We model the collapse of the probability of success call completion (PSCC) as a direct consequence of the saturation of calls and network overloading in times of local emergence events. For this end, it is assumed that the PSCC contemplates up to three stages during the action of handoff by a mobile end user. Concretely, we incorporate additional probability functions as a logic response later a local catastrophic event (LCE) like a quake. It is known as reported at past events, that network gets fully saturated thereby leading to collapse the local communications, due to a fast response made by people trying to contact people. In this paper, the inclusion of possible behavior of successful handoff functions during the next seconds after a LCE is considered inside the PSCC framework. Our simulations have shown a certain coherence in the sense of system collapse as consequence of full cell occupation and nonlinear behavior of handoff request. The studies have preliminary concluded that mobile users would be much more sensitive to the so-called system collapse. Thus, these ideas and results would serve to optimize the quality of service (QoS) as required by communications regulators to face extreme situations of using communications resources. © 2013 IEEE.