Stability and Bifurcation in an SI Epidemic Model with Additive Allee Effect and Time Delay
2021 ◽
Vol 31
(04)
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pp. 2150060
Keyword(s):
In this paper, we consider an SI epidemic model incorporating additive Allee effect and time delay. The primary purpose of this paper is to study the dynamics of the above system. Firstly, for the model without time delay, we demonstrate the existence and stability of equilibria for three different cases, i.e. with weak Allee effect, with strong Allee effect, and in the critical case. We also investigate the existence and uniqueness of Hopf bifurcation and limit cycle. Secondly, for the model with time delay, the stability of equilibria and the existence of Hopf bifurcation are discussed. All the above show that both additive Allee effect and time delay have vital effects on the prevalence of the disease.
2016 ◽
Vol 2016
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pp. 1-8
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2021 ◽
Vol 31
(12)
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pp. 2150183
2021 ◽
Vol 2021
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pp. 1-15
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2021 ◽
Vol 26
(1)
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pp. 72-92
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2014 ◽
Vol 2014
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pp. 1-10
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2019 ◽
Vol 12
(06)
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pp. 1950067
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2017 ◽
Vol 10
(5)
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pp. 973-993
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Keyword(s):
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2018 ◽
Vol 19
(6)
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pp. 561-571