A study of cholera model with environmental fluctuations

N. H. Gazi; K. Das; Z. Mukandavire; C. Chiyaka; P. Das

A study of cholera model with environmental fluctuations

N. H. Gazi, K. Das, Z. Mukandavire, C. Chiyaka, P. Das

Research output: Contribution to journal › Article › peer-review

Abstract

The study focuses on randomly fluctuating phenomena of cholera deterministic model by incorporating white noise stochastic perturbation. For the deterministic model, stability of the equilibria and persistent aspects of population are discussed. Variances of population are evaluated for the model system at the endemic equilibrium. We conclude from the study that the inclusion of environmental fluctuation does not change substantially the dynamical behaviour of the system although it induces some initial random oscillations.

Original language	English
Pages (from-to)	150-155
Number of pages	6
Journal	International Journal of Mathematical Models and Methods in Applied Sciences
Volume	4
Issue number	3
Publication status	Published - 30 Nov 2010
Externally published	Yes

Keywords

Cholera
Persistence
Stability
Stochasticity

ASJC Scopus subject areas

Applied Mathematics
Computational Mathematics
Mathematical Physics
Modelling and Simulation

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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https://www.naun.org/main/NAUN/ijmmas/19-072.pdf

Cite this

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title = "A study of cholera model with environmental fluctuations",

abstract = "The study focuses on randomly fluctuating phenomena of cholera deterministic model by incorporating white noise stochastic perturbation. For the deterministic model, stability of the equilibria and persistent aspects of population are discussed. Variances of population are evaluated for the model system at the endemic equilibrium. We conclude from the study that the inclusion of environmental fluctuation does not change substantially the dynamical behaviour of the system although it induces some initial random oscillations.",

keywords = "Cholera, Persistence, Stability, Stochasticity",

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AU - Gazi, N. H.

AU - Das, K.

AU - Mukandavire, Z.

AU - Chiyaka, C.

AU - Das, P.

PY - 2010/11/30

Y1 - 2010/11/30

N2 - The study focuses on randomly fluctuating phenomena of cholera deterministic model by incorporating white noise stochastic perturbation. For the deterministic model, stability of the equilibria and persistent aspects of population are discussed. Variances of population are evaluated for the model system at the endemic equilibrium. We conclude from the study that the inclusion of environmental fluctuation does not change substantially the dynamical behaviour of the system although it induces some initial random oscillations.

AB - The study focuses on randomly fluctuating phenomena of cholera deterministic model by incorporating white noise stochastic perturbation. For the deterministic model, stability of the equilibria and persistent aspects of population are discussed. Variances of population are evaluated for the model system at the endemic equilibrium. We conclude from the study that the inclusion of environmental fluctuation does not change substantially the dynamical behaviour of the system although it induces some initial random oscillations.

KW - Cholera

KW - Persistence

KW - Stability

KW - Stochasticity

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M3 - Article

AN - SCOPUS:78649384820

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VL - 4

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EP - 155

JO - International Journal of Mathematical Models and Methods in Applied Sciences

JF - International Journal of Mathematical Models and Methods in Applied Sciences

IS - 3

ER -

A study of cholera model with environmental fluctuations

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

Access to Document

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