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139426

On the dynamics of Kirschner tumor-immune model

Article

Last updated: 05 Jan 2025

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Abstract

A tumor-immune model of Kirschner type is considered. The boundedness of solutions are discussed. Criteria
for existence and the stability of equiliria are established. Using similar technique to that we used before in the literature,
we study the existence of Hopf-Andronov-Poincaré bifurcation. Using Liapunov function sufficient conditions are
guaranteed the existence of a unique periodic asymptotically stable solution for the system are established. Numerical
simulations are given to illustrate the results.

DOI

10.21608/djs.2017.139426

Keywords

Kirschner model, Equilibrium points, Global stability, Hopf Bifurcation

Authors

First Name

A.

Last Name

Zaghrout

MiddleName

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Affiliation

Faculty of Science for girls, Department of Mathematics, Al-Azhar University, Egypt.

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Orcid

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First Name

M.M.A.

Last Name

El-Sheikh

MiddleName

-

Affiliation

Faculty of Science, Department of Mathematics, Menoufia University, Egypt..

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City

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Orcid

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First Name

A.R.

Last Name

El-Namoury

MiddleName

-

Affiliation

Faculty of Science, Department of Mathematics, Tanta University, Egypt..

Email

-

City

-

Orcid

-

First Name

A.

Last Name

El-Ashry

MiddleName

-

Affiliation

Faculty of Science, Department of Mathematics, Tanta University, Egypt..

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-

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Volume

38

Article Issue

1

Related Issue

20623

Issue Date

2017-06-01

Receive Date

2021-01-14

Publish Date

2017-06-01

Page Start

53

Page End

62

Print ISSN

1012-5965

Online ISSN

2735-5306

Article File

DJS_Volume 38_Issue 1_Pages 53-62.pdf

PDF . 1.6MB

Link

https://djs.journals.ekb.eg/article_139426.html

Detail API

https://djs.journals.ekb.eg/service?article_code=139426

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7

Type

Research and Reference

Type Code

1,686

Publication Type

Journal

Publication Title

Delta Journal of Science

Publication Link

https://djs.journals.ekb.eg/

MainTitle

On the dynamics of Kirschner tumor-immune model

Details

Type

Article

Created At

23 Jan 2023