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Stability and Bifurcation of a Prey-Predator-Scavenger Model in the Existence of Toxicant and Harvesting
Joint Authors
Naji, Raid Kamel
Abdul Satar, Huda
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-26
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
In this paper a prey-predator-scavenger food web model is proposed and studied.
It is assumed that the model considered the effect of harvesting and all the species are infected by some toxicants released by some other species.
The stability analysis of all possible equilibrium points is discussed.
The persistence conditions of the system are established.
The occurrence of local bifurcation around the equilibrium points is investigated.
Numerical simulation is used and the obtained solution curves are drawn to illustrate the results of the model.
Finally, the nonexistence of periodic dynamics is discussed analytically as well as numerically.
American Psychological Association (APA)
Abdul Satar, Huda& Naji, Raid Kamel. 2019. Stability and Bifurcation of a Prey-Predator-Scavenger Model in the Existence of Toxicant and Harvesting. International Journal of Mathematics and Mathematical Sciences،Vol. 2019, no. 2019, pp.1-17.
https://search.emarefa.net/detail/BIM-1166339
Modern Language Association (MLA)
Abdul Satar, Huda& Naji, Raid Kamel. Stability and Bifurcation of a Prey-Predator-Scavenger Model in the Existence of Toxicant and Harvesting. International Journal of Mathematics and Mathematical Sciences No. 2019 (2019), pp.1-17.
https://search.emarefa.net/detail/BIM-1166339
American Medical Association (AMA)
Abdul Satar, Huda& Naji, Raid Kamel. Stability and Bifurcation of a Prey-Predator-Scavenger Model in the Existence of Toxicant and Harvesting. International Journal of Mathematics and Mathematical Sciences. 2019. Vol. 2019, no. 2019, pp.1-17.
https://search.emarefa.net/detail/BIM-1166339
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1166339