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BIFURCATION ANALYSIS OF A DELAYED EPIDEMIC MODEL WITH DIFFUSION
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 Title & Authors
BIFURCATION ANALYSIS OF A DELAYED EPIDEMIC MODEL WITH DIFFUSION
Xu, Changjin; Liao, Maoxin;
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 Abstract
In this paper, a class of delayed epidemic model with diffusion is investigated. By analyzing the associated characteristic transcendental equation, its linear stability is investigated and Hopf bifurcation is demonstrated. Some explicit formulae determining the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using the normal form theory and center manifold theory. Some numerical simulation are also carried out to support our analytical findings. Finally, biological explanations and main conclusions are given.
 Keywords
epidemic model;diffusion;delay;stability;Hopf bifurcation;
 Language
English
 Cited by
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