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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Dr. M.O. Oke
Dr. M.O. Oke
σ
Dr. A.A. Obayomi
Dr. A.A. Obayomi
α Ekiti State University Ekiti State University

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

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. 2015. \u201cNumerical 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\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F6): .

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Issue Cover
GJSFR Volume 15 Issue F6
Pg. 27- 35
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 010499
Version of record

v1.2

Issue date

August 8, 2015

Language
en
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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.

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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. A.A. Obayomi
Dr. A.A. Obayomi
Dr. M.O. Oke
Dr. M.O. Oke Ekiti State University

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