<p>This study enhances the classic perfectly stirred reactor model by introducing an additional energy source to effectively model the spark ignition process within a laminar premixed flame in a counterflow configuration. A non-dimensional governing ordinary differential equation (ODE) system is developed to describe the behavior of both temperature and fuel concentration under these conditions. An in-depth mathematical analysis is performed to find out the stability of steady-state solutions within the dynamic system, using the large activation energy asymptotic limit as a key analytical approach. Solutions corresponding to stable regimes are derived analytically, which is characterized by negative eigenvalues. This analytical framework is further extended through the direct integration of the non-dimensional ODE system, allowing an investigation on how critical parameters – including the Damköhler number, spark duration time, and the heat released during chemical reactions – affect the ignition process. Particular attention is given to the calculation of the minimum ignition energy , providing valuable insights into optimizing ignition strategies in practical applications.</p>