# The use of generation stochastic models to study an epidemic disease

S. Seddighi Chaharborj, I. Fudziah, Mr Abu Bakar, R. Seddighi Chaharborj, Z. A. Majid, Abd. Ghafur Ahmad

Research output: Contribution to journalArticle

2 Citations (Scopus)

### Abstract

Stochastic models have an important role in modeling and analyzing epidemic diseases for small size population. In this article, we study the generation of stochastic models for epidemic disease susceptible-infective-susceptible model. Here, we use the separation variable method to solve partial differential equation and the new developed modified probability generating function (PGF) of a random process to include a random catastrophe to solve the ordinary differential equations generated from partial differential equation. The results show that the probability function is too sensitive to μ, β and γ parameters.

Original language English 7 Advances in Difference Equations 2013 https://doi.org/10.1186/1687-1847-2013-7 Published - 2013

### Fingerprint

Stochastic models
Partial differential equations
Stochastic Model
Partial differential equation
Probability generating function
Catastrophe
Probability function
Random process
Population Size
Random processes
Ordinary differential equations
Ordinary differential equation
Modeling
Model

### Keywords

• deterministic model
• epidemic diseases
• probability function
• stochastic model
• susceptible-infective-susceptible

### ASJC Scopus subject areas

• Applied Mathematics
• Algebra and Number Theory
• Analysis

### Cite this

Seddighi Chaharborj, S., Fudziah, I., Abu Bakar, M., Seddighi Chaharborj, R., Majid, Z. A., & Ahmad, A. G. (2013). The use of generation stochastic models to study an epidemic disease. Advances in Difference Equations, 2013, [7]. https://doi.org/10.1186/1687-1847-2013-7

The use of generation stochastic models to study an epidemic disease. / Seddighi Chaharborj, S.; Fudziah, I.; Abu Bakar, Mr; Seddighi Chaharborj, R.; Majid, Z. A.; Ahmad, Abd. Ghafur.

In: Advances in Difference Equations, Vol. 2013, 7, 2013.

Research output: Contribution to journalArticle

Seddighi Chaharborj, S, Fudziah, I, Abu Bakar, M, Seddighi Chaharborj, R, Majid, ZA & Ahmad, AG 2013, 'The use of generation stochastic models to study an epidemic disease', Advances in Difference Equations, vol. 2013, 7. https://doi.org/10.1186/1687-1847-2013-7
Seddighi Chaharborj, S. ; Fudziah, I. ; Abu Bakar, Mr ; Seddighi Chaharborj, R. ; Majid, Z. A. ; Ahmad, Abd. Ghafur. / The use of generation stochastic models to study an epidemic disease. In: Advances in Difference Equations. 2013 ; Vol. 2013.
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