A STOCHASTIC DIFFERENTIAL EQUATION (SDE) BASED MODEL FOR THE SPREAD OF TUBERCULOSIS
Keywords:
Deterministic model, Stochastic model, Stochastic Differential Equation, TuberculosisAbstract
Understanding dynamics of an infectious disease helps in designing appropriate strategies for containing its spread in a population. In this work, a deterministic and stochastic model of the transmission dynamics of Tuberculosis is developed and analyzed. The models involve the Susceptible, Exposed, Infectious and Recovered individuals. We computed the basic reproduction number and showed that for, the disease-free equilibrium is globally asymptotically stable. The resulting deterministic model was transformed into an equivalent stochastic model resulting in stochastic differential equation. The drift coefficient, the covariance matrix and the diffusion matrix were determined using the method proposed by Allen et al. (2008).
Published
How to Cite
Issue
Section
FUDMA Journal of Sciences
How to Cite
Most read articles by the same author(s)
- Otache Innocent Ogwuche, T. A. Emonyi, DETERMINISTIC AND STOCHASTIC MODEL FOR THE TRANSMISSION OF LASSA FEVER , FUDMA JOURNAL OF SCIENCES: Vol. 8 No. 1 (2024): FUDMA Journal of Sciences - Vol. 8 No. 1