State-Dependent Pulse Vaccination and Therapeutic Strategy in an SI Epidemic Model with Nonlinear Incidence Rate
Joint Authors
Chen, Lansun
Liu, Kaiyuan
Zhang, Tongqian
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-06
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, the state-dependent pulse vaccination and therapeutic strategy are considered in the control of the disease.
A pulse system is built to model this process based on an SI ordinary differential equation model.
At first, for the system neglecting the impulse effect, we give the classification of singular points.
Then for the pulse system, by using the theory of the semicontinuous dynamic system, the dynamics is analyzed.
Our analysis shows that the pulse system exhibits rich dynamics and the system has a unique order-1 homoclinic cycle, and by choosing p as the control parameter, the order-1 homoclinic cycle disappears and bifurcates an orbitally asymptotical stable order-1 periodic solution when p changes.
Numerical simulations by maple 18 are carried out to illustrate the theoretical results.
American Psychological Association (APA)
Liu, Kaiyuan& Zhang, Tongqian& Chen, Lansun. 2019. State-Dependent Pulse Vaccination and Therapeutic Strategy in an SI Epidemic Model with Nonlinear Incidence Rate. Computational and Mathematical Methods in Medicine،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1130550
Modern Language Association (MLA)
Liu, Kaiyuan…[et al.]. State-Dependent Pulse Vaccination and Therapeutic Strategy in an SI Epidemic Model with Nonlinear Incidence Rate. Computational and Mathematical Methods in Medicine No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1130550
American Medical Association (AMA)
Liu, Kaiyuan& Zhang, Tongqian& Chen, Lansun. State-Dependent Pulse Vaccination and Therapeutic Strategy in an SI Epidemic Model with Nonlinear Incidence Rate. Computational and Mathematical Methods in Medicine. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1130550
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1130550