Stationary Patterns of a Cross-Diffusion Epidemic Model

Joint Authors

Wang, Weiming
Cai, Yongli
Liu, Wenbin
Chi, Dongxuan

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-11-12

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

We investigate the complex dynamics of cross-diffusion SI epidemic model.

We first give the conditions of the local and global stability of the nonnegative constant steady states, which indicates that the basic reproduction number determines whether there is an endemic outbreak or not.

Furthermore, we prove the existence and nonexistence of the positive nonconstant steady states, which guarantees the existence of the stationary patterns.

American Psychological Association (APA)

Cai, Yongli& Chi, Dongxuan& Liu, Wenbin& Wang, Weiming. 2013. Stationary Patterns of a Cross-Diffusion Epidemic Model. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-503434

Modern Language Association (MLA)

Cai, Yongli…[et al.]. Stationary Patterns of a Cross-Diffusion Epidemic Model. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-503434

American Medical Association (AMA)

Cai, Yongli& Chi, Dongxuan& Liu, Wenbin& Wang, Weiming. Stationary Patterns of a Cross-Diffusion Epidemic Model. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-503434

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-503434