Qualitative Analysis and Optimal Control Strategy of an SIR Model with Saturated Incidence and Treatment

• Published in: Differential equations and dynamical systems Vol. 31; no. 1; pp. 53 - 67
• Main Authors: Ghosh, Jayanta Kumar, Ghosh, Uttam, Biswas, M. H. A., Sarkar, Susmita
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.01.2023; Springer Nature B.V
• Subjects: Computer Science; Disease control; Engineering; Mathematics; Mathematics and Statistics; Maximum principle; Optimal control; Original Research; Qualitative analysis; Stability analysis; Inhibitory factors; 92D30; Transcritical bifurcation; 34C23; 37N25; Backward bifurcation; Optimal control; 49J15; Efficiency analysis
• ISSN: 0971-3514; 0974-6870
• DOI: 10.1007/s12591-019-00486-8

This paper deals with an SIR model with saturated incidence rate affected by inhibitory effect and saturated treatment function. Two control functions have been used, one for vaccinating the susceptible population and other for the treatment control of infected population. We have analysed the exist...