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Analysis of a Deterministic and a Stochastic SIS Epidemic Model with Double Epidemic Hypothesis and Specific Functional Response
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-26
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The purpose of this paper is to investigate the stability of a deterministic and stochastic SIS epidemic model with double epidemic hypothesis and specific nonlinear incidence rate.
We prove the local asymptotic stability of the equilibria of the deterministic model.
Moreover, by constructing a suitable Lyapunov function, we obtain a sufficient condition for the global stability of the disease-free equilibrium.
For the stochastic model, we establish global existence and positivity of the solution.
Thereafter, stochastic stability of the disease-free equilibrium in almost sure exponential and pth moment exponential is investigated.
Finally, numerical examples are presented.
American Psychological Association (APA)
Naim, Mouhcine& Lahmidi, Fouad. 2020. Analysis of a Deterministic and a Stochastic SIS Epidemic Model with Double Epidemic Hypothesis and Specific Functional Response. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1153150
Modern Language Association (MLA)
Naim, Mouhcine& Lahmidi, Fouad. Analysis of a Deterministic and a Stochastic SIS Epidemic Model with Double Epidemic Hypothesis and Specific Functional Response. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1153150
American Medical Association (AMA)
Naim, Mouhcine& Lahmidi, Fouad. Analysis of a Deterministic and a Stochastic SIS Epidemic Model with Double Epidemic Hypothesis and Specific Functional Response. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1153150
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153150