Threshold dynamics in a time-delayed epidemic model with dispersal.
The global dynamics of a time-delayed model with population dispersal between two patches is investigated. For a general class of birth functions, persistence theory is applied to prove that a disease is persistent when the basic reproduction number is greater than one. It is also shown that the disease will die out if the basic reproduction number is less than one, provided that the initial size of the infected population is relatively small. Numerical simulations are presented using some typical birth functions from biological literature to illustrate the main ideas and the relevance of dispersal.
White
Michael C
MC
Department of Mathematics and Statistics, Memorial University of Newfoundland, PO Box 4200, St. John's, NL, Canada A1C 5S7. mikewhite@nl.rogers.com
Zhao
Xiao-Qiang
XQ
D050936:Basic Reproduction Number; D003141:Communicable Diseases / Q000453:epidemiology / Q000276:immunology* / Q000635:transmission; D003198:Computer Simulation; D006801:Humans; D018448:Models, Immunological; D011157:Population Dynamics