Dynamical analysis of an SIS epidemic model with migration and residence time

Autor:	Xinjie Fu, Donghua Zhao, Maoxing Liu
Rok vydání:	2021
Předmět:	010101 applied mathematics 0303 health sciences 03 medical and health sciences Geography Applied Mathematics Modeling and Simulation Residence 0101 mathematics Epidemic model Residence time (fluid dynamics) 01 natural sciences 030304 developmental biology Demography
Zdroj:	International Journal of Biomathematics. 14:2150023
ISSN:	1793-7159 1793-5245
DOI:	10.1142/s1793524521500236
Popis:	Migration can be divided into temporary and permanent migration, which is related to the residence time of people in the patch, thus we consider an SIS epidemic model with migration and residence time in a patchy environment. If [Formula: see text], the disease-free equilibrium is globally asymptotically stable and the disease dies out. With the same migration rate of susceptible and infectious individuals and without disease-induced death, when [Formula: see text], the endemic equilibrium is unique and globally asymptotically stable. Numerical simulations are carried out to show the effects of residence time and the migration rate on disease prevalence.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ceb968d8dbb82ebf03ce65650d7b8fbd https://doi.org/10.1142/s1793524521500236 Zobrazit plný text záznamu