Contribution to the study of the effect of the interspecificity on a two nutrients competition model

被引：5

作者：

Borsali, Fethi ^{[1
]}

Yadi, Karim ^{[1
]}

机构：

[1] Univ Tlemcen, Dynam Syst & Applicat Lab, Tilimsen 13000, Algeria

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2015年 / 8卷 / 01期

关键词：

Dynamical systems; chemostat; local stability; uniform persistence; complementary nutrients; interspecific interaction; EXPLOITATIVE COMPETITION; COMPLEMENTARY; CHEMOSTAT; STABILITY;

D O I：

10.1142/S1793524515500084

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We consider a model of the exploitative competition of two micro-organisms for two complementary nutrients in a chemostat and take into account the interspecific interaction. The growth functions occurring in the model are of general type and the interaction functions are monotonic and positive. By the mean of the Thieme-Zhao theorem, we establish conditions for uniform persistence of the model.

引用

页数：17

共 50 条

[1] Contribution of riverine nutrients to the silicon biogeochemistry of the global ocean - a model study
Bernard, C. Y.
Duerr, H. H.
Heinze, C.
Segschneider, J.
Maier-Reimer, E.
BIOGEOSCIENCES, 2011, 8 (03) : 551 - 564
[2] A MODEL OF COMPETITION BETWEEN TREES AND GRASS FOR RADIATION, WATER AND NUTRIENTS
MCMURTRIE, R
WOLF, L
ANNALS OF BOTANY, 1983, 52 (04) : 449 - 458
[3] A two species competition model under the simultaneous effect of toxicant and disease
Sinha, Sudipa
Misra, O. P.
Dhar, Joydip
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (02) : 1131 - 1142
[4] Contribution of Inhibitory Metabolites and Competition for Nutrients to Colonization Resistance against Clostridioides difficile by Commensal Clostridium
Reed, Amber D.
Theriot, Casey M.
MICROORGANISMS, 2021, 9 (02) : 1 - 14
[5] Study about competition and diffusion model of two products in the advertisement media
Ai, XZ
Tang, XW
Ni, DB
PROCEEDINGS OF 2002 INTERNATIONAL CONFERENCE ON MANAGEMENT SCIENCE & ENGINEERING, VOLS I AND II, 2002, : 1058 - 1061
[6] A CONTRIBUTION TO THE EFFECT OF DAMPER GRIDS - A TWO-DIMENSIONAL STUDY
FRITZ, W
ETZ ARCHIV, 1988, 10 (05): : 151 - 156
[7] JayHorn: A Java']Java Model Checker (Competition Contribution)
Kahsai, Temesghen
Rummer, Philipp
Schaf, Martin
TOOLS AND ALGORITHMS FOR THE CONSTRUCTION AND ANALYSIS OF SYSTEMS, PT III, 2019, 11429 : 214 - 218
[8] Ultimate Automizer with Two-track Proofs (Competition Contribution)
Heizmann, Matthias
Dietsch, Daniel
Greitschus, Marius
Leike, Jan
Musa, Betim
Schaetzle, Claus
Podelski, Andreas
TOOLS AND ALGORITHMS FOR THE CONSTRUCTION AND ANALYSIS OF SYSTEMS (TACAS 2016), 2016, 9636 : 950 - 953
[9] CONTRIBUTION TO THE STUDY OF NUTRIENTS DYNAMICS IN WATER OF MODULO EXPERIMENTAL OF MANTECAL
WROBEL, S
RODRIGUEZ, J
ACTA CIENTIFICA VENEZOLANA, 1978, 29 : 42 - 42
[10] A competition model for two CPU vendors
Tang, YN
Zhang, JW
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 348 : 465 - 480

← 1 2 3 4 5 →