Global Dynamics of a Fractional-order Ebola Model with Delayed Immune Response on Complex Networks

R. Rakkiyappan; V. Preethi Latha; F. A. Rihan

doi:10.1007/s40010-021-00756-7

Global Dynamics of a Fractional-order Ebola Model with Delayed Immune Response on Complex Networks

R. Rakkiyappan, V. Preethi Latha, F. A. Rihan

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we study the global dynamics of a fractional-order Ebola model with delayed immune response on complex networks. The model describes the interaction of Ebola virus with the immune cells. A time delay is introduced in the cytotoxic T-lymphocyte term to ensure the response period taken against the virus. By constructing a suitable Lyapunov function the global stability of the equilibrium points has been investigated with help of basic reproduction. The analysis shows that the fractional-order time-delay can effectively enrich the dynamics and strengthen the stability condition of the fractional-order infection model. Finally, the derived theoretical results are justified by some numerical simulations.

Original language	English
Pages (from-to)	681-689
Number of pages	9
Journal	Proceedings of the National Academy of Sciences India Section A - Physical Sciences
Volume	91
Issue number	4
DOIs	https://doi.org/10.1007/s40010-021-00756-7
Publication status	Published - Dec 2021

Keywords

Complex networks
CTL response
Ebola virus
Stability
Time-delay

ASJC Scopus subject areas

Physics and Astronomy(all)

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1007/s40010-021-00756-7

Cite this

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title = "Global Dynamics of a Fractional-order Ebola Model with Delayed Immune Response on Complex Networks",

abstract = "In this paper, we study the global dynamics of a fractional-order Ebola model with delayed immune response on complex networks. The model describes the interaction of Ebola virus with the immune cells. A time delay is introduced in the cytotoxic T-lymphocyte term to ensure the response period taken against the virus. By constructing a suitable Lyapunov function the global stability of the equilibrium points has been investigated with help of basic reproduction. The analysis shows that the fractional-order time-delay can effectively enrich the dynamics and strengthen the stability condition of the fractional-order infection model. Finally, the derived theoretical results are justified by some numerical simulations.",

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AU - Preethi Latha, V.

AU - Rihan, F. A.

PY - 2021/12

Y1 - 2021/12

N2 - In this paper, we study the global dynamics of a fractional-order Ebola model with delayed immune response on complex networks. The model describes the interaction of Ebola virus with the immune cells. A time delay is introduced in the cytotoxic T-lymphocyte term to ensure the response period taken against the virus. By constructing a suitable Lyapunov function the global stability of the equilibrium points has been investigated with help of basic reproduction. The analysis shows that the fractional-order time-delay can effectively enrich the dynamics and strengthen the stability condition of the fractional-order infection model. Finally, the derived theoretical results are justified by some numerical simulations.

AB - In this paper, we study the global dynamics of a fractional-order Ebola model with delayed immune response on complex networks. The model describes the interaction of Ebola virus with the immune cells. A time delay is introduced in the cytotoxic T-lymphocyte term to ensure the response period taken against the virus. By constructing a suitable Lyapunov function the global stability of the equilibrium points has been investigated with help of basic reproduction. The analysis shows that the fractional-order time-delay can effectively enrich the dynamics and strengthen the stability condition of the fractional-order infection model. Finally, the derived theoretical results are justified by some numerical simulations.

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KW - CTL response

KW - Ebola virus

KW - Stability

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Global Dynamics of a Fractional-order Ebola Model with Delayed Immune Response on Complex Networks

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

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