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An Almost Periodic R-M Model In A Patchy Environment

Posted on:2017-01-09Degree:MasterType:Thesis
Country:ChinaCandidate:C ShaoFull Text:PDF
GTID:2180330503461415Subject:Mathematics and applied mathematics
Abstract/Summary:PDF Full Text Request
In this paper, we introduce the basic reproduction ratio of autonomous and nonautonomous(periodic and almost periodic) compartmental epidemic model.As an application, we study the almost periodic R-M(Ross-Macdonald) model.The results show that the disease will be dying out if R0< 1 and the disease will be persistently spreading if R0> 1. Finally, numerical simulations verify the conclusions.
Keywords/Search Tags:Almost Periodic, Basic reproduction number, R-M model, Threshold dynamics, Uniform persistence
PDF Full Text Request
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