Julia Sets and Their Control of Discrete Fractional SIRS Models

Joint Authors

Zhang, Yongping
Ouyang, Miao

Source

Complexity

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-06-04

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Philosophy

Abstract EN

It is of crucial significance to study infectious disease phenomenon by using the discrete SIRS model with the Caputo deltas sense and fractal viewpoint.

In this paper, Julia set of the discrete fractional SIRS model is established to analyze the fractal dynamics of this model.

Then three different controllers, which are, respectively, added to different parts of the model as a whole, a part, and a product factor, are designed to change the Julia set, and the graphs illustrate the complexity of the model.

Simulation results show the efficacy of these methods.

American Psychological Association (APA)

Ouyang, Miao& Zhang, Yongping. 2019. Julia Sets and Their Control of Discrete Fractional SIRS Models. Complexity،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1132003

Modern Language Association (MLA)

Ouyang, Miao& Zhang, Yongping. Julia Sets and Their Control of Discrete Fractional SIRS Models. Complexity No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1132003

American Medical Association (AMA)

Ouyang, Miao& Zhang, Yongping. Julia Sets and Their Control of Discrete Fractional SIRS Models. Complexity. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1132003

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1132003