2018/07/16 by Jayanta Kumar Ghosh, Ghosh, Jayanta Kumar, Uttam Ghosh +5
Mathematics · Medicine · #37N25.34C23.49J15.92D30 #Dynamical Systems (math.DS) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models
paper · pdf · doi:10.48550/arxiv.1807.05954
openalex publication_date 2018/07/16 · openalex created_date 2022/08/04 · openalex updated_date 2026/07/28
This paper deals with an SIR model with saturated incidence rate affected by\ninhibitory effect and saturated treatment function. Two control functions have\nbeen used, one for vaccinating the susceptible population and other for the\ntreatment control of infected population. We have analysed the existence and\nstability of equilibrium points and investigated the transcritical and backward\nbifurcation. The stability analysis of non-hyperbolic equilibrium point has\nbeen performed by using Centre manifold theory. The Pontryagin's maximum\nprinciple has been used to characterize the optimal control whose numerical\nresults show the positive impact of two controls mentioned above for\ncontrolling the disease. Efficiency analysis is also done to determine the best\ncontrol strategy among vaccination and treatment.\n