Global Dynamics of a Host-Vector-Predator Mathematical Model
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-21
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A mathematical model which links predator-vector(prey) and host-vector theory is proposed to examine the indirect effect of predators on vector-host dynamics.
The equilibria and the basic reproduction number R0 are obtained.
By constructing Lyapunov functional and using LaSalle’s invariance principle, global stability of both the disease-free and disease equilibria are obtained.
Analytical results show that R0 provides threshold conditions on determining the uniform persistence and extinction of the disease, and predator density at any time should keep larger or equal to its equilibrium level for successful disease eradication.
Finally, taking the predation rate as parameter, we provide numerical simulations for the impact of predators on vector-host disease control.
It is illustrated that predators have a considerable influence on disease suppression by reducing the density of the vector population.
American Psychological Association (APA)
Zhou, Fengyan& Yao, Hong-Xing. 2014. Global Dynamics of a Host-Vector-Predator Mathematical Model. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-456920
Modern Language Association (MLA)
Zhou, Fengyan& Yao, Hong-Xing. Global Dynamics of a Host-Vector-Predator Mathematical Model. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-456920
American Medical Association (AMA)
Zhou, Fengyan& Yao, Hong-Xing. Global Dynamics of a Host-Vector-Predator Mathematical Model. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-456920
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456920