "The arrivals of primary shipments were delayed due to weather conditions."
Alternatives: "primary arrivals" or "main arrivals".
The damage-induced lag in the times of arrival of primary (P) and secondary (S) elastic waves is exploited as the key mechanism to enhance the detection capabilities.
The numerical results are used to examine the differences between the development of RMI in 2D and 3D configurations during two different stages: (1) initial growth of hydrodynamic instability from multi-mode perturbations after the arrival of primary shock and (2) transition to chaotic or turbulent state after re-shock.
To this end, a fundamental mathematical model to capture the effect of interruption of secondary users' calls due to the arrival of primary users was developed.
Moreover, as ρ increases, more secondary calls are interrupted due to the arrival of primary sessions in detrimental of system performance.
Also, in Section 2, the proposed modeling for the call interruption process (due to the arrival of primary users) is introduced.
In this sub-section, a simple but fundamental mathematical model to capture the effect of interruption of SU's calls due to the arrival of primary users is proposed.
As shown in Appendix 1 of [40], the call interruption process of secondary calls due to the arrival of primary users in cognitive radio networks is not a Poissonian one.
To this end, a mathematical model to capture the effect of interruption of ongoing calls of secondary users (SUs) due to the arrival of primary users (PUs) is proposed.
This issue is addressed in the following manner: (a) as a first step, a novel mathematical model to approximately capture the effect of interruption of SU calls due to the arrival of primary sessions is proposed.
In this work, in order to obtain a tractable mathematical analysis, it is proposed to approximate the secondary users' call interruption process due the arrival of primary users by a Poisson one.
