In this article, a predictor-corrector type non-standard finite difference scheme has been formulated to avoid unnatural chaos, and numerical instabilities depend on a long time step, lead to a better strategy for overcoming the transmission of infectious diseases. The construction, development, and analysis of our proposed numerical scheme is done for the SEIR epidemiological model regarding the transmission dynamics of measles. Based on the mathematical study of the proposed scheme, the stability analyses are performed in detail. Further, the behavior of the scheme is accessed by the evaluation of the Eigenvalues of the Jacobian at a steady state. MATLAB algorithm is used for numerical simulations, and results demonstrated that the NSFD-PC scheme double refines the solution and gives physically realistic solutions even for large step sizes. The effectiveness of the scheme has been investigated by comparison with renowned numerical methods in literature like the RK4 and Euler method of a predictor-corrector type. It has been found that the presented scheme is dynamically compatible with the continuous system, unconditionally convergent, and satisfies the positivity of the state variables involved in the system of the SEIR model. Conclusively, the proposed numerical scheme preserves all essential control measuring features of the corresponding dynamical system and reduces additional cost when examined over long periods. Therefore, it is highly recommended.

在本文中，为了避免不自然的混乱，制定了一种预测-校正器类型的非标准有限差分方案，并且数值不稳定性取决于较长的时间步长，从而导致了更好的策略来克服传染病的传播。针对麻疹传播动力学的SEIR流行病学模型完成了我们提出的数值方案的构建，开发和分析。在对所提方案进行数学研究的基础上，对稳定性进行了详细分析。此外，通过评估稳态下雅可比行列式的特征值可以访问该方案的行为。MATLAB算法用于数值仿真，结果表明，即使对于大步长，NSFD-PC方案也可以对解决方案进行双重完善，并提供物理上可行的解决方案。通过与文献中著名的数值方法（例如RK4和Euler方法的预测器-校正器类型）比较，研究了该方案的有效性。已经发现，提出的方案与连续系统动态兼容，无条件收敛，并且满足SEIR模型系统中涉及的状态变量的正性。最终，所提出的数值方案保留了相应动力系统的所有基本控制测量功能，并在长期检查时降低了额外成本。因此，强烈建议。已经发现，提出的方案与连续系统动态兼容，无条件收敛，并且满足SEIR模型系统中涉及的状态变量的正性。最终，所提出的数值方案保留了相应动力系统的所有基本控制测量功能，并在长期检查时降低了额外成本。因此，强烈建议。已经发现，提出的方案与连续系统动态兼容，无条件收敛，并且满足SEIR模型系统中涉及的状态变量的正性。最终，所提出的数值方案保留了相应动力系统的所有基本控制测量功能，并在长期检查时降低了额外成本。因此，强烈建议。