Waseem ShokatFA19-RMT-009LHR TP 7433Dr. Sadia Arshad2026-03-162021https://repository.cuilahore.edu.pk/handle/123456789/2856Mathematical models provide different strategies to control different diseases. The way toward building up a mathematical model is named mathematical Modelling. We develop different models that estimate the course of infection COVID-19 to help through a viable control system and effectiveness of vaccine by using data of Saudia Arabia, Italy, Canada and Pakistan via fractional order q. These model of epidemiologic analysis to predict that how COVID-19 spread and how we can control outbreak of this virus by using basic reproduction number R0. Special consideration is given to the worldwide elements of the equilibria, positiveness, boundedness and stability analysis. For stability if R0 < 1, an infected person transfer the disease individually in new infected is less than one on average over the lifetime of its infectious time, and the infection cannot spread. On the other hand at endemic equilibrium point if R0 > 1, then disease transfer from each infected person to more than one new infection on average and the disease will spread across the population. Sensitivity of models will be studied in different variations of parameters, focusing in particular on parameters that may arise. Moreover, the fitting of parameters through least squares curve fitting technique is performed. Finishing the worldwide disease lacks usage of various precaution, counting civil Separating, contact, testing following and more people should be vaccinated.enDr. Sadia ArshadFa19MATHEMATICSDepartment of MathematicsThesis