Analytical investigation of fractional SEIRVQD measles mathematical model

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

Fahimi Milad; Nouri Kazem; Torkzadeh Leila

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Journal of Mathematical Modeling Year:2025 | Volume:13 | Issue:2 Page(s): 393-413

Download Full-Text

View:

Download:

Cites:

Information Journal Paper

Title

Analytical investigation of fractional SEIRVQD measles mathematical model

Author(s)

Fahimi Milad | Nouri Kazem | Torkzadeh Leila | Issue Writer Certificate

Keywords

Epidemic model

fractional SEIRVQD model

transmission simulation

Differential equation

Ulam-Hyer stability

measles

Lyapunov stability

Abstract

In this paper, we construct and formulate a new mathematical model for the spread of epidemic diseases with vaccination especially for Chinese measles. This model including susceptible $(S)$, exposed $(E)$, infected $(I)$, recovered $(R)$, vaccinated $(V)$, quarantined $(Q)$ and died individuals $(D)$ is been studied by applying Caputo fractional derivatives (CFD). We introduce the feasibility region and prove positively invariant property for this region. Then we prove the existence of a unique solution of our fractional measles model. Furthermore, the equilibrium points of the model are presented and the stability analysis of the model is proved based on Lyapunov and Ulam-Hyer criteria. The basic reproduction number $(R_0)$ is calculated by the next generation matrix method in order to demonstrate the level of measles virus invasion. Moreover, numerical simulations including data fitting are performed for different fractional orders to illustrate and validate the efficiency of the proposed model.

Multimedia

No record.

Cites

No record.

References

No record.

Cite

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans