This work is devoted to establish a modified population model of susceptible and infected (SI) compartments to predict the spread of the infectious disease COVID-19 in Pakistan. We have formulated the model and derived its boundedness and feasibility. By using next generation matrices method we have derived some results for the global and local stability of different kinds of equilibrium points. Also, by using fixed point approach some results of existence of at least one solution are studied. Furthermore, the numerical simulations for various values of isolation parameters corresponding to different fractional order are investigated by using modified Euler’s method.

这项工作致力于建立易感和感染（SI）隔室的改良种群模型，以预测传染病COVID-19在巴基斯坦的扩散。我们已经制定了模型，并推导了其局限性和可行性。通过使用下一代矩阵方法，我们得出了各种平衡点的全局和局部稳定性的一些结果。此外，通过使用定点方法，研究了至少一个解的存在性的一些结果。此外，使用改进的欧拉方法研究了与不同分数阶相对应的各种隔离参数值的数值模拟。