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29758

Prey - Predator in Chemostat When the Prey Produces Unaffected Inhibitor

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Last updated: 04 Jan 2025

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Abstract

Prey - predator in chemostat when the prey produces unaffected inhibitor is considered. This inhibitor is
not lethal to neither predator nor nutrient and results in decrease of growth rate of the prey 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.2012.29758

Keywords

food chain, toxin – chemostat – prey – predator

Authors

First Name

A.

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 . 442.6kB

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https://icmep.journals.ekb.eg/article_29758.html

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https://icmep.journals.ekb.eg/service?article_code=29758

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11

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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

Prey - Predator in Chemostat When the Prey Produces Unaffected Inhibitor

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Article

Created At

22 Jan 2023