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29759

Simple Food Chain in Chemostat When the Predator Produces Unaffected Toxin

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Last updated: 04 Jan 2025

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Abstract

In this paper, Simple food chain in chemostat when the predator produces unaffected toxin is
considered. This inhibitor is not lethal to neither prey nor nutrient and results in decrease of growth rate of the
predator at some cost to its reproductive abilities. A Lyapunov function in the study of the global stability of a
predator-free steady state is considered. Local and global stability of other steady states, persistence analysis, as
well as numerical simulations are also presented.

DOI

10.21608/icmep.2012.29759

Keywords

food chain, toxin – chemostat – prey – predator – Lyapunov function

Authors

First Name

Ashraf

Last Name

Moniem

MiddleName

A.

Affiliation

Akhbar El-Yom Academy, 6 October City, Giza (12573), Egypt.

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Volume

6

Article Issue

International Conference on Mathematics and Engineering Physics (ICMEP-6)

Related Issue

5191

Issue Date

2012-05-01

Receive Date

2019-04-07

Publish Date

2012-05-01

Page Start

1

Page End

12

Print ISSN

2636-431X

Online ISSN

2636-4328

Article File

ICMEP_Volume 6_Issue International Conference on Mathematics and Engineering Physics (ICMEP-6)_Pages 1-12.pdf

PDF . 387.4kB

Link

https://icmep.journals.ekb.eg/article_29759.html

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https://icmep.journals.ekb.eg/service?article_code=29759

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Original Article

Type Code

830

Publication Type

Journal

Publication Title

The International Conference on Mathematics and Engineering Physics

Publication Link

https://icmep.journals.ekb.eg/

MainTitle

Simple Food Chain in Chemostat When the Predator Produces Unaffected Toxin

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Article

Created At

22 Jan 2023