Asymptotic Behavior Analysis of a Fractional-Order Tumor-Immune Interaction Model with Immunotherapy
Keyword(s):
A fractional-order tumor-immune interaction model with immunotherapy is proposed and examined. The existence, uniqueness, and nonnegativity of the solutions are proved. The local and global asymptotic stability of some equilibrium points are investigated. In particular, we present the sufficient conditions for asymptotic stability of tumor-free equilibrium. Finally, numerical simulations are conducted to illustrate the analytical results. The results indicate that the fractional order has a stabilization effect, and it may help to control the tumor extinction.
2018 ◽
Vol 28
(14)
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pp. 1850180
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2014 ◽
Vol 2014
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pp. 1-14
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Conditions for the local and global asymptotic stability of the time–fractional Degn–Harrison system
2020 ◽
Vol 21
(7-8)
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pp. 749-759
2020 ◽
Vol 0
(0)
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2018 ◽
Vol 56
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pp. 365-379
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