Analysis and Optimal Control of a Multistrain SEIR Epidemic Model with Saturated Incidence Rate and Treatment

• Published in: Differential equations and dynamical systems Vol. 31; no. 4; pp. 907 - 923
• Main Authors: Bentaleb, Dounia, Harroudi, Sanaa, Amine, Saida, Allali, Karam
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.10.2023; Springer Nature B.V
• Subjects: Computer Science; Engineering; Epidemics; Mathematical models; Mathematics; Mathematics and Statistics; Optimal control; Original Research; Saturated incidence; Multi-strain; MSC 34-00; Global stability; Optimal control; Treatment function; MSC 92D30; MSC 34D23; SEIR

In this paper, we study the dynamic of a multi-strain SEIR model with both saturated incidence and treatment functions. Two basic reproduction numbers are extracted from the epidemic model, noted R 0 , 1 and R 0 , 2 . Using the Lyapunov method, we investigate the global stability of the disease free...