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State Estimation of a Stochastic Model for the Spread of HIV in a Mobile Heterosexual Population
- Source :
- Indian Journal of Public Health Research & Development. 10:1444
- Publication Year :
- 2019
- Publisher :
- Diva Enterprises Private Limited, 2019.
-
Abstract
- This paper investigates the state estimation of a stochastic model for the spread of HIV in mobile heterosexual population. The transmission of HIV model with the force of infection in the multiple patches is investigated for the varying population. In this paper, we introduce a novel concept of the observer model like a transmission of HIV model to estimate the spread of HIV in mobile heterosexual population. The boundedness and the equilibrium points have been found for the error state of observer model and original model. The global stability properties are analyzed by the concept of Lyapunav function. The stochastic model is introduced for the examination of the stochastic stability of the positive equilibrium. The stochastic and deterministic models of the system are compared and analyzed. Finally numerical examples and corresponding diagrams are presented to support the results.
- Subjects :
- Lyapunov function
Equilibrium point
education.field_of_study
Observer (quantum physics)
Stochastic modelling
Computer science
Population
Public Health, Environmental and Occupational Health
Force of infection
Function (mathematics)
Stability (probability)
symbols.namesake
symbols
Quantitative Biology::Populations and Evolution
Applied mathematics
education
Subjects
Details
- ISSN :
- 09765506 and 09760245
- Volume :
- 10
- Database :
- OpenAIRE
- Journal :
- Indian Journal of Public Health Research & Development
- Accession number :
- edsair.doi...........0e36b7907e85413846f18ae22fbd0ce4