A prey-predator model with cover for the prey and an alternative food for the predator and constant harvesting of both the species
Joint Authors
Narayan, K. Lakshmi
Pattabhiramacharyulu, N.
Source
Jordan Journal of Mathematics and Statistics
Issue
Vol. 2, Issue 1 (30 Jun. 2009), pp.43-54, 12 p.
Publisher
Yarmouk University Deanship of Research and Graduate Studies
Publication Date
2009-06-30
Country of Publication
Jordan
No. of Pages
12
Main Subjects
Abstract EN
The present paper is devoted to an analytical investigation of a two species prey predator model.
Predator is provided with a limited resource of food in addition to the prey and a cover to prey proportionate to its population to get protection from the predator.
Both the prey and predator are harvested at a constant rate.
The model is characterized by couple of first order non-linear ordinary differential equations.
The lone equilibrium point of the model is identified and its stability criteria are discussed.
The Global stability of linearized equations is discussed by constructing a suitable Liapunov’s function.
A threshold theorem is stated and results are discussed.
American Psychological Association (APA)
Narayan, K. Lakshmi& Pattabhiramacharyulu, N.. 2009. A prey-predator model with cover for the prey and an alternative food for the predator and constant harvesting of both the species. Jordan Journal of Mathematics and Statistics،Vol. 2, no. 1, pp.43-54.
https://search.emarefa.net/detail/BIM-272745
Modern Language Association (MLA)
Narayan, K. Lakshmi& Pattabhiramacharyulu, N.. A prey-predator model with cover for the prey and an alternative food for the predator and constant harvesting of both the species. Jordan Journal of Mathematics and Statistics Vol. 2, no. 1 (Jun. 2009), pp.43-54.
https://search.emarefa.net/detail/BIM-272745
American Medical Association (AMA)
Narayan, K. Lakshmi& Pattabhiramacharyulu, N.. A prey-predator model with cover for the prey and an alternative food for the predator and constant harvesting of both the species. Jordan Journal of Mathematics and Statistics. 2009. Vol. 2, no. 1, pp.43-54.
https://search.emarefa.net/detail/BIM-272745
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 54
Record ID
BIM-272745
