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Order and Chaos in a Prey-Predator Model Incorporating Refuge, Disease, and Harvesting
Joint Authors
Abdul Satar, Huda
Bahlool, Dahlia Khaled
Ibrahim, Hiba Abdullah
Source
Journal of Applied Mathematics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-03
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
In this paper, a mathematical model consisting of a prey-predator system incorporating infectious disease in the prey has been proposed and analyzed.
It is assumed that the predator preys upon the nonrefugees prey only according to the modified Holling type-II functional response.
There is a harvesting process from the predator.
The existence and uniqueness of the solution in addition to their bounded are discussed.
The stability analysis of the model around all possible equilibrium points is investigated.
The persistence conditions of the system are established.
Local bifurcation analysis in view of the Sotomayor theorem is carried out.
Numerical simulation has been applied to investigate the global dynamics and specify the effect of varying the parameters.
It is observed that the system has a chaotic dynamics.
American Psychological Association (APA)
Bahlool, Dahlia Khaled& Abdul Satar, Huda& Ibrahim, Hiba Abdullah. 2020. Order and Chaos in a Prey-Predator Model Incorporating Refuge, Disease, and Harvesting. Journal of Applied Mathematics،Vol. 2020, no. 2020, pp.1-19.
https://search.emarefa.net/detail/BIM-1174538
Modern Language Association (MLA)
Bahlool, Dahlia Khaled…[et al.]. Order and Chaos in a Prey-Predator Model Incorporating Refuge, Disease, and Harvesting. Journal of Applied Mathematics No. 2020 (2020), pp.1-19.
https://search.emarefa.net/detail/BIM-1174538
American Medical Association (AMA)
Bahlool, Dahlia Khaled& Abdul Satar, Huda& Ibrahim, Hiba Abdullah. Order and Chaos in a Prey-Predator Model Incorporating Refuge, Disease, and Harvesting. Journal of Applied Mathematics. 2020. Vol. 2020, no. 2020, pp.1-19.
https://search.emarefa.net/detail/BIM-1174538
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174538