The use of generation stochastic models to study an epidemic disease
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 dif...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English English |
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Springer
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30364/ http://psasir.upm.edu.my/id/eprint/30364/1/The%20use%20of%20generation%20stochastic%20models%20to%20study%20an%20epidemic%20disease.pdf |
| _version_ | 1848846655849234432 |
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| author | Chaharborj, Sarkhosh Seddighi Ismail, Fudziah Abu Bakar, Mohd Rizam Chaharborj, Reza Seddighi Abdul Majid, Zanariah Ahmad, Abd Ghafur |
| author_facet | Chaharborj, Sarkhosh Seddighi Ismail, Fudziah Abu Bakar, Mohd Rizam Chaharborj, Reza Seddighi Abdul Majid, Zanariah Ahmad, Abd Ghafur |
| author_sort | Chaharborj, Sarkhosh Seddighi |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T09:06:10Z |
| format | Article |
| id | upm-30364 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T09:06:10Z |
| publishDate | 2013 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-303642015-09-15T02:07:28Z http://psasir.upm.edu.my/id/eprint/30364/ The use of generation stochastic models to study an epidemic disease Chaharborj, Sarkhosh Seddighi Ismail, Fudziah Abu Bakar, Mohd Rizam Chaharborj, Reza Seddighi Abdul Majid, Zanariah Ahmad, Abd Ghafur 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. Springer 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30364/1/The%20use%20of%20generation%20stochastic%20models%20to%20study%20an%20epidemic%20disease.pdf Chaharborj, Sarkhosh Seddighi and Ismail, Fudziah and Abu Bakar, Mohd Rizam and Chaharborj, Reza Seddighi and Abdul Majid, Zanariah and Ahmad, Abd Ghafur (2013) The use of generation stochastic models to study an epidemic disease. Advances in Difference Equations, 2013. art. no. 7. pp. 1-9. ISSN 1687-1839; ESSN: 1687-1847 10.1186/1687-1847-2013-7 English |
| spellingShingle | Chaharborj, Sarkhosh Seddighi Ismail, Fudziah Abu Bakar, Mohd Rizam Chaharborj, Reza Seddighi Abdul Majid, Zanariah Ahmad, Abd Ghafur The use of generation stochastic models to study an epidemic disease |
| title | The use of generation stochastic models to study an epidemic disease |
| title_full | The use of generation stochastic models to study an epidemic disease |
| title_fullStr | The use of generation stochastic models to study an epidemic disease |
| title_full_unstemmed | The use of generation stochastic models to study an epidemic disease |
| title_short | The use of generation stochastic models to study an epidemic disease |
| title_sort | use of generation stochastic models to study an epidemic disease |
| url | http://psasir.upm.edu.my/id/eprint/30364/ http://psasir.upm.edu.my/id/eprint/30364/ http://psasir.upm.edu.my/id/eprint/30364/1/The%20use%20of%20generation%20stochastic%20models%20to%20study%20an%20epidemic%20disease.pdf |