nach oben

Fuzzy Optimization and Decision Making

Erschienen in:

02.05.2019

Analysis of uncertain SIS epidemic model with nonlinear incidence and demography

verfasst von: Zhiming Li, Zhidong Teng

Erschienen in: Fuzzy Optimization and Decision Making | Ausgabe 4/2019

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

Based on uncertainty theory, this paper studies an uncertain SIS epidemic model with nonlinear incidence and demography. The solution, \(\alpha \)-paths and uncertainty distribution of uncertain model are discussed. Under threshold conditions, extinction and permanence of the disease are studied by \(\alpha \)-paths, which reveal the relationship of deterministic and uncertain models. An example is given to illustrate the above results.

Vorheriger Artikel Deadline-based incentive contracts in project management with cost salience

Nächster Artikel A procedure for group decision making with interval-valued intuitionistic linguistic fuzzy preference relations

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Alberto, O. (2002). Stability properties of pulse vaccination strategy in SEIR epidemic model. Mathematical Biosciences, 179, 57–72.MathSciNetCrossRef

Bai, Y. Z., & Mu, X. Q. (2018). Global asymptotic stability of a generalized SIRS epidemic model with transfer from infectious to susceptible. Journal of Applied Analysis and Computation, 8, 402–412.MathSciNet

Chen, X., & Gao, J. (2013). Uncertain term structure model of interest rate. Soft Computing, 17(4), 597–604.CrossRef

Gray, A., Greenhalgh, D., Hu, L., Mao, X., & Pan, J. (2011). A stochastic differential equation SIS epidemic model. SIAM Journal on Applied Mathematics, 71, 876–902.MathSciNetCrossRef

Hethcote, H. W. (2000). The mathematics of infectious disease. SIAM Review, 42, 599–653.MathSciNetCrossRef

Lahrouz, A., & Omari, L. (2013). Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence. Statistics & Probability Letters, 83, 960–968.MathSciNetCrossRef

Li, B., Yuan, S., & Zhang, W. (2011). Analysis on an epidemic model with a ratio-dependent nonlinear incidence rate. International Journal of Biomathematics, 4, 227–239.MathSciNetCrossRef

Li, M., Sheng, Y., Teng, Z., & Miao, H. (2017). An uncertain differential equation for SIS epidemic model. Journal of Intelligent & Fuzzy Systems, 33, 2317–2327.CrossRef

Liu, B. (2007). Uncertainty theory (2nd ed.). Berlin: Springer.MATH

Liu, B. (2008). Fuzzy process, hybird process and uncertain process. Journal of Uncertain Systems, 2, 3–16.

Liu, B. (2009). Some research problems in uncertainty theory. Journal of Uncertain Systems, 3, 3–10.

Liu, B. (2010). Uncertainty theory: A branch of mathematics for modeling human uncertainty. Berlin: Springer.CrossRef

Liu, B. (2014). Uncertainty distribution and independence of uncertain processes. Fuzzy Optimization and Decision Making, 13, 259–271.MathSciNetCrossRef

Liu, Y. (2012). An analytic method for solving uncertain differential equations. Journal of Uncertain Systems, 6, 244–249.

Tornatore, E., Buccellato, S. M., & Vetro, P. (2005). Stability of a stochastic SIR system. Physica A: Statistical Mechanics and its Applications, 354, 111–126.CrossRef

Wang, Y., Liu, L. S., Zhang, X. G., & Wu, Y. H. (2015). Positive solutions of a fractional semipositone differential system arising from the study of HIV infection models. Applied Mathematics and Computation, 258, 312–324.MathSciNetCrossRef

Wei, F., & Chen, F. (2016). Stochastic permanence of an SIQS epidmic model with saturated incidence and independent random perturbations. Physica A: Statistical Mechanics and its Applications, 453, 99–107.MathSciNetCrossRef

Yao, K. (2015). Uncertain contour process and its application in stock model with floating interest rate. Fuzzy Optimization and Decision Making, 14, 399–424.MathSciNetCrossRef

Yao, K., & Chen, X. (2013). A numerical method for solving uncertain differential equations. Journal of Intelligent & Fuzzy Systems, 25, 825–832.MathSciNetMATH

Yuan, S., & Li, B. (2009). Global dynamics of an epidemic model with a ratio-dependent nonlinear incidence rate. Discrete Dynamics in Nature and Society. https://doi.org/10.1155/2009/609306.CrossRef

Zhao, Y., Jiang, D., & O’Regan, D. (2013). The extinctioin and persistence of stochastic SIS epidemic model with vaccination. Physica A: Statistical Mechanics and its Applications, 392, 4916–4927.MathSciNetCrossRef

Titel: Analysis of uncertain SIS epidemic model with nonlinear incidence and demography
verfasst von: Zhiming Li
Zhidong Teng
Publikationsdatum: 02.05.2019
Verlag: Springer US
Erschienen in: Fuzzy Optimization and Decision Making / Ausgabe 4/2019
Print ISSN: 1568-4539
Elektronische ISSN: 1573-2908
DOI: https://doi.org/10.1007/s10700-019-09303-x

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Springer Professional "Technik"

Weitere Artikel der Ausgabe 4/2019

A single-variable method for solving min–max programming problem with addition-min fuzzy relational inequalities

Generalized extension principle for non-normal fuzzy sets

A procedure for group decision making with interval-valued intuitionistic linguistic fuzzy preference relations

Deadline-based incentive contracts in project management with cost salience

Multiple objective optimization for systems with addition–min fuzzy relational inequalities

Premium Partner