Periodic Solutions and Homoclinic Bifurcations of Two Predator-Prey Systems with Nonmonotonic Functional Response and Impulsive Harvesting
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-27
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Two predator-prey models with nonmonotonic functional response and state-dependent impulsive harvesting are formulated and analyzed.
By using the geometry theory of semicontinuous dynamic system, we obtain the existence, uniqueness, and stability of the periodic solution and analyse the dynamic phenomenon of homoclinic bifurcation of the first system by choosing the harvesting rate β as control parameter.
Besides, we also study the homoclinic bifurcation of the second system about parameter δ on the basis of the theory of rotated vector field.
Finally, numerical simulations are presented to illustrate the results.
American Psychological Association (APA)
Huang, Mingzhan& Song, Xinyu. 2014. Periodic Solutions and Homoclinic Bifurcations of Two Predator-Prey Systems with Nonmonotonic Functional Response and Impulsive Harvesting. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-499325
Modern Language Association (MLA)
Huang, Mingzhan& Song, Xinyu. Periodic Solutions and Homoclinic Bifurcations of Two Predator-Prey Systems with Nonmonotonic Functional Response and Impulsive Harvesting. Journal of Applied Mathematics No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-499325
American Medical Association (AMA)
Huang, Mingzhan& Song, Xinyu. Periodic Solutions and Homoclinic Bifurcations of Two Predator-Prey Systems with Nonmonotonic Functional Response and Impulsive Harvesting. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-499325
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499325