Numerical Investigation of the Stability of Equilibrium Points for the Model of Three Mutually Competing, Symmetric and Continuous Time Reproducing Organism in a Fairly Stable Ecological Environment

Dr. M.O. Oke; Dr. A.A. Obayomi

Numerical Investigation of the Stability of Equilibrium Points for the Model of Three Mutually Competing, Symmetric and Continuous Time Reproducing Organism in a Fairly Stable Ecological Environment

Dr. M.O. Oke * §

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Dr. A.A. Obayomi

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Ekiti State University, Ado - Ekiti

Numerical Investigation of the Stability of Equilibrium Points for the Model of Three Mutually Competing, Symmetric and Continuous Time Reproducing Organism in a Fairly Stable Ecological Environment

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Abstract

In this paper, we examined the stability of the equilibrium points for the model of three mutually competing species within a stable ecosystem. For the stable ecosystem, we proposed that there are combinations of initial population densities and efficiency parameters that can balance the coexistence of these species for a very long time. This desirable biological property of a stable non-extinction equilibrium point for the ecosystem was obtained for all cases considered in this research work.

References

5 Cites in Article

Reference Format

Roumen Anguelov,Null- Lubuma (2003). Nonstandard finite difference method by nonlocal approximation.
E Beltrami (1986). Mathematics for Dynamic Modeling.
Ronald Mickens (1994). Nonstandard Finite Difference Models of Differential Equations.
R Mickens (2000). Applications of Nonstandard Methods to Initial Value Problems: World Scientific.
A Obayomi,M Oke (2015). On the Equilibrium Points of Three Mutually Competing, Symmetric and Continuous Time Reproducing Organisms.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Dr. M.O. Oke, Dr. A.A. Obayomi. 2015. "Numerical Investigation of the Stability of Equilibrium Points for the Model of Three Mutually Competing, Symmetric and Continuous Time Reproducing Organism in a Fairly Stable Ecological Environment". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F6).

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GJSFR Volume 15 Issue F6

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification MSC 2010: 010499

Submission ReceivedJuly 4, 2015
Peer Review Double Blind
Handling Editor
Accepted July 25, 2015
Published August 5, 2015

Version of record

v1.2

Issue date

August 8, 2015

Language

English

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Article Matrices

Total Score: 156

Country: Nigeria

Subject: Global Journal of Science Frontier Research

Authors: Dr. A.A. Obayomi, Dr. M.O. Oke (PhD/Dr. count: 2)

View Count (all-time): 286

Total Views (Real + Logic): 1136

Total Downloads (simulated): 81

Publish Date: 2015 08, Wed

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Total Views: 1.1K

Total Downloads: 81

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