Dynamic Analysis of an Impulsive Predator-Prey Model with Disease in Prey and Ivlev-Type Functional Response
Keyword(s):
A predator-prey model with disease in prey, Ivlev-type functional response, and impulsive effects is proposed. By using Floquet theory and small amplitude perturbation skill, sufficient conditions of the existence and global stability of susceptible pest-eradication periodic solution are obtained. By impulsive comparison theorem, conditions ensuring the permanence of the system are established. Examples and simulation are given to show the complex dynamics for the key parameters.
2012 ◽
Vol 226-228
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pp. 474-478
2017 ◽
Vol 10
(08)
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pp. 1750119
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2021 ◽
Vol 10
(5)
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pp. 2641-2652
2015 ◽
Vol 25
(09)
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pp. 1550110
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2019 ◽
Vol 10
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pp. 100035
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