On the mathematical model of two-prey and two-predator species
Other Title(s)
حول النموذج الرياضي لنوعين من الفرائس و نوعين من المفترسات
Author
Source
Issue
Vol. 61, Issue 3 (31 Mar. 2020), pp.608-619, 12 p.
Publisher
University of Baghdad College of Science
Publication Date
2020-03-31
Country of Publication
Iraq
No. of Pages
12
Main Subjects
Topics
Abstract EN
In this work, we study two species of predator with two species of prey model, where the two species of prey live in two diverse habitats and have the ability to group-defense.
Only one of the two predators tends to switch between the habitats.
The mathematical model has at most 13 possible equilibrium points, one of which is the point of origin, two are axial, tow are interior points and the others are boundary points.
The model with , where n is the switching index, is discussed regarding the boundedness of its solutions and the local stability of its equilibrium points.
In addition, a basin of attraction was created for the interior point.
Finally, three numerical examples were given to support the theoretical results.
American Psychological Association (APA)
Farhan, Abd al-Khidr Ghali. 2020. On the mathematical model of two-prey and two-predator species. Iraqi Journal of Science،Vol. 61, no. 3, pp.608-619.
https://search.emarefa.net/detail/BIM-970069
Modern Language Association (MLA)
Farhan, Abd al-Khidr Ghali. On the mathematical model of two-prey and two-predator species. Iraqi Journal of Science Vol. 61, no. 3 (2020), pp.608-619.
https://search.emarefa.net/detail/BIM-970069
American Medical Association (AMA)
Farhan, Abd al-Khidr Ghali. On the mathematical model of two-prey and two-predator species. Iraqi Journal of Science. 2020. Vol. 61, no. 3, pp.608-619.
https://search.emarefa.net/detail/BIM-970069
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 619
Record ID
BIM-970069