A Mathematical Study of a Predator-Prey Dynamics with Disease in Predator

Author

Das, Krishna pada

Source

ISRN Applied Mathematics

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

Mathematics

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