Filippov Ratio-Dependent Prey-Predator Model with Threshold Policy Control
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-23
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The Filippov ratio-dependent prey-predator model with economic threshold is proposed and studied.
In particular, the sliding mode domain, sliding mode dynamics, and the existence of four types of equilibria and tangent points are investigated firstly.
Further, the stability of pseudoequilibrium is addressed by using theoretical and numerical methods, and also the local sliding bifurcations including regular/virtual equilibrium bifurcations and boundary node bifurcations are studied.
Finally, some global sliding bifurcations are addressed numerically.
The globally stable touching cycle indicates that the density of pest population can be successfully maintained below the economic threshold level by designing suitable threshold policy strategies.
American Psychological Association (APA)
Zhang, Xianghong& Tang, Sanyi. 2013. Filippov Ratio-Dependent Prey-Predator Model with Threshold Policy Control. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-459957
Modern Language Association (MLA)
Zhang, Xianghong& Tang, Sanyi. Filippov Ratio-Dependent Prey-Predator Model with Threshold Policy Control. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-459957
American Medical Association (AMA)
Zhang, Xianghong& Tang, Sanyi. Filippov Ratio-Dependent Prey-Predator Model with Threshold Policy Control. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-459957
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-459957