Dynamical Properties of a Delay Prey-Predator Model with Disease in the Prey Species Only
Joint Authors
Shi, Xiangyun
Zhou, Xueyong
Song, Xinyu
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-12-30
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
A three-dimensional ecoepidemiological model with delay is considered.
We first investigate the existence and stability of the equilibria.
We then study the effect of the time delay on the stability of the positive equilibrium.
The existence of a Hopf bifurcation at the positive equilibrium is obtained through the study of an exponential polynomial equation with delay-dependent coefficients.
Numerical simulation with a hypothetical set of data has been carried out to support the analytical findings.
American Psychological Association (APA)
Shi, Xiangyun& Zhou, Xueyong& Song, Xinyu. 2010. Dynamical Properties of a Delay Prey-Predator Model with Disease in the Prey Species Only. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-16.
https://search.emarefa.net/detail/BIM-453672
Modern Language Association (MLA)
Shi, Xiangyun…[et al.]. Dynamical Properties of a Delay Prey-Predator Model with Disease in the Prey Species Only. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-16.
https://search.emarefa.net/detail/BIM-453672
American Medical Association (AMA)
Shi, Xiangyun& Zhou, Xueyong& Song, Xinyu. Dynamical Properties of a Delay Prey-Predator Model with Disease in the Prey Species Only. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-16.
https://search.emarefa.net/detail/BIM-453672
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453672
