IMPACT OF YOGACHARA ON TRANSMISSION DYNAMICS OF INFECTIOUS DISEASE: SIQS MODEL ANALYSIS AT SATURATED INCIDENCE RATE

Abstract Communicable diseases are major health problems and affect the whole economy of the nation. So, it should become the prime agenda of developed and developing countries to prevent them. It seems necessary to educate people about disease transmission dynamics and to develop a new prevention strategy. The purpose of this paper is to investigate the effects of prevention strategies like Yogachara with quarantine. Yogachara (ahar, Vihar, achar and Vichar) boosts people psychologically and makes them aware of the disease. Mathematical epidemiology describes all the possible risk factors of communicable diseases, treatment modalities, human health policies and new opportunities for the planning, prevention and treatment of the diseases. Yogachara provides public health information as well as maintains the physical fitness of practitioners improves the whole metabolic system of the human body and helps to achieve the physical, mental, social and spiritual well-being of the practitioners. Motivated by the Eastern philosophy of Yoga, an SIQS mathematical model has been developed which contains three governing ordinary differential equations to describe the transmission dynamics of communicable disease. These equations were analyzed by using mathematical techniques. The next-generation matrix method is used to calculate the reproduction number and sensitivity analysis of parameters indicates that the reproduction number decreases with increased preventive measures like Yogachara. Local and global stability analysis at disease-free and endemic equilibria are calculated. Our results highlight that the theory-based and data-based Yogachara effect terms have almost the same result. Numerical simulations suggest that Yogachara has a positive influence in controlling disease dynamics. It reduces size in susceptibility and infectivity.