A Mathematical Study of a Predator-Prey Dynamics with Disease in Predator
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-03
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We consider a predator-prey model where parasitic infection is spread in only predator population.
We work out the local stability analysis of equilibrium point by the help of basic reproduction numbers.
We also analyze the community structure of model system by the help of ecological as well as disease basic reproduction numbers.
We derive Hopf bifurcation condition and permanence and impermanence of model system.
We perform a numerical experiment and observe that parasitic infection in predator population stabilizes predator-prey oscillations.
American Psychological Association (APA)
Das, Krishna pada. 2011. A Mathematical Study of a Predator-Prey Dynamics with Disease in Predator. ISRN Applied Mathematics،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-499661
Modern Language Association (MLA)
Das, Krishna pada. A Mathematical Study of a Predator-Prey Dynamics with Disease in Predator. ISRN Applied Mathematics No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-499661
American Medical Association (AMA)
Das, Krishna pada. A Mathematical Study of a Predator-Prey Dynamics with Disease in Predator. ISRN Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-499661
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499661