The server-based e-health applications generates external workload (number of client requests) during the application's execution respectively. The main challenge in hosting e-Health applications in the Cloud environment is that there is no optimality of when and what amount of cloud's virtual resources should be leveraged in order to deliver non-stop and real-time pervasive healthcare services. In this paper, authors showcases the implementation of elasticity for server-based pervasive healthcare applications. The authors have extended CloudSim toolkit and designed a elastic framework, that provides elasticity for the e-health applications. To the best of our knowledge, this is the first study that uses CloudSim toolkit in addressing horizontal elasticity for server-based applications. The experimental results show that the proposed elasticity mechanism delivers better response time, finish time, and an efficient resource utilization as compared to the existing resource allocation approaches.