Geometric singular perturbation theory analysis of an epidemic model with spontaneous human behavioral change

• Published in: Journal of mathematical biology Vol. 82; no. 6; p. 54
• Main Author: Schecter, Stephen
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2021; Springer Nature B.V
• Subjects: Applications of Mathematics; Behavior; Biological Evolution; Differential equations; Epidemic models; Epidemics; Game Theory; Humans; Mathematical and Computational Biology; Mathematical models; Mathematics; Mathematics and Statistics; Models, Biological; Perturbation theory; Singular perturbation; Social interactions; Imitation dynamics; 92D30; 91A22; Entry–exit function; Geometric singular perturbation theory; Epidemiological modeling; Evolutionary game theory; 34E15

We consider a model due to Piero Poletti and collaborators that adds spontaneous human behavioral change to the standard SIR epidemic model. In its simplest form, the Poletti model adds one differential equation, motivated by evolutionary game theory, to the SIR model. The new equation describes the...