FLIP BIFURCATION AND NUMERICAL STUDY OF CRIMEAN–CONGO HEMORRHAGIC FEVER WITH SUSTAINABLE FRACTIONAL APPROACH

Abstract

The analysis and investigation of Crimean-Congo Hemorrhagic Fever transmission throughout the population are the goals of this study. Using Atangana-Baleanu's-Caputo (ABC) sense concept, the mathematical model is transformed into fractional order for ongoing surveillance of Crimean-Congo hemorrhagic fever. To comprehend the stable state, a qualitative and quantitative investigation of the suggested fractional-order system is conducted. The system's sensitivity analysis is examined to see how sensitive certain parameters are and to see how quickly various factors change and effect the spread of illness. Using flip bifurcation, the local stability of the system with the impacts of both people and animals is confirmed and assessed. The global stability of the system is also examined with Lyapunov first derivative functions. The existence and positivity of the global derivative are shown to be confirmed using Lipschitz criteria for the rate of effects according to their sub-compartments and linear growth on a global scale. The sophisticated tool Atangana-Toufik scheme for various fractional values is used to create solutions for the fractional-order system together with error analysis verification. The real behavior of the Crimean-Congo Hemorrhagic Fever spread and ongoing surveillance are observed using simulations. This kind of research will help to comprehend the epidemic and will have ramifications for real data as well as future control methods.