A study of cholera model with environmental fluctuations

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

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 languageEnglish
Pages (from-to)150-155
Number of pages6
JournalInternational Journal of Mathematical Models and Methods in Applied Sciences
Volume4
Issue number3
Publication statusPublished - 30 Nov 2010
Externally publishedYes

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Deterministic Model
Fluctuations
Stochastic Perturbation
Endemic Equilibrium
White noise
Dynamical Behavior
Inclusion
Oscillation
Model

Keywords

  • Cholera
  • Persistence
  • Stability
  • Stochasticity

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Mathematical Physics
  • Modelling and Simulation

Cite this

A study of cholera model with environmental fluctuations. / Gazi, N. H.; Das, K.; Mukandavire, Z.; Chiyaka, C.; Das, P.

In: International Journal of Mathematical Models and Methods in Applied Sciences, Vol. 4, No. 3, 30.11.2010, p. 150-155.

Research output: Contribution to journalArticle

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