학술논문

Panic behavior induces multiple endemic states and backward bifurcation.
Document Type
Article
Source
Mathematical Methods in the Applied Sciences. Mar2022, Vol. 45 Issue 5, p2831-2851. 21p.
Subject
*BIFURCATION diagrams
*POPULATION density
*COMMUNICABLE diseases
Language
ISSN
0170-4214
Abstract
The aim of this paper is to investigate the effect of drastic behavioral changes on the dynamics of infectious diseases. An SIS model with two classes of individuals with different susceptibilities is analyzed. It focuses in a transition function between both classes of susceptible individuals depending on the density of the infected population. A classification of all the possible bifurcation diagrams that the model can present is done. Specifically, some conditions for the simultaneous existence of backward bifurcation and multiple endemic states are shown. [ABSTRACT FROM AUTHOR]