The COVID-19 pandemic has caused a tremendous setback in health care and other associated environmental systems, as well as global economic stability. As a result, poorer developing nations and some developed nations have taken the hardest hits. Although the response strategies to COVID-19 during the initial phase of the pandemic vary considerably across countries, the recovery rate was somewhat commendable all over the world. In this paper, the author(s) gleaned two existing Covid-19 models and carryout some modifications on them. The author(s) employed a simulation case study methodology to conduct an in-depth analysis of the models in a bid to determine the dynamics of the disease, how fast it can be controlled, which model among them performs better, and what key policy lessons can be drawn from the behavioral dynamics of all the models.