Research Article

A prey-predator model with a refuge for prey

Volume: 15 Number: 2 November 30, 2018
EN

A prey-predator model with a refuge for prey

Abstract

In this paper, we see a prey-predator mathematical model with a refuge for prey. Dynamical
behaviours such as boundary and stability are considered.


Keywords

References

  1. [1] F. Brauer, J. A. Nohel, The Qualitative Theory of Ordinary Differential Equations, Dover Publication, New York,(1996).
  2. [2] M. Farkas, On the stability of one-predator two-prey systems, Rocky Mountain J. Math, 20, (1990), 909-916.[3] M. Farkas, H. I. Freedman, Stability conditions for two predator- one prey systems, Acta Appl. Math, 14, (1989),3-10.
  3. [4] K. Lakshminarayan, A. Apparao, A prey-predator model with cover linearly varying with the prey population andalternate food for the predator, Int. J. Open Problems Compt. Math, 3, (2009), 416-426.
  4. [5] Z. Liu, S. Zhong, Permanence and extinction analysis for a delayed periodic predator-prey system with Hollingtype II response function and diffusion, Applied Mathematics and Computation, 216, (2010), 3002-3015.
  5. [6] A. J. Lotka, Elements of physical Biology, New York: Dover, (1924).
  6. [7] B. Mukhopadhyay, R. Bhattacharyya, Dynamics of a delay-diffusion prey-predator model with disease in the prey,J. Appl. Math. and Computing, 20, (2005), 361-377.
  7. [8] V. Volterra, Lecons sur la th´eorie mathematique de la leitte pour la vie, Gauthier-Villars, paris, (1931).
  8. [9] X. Zhou, X. Shi, X. Song. X, Analysis of a delay prey-predator model with disease in the prey species only, J.Korean Math. Soc 46, (2009), 713-731.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

November 30, 2018

Submission Date

September 16, 2018

Acceptance Date

October 4, 2018

Published in Issue

Year 2018 Volume: 15 Number: 2

APA
Mohamadhasani, M. (2018). A prey-predator model with a refuge for prey. Cankaya University Journal of Science and Engineering, 15(2). https://izlik.org/JA29FC57EP
AMA
1.Mohamadhasani M. A prey-predator model with a refuge for prey. CUJSE. 2018;15(2). https://izlik.org/JA29FC57EP
Chicago
Mohamadhasani, Mahboobeh. 2018. “A Prey-Predator Model With a Refuge for Prey”. Cankaya University Journal of Science and Engineering 15 (2). https://izlik.org/JA29FC57EP.
EndNote
Mohamadhasani M (November 1, 2018) A prey-predator model with a refuge for prey. Cankaya University Journal of Science and Engineering 15 2
IEEE
[1]M. Mohamadhasani, “A prey-predator model with a refuge for prey”, CUJSE, vol. 15, no. 2, Nov. 2018, [Online]. Available: https://izlik.org/JA29FC57EP
ISNAD
Mohamadhasani, Mahboobeh. “A Prey-Predator Model With a Refuge for Prey”. Cankaya University Journal of Science and Engineering 15/2 (November 1, 2018). https://izlik.org/JA29FC57EP.
JAMA
1.Mohamadhasani M. A prey-predator model with a refuge for prey. CUJSE. 2018;15. Available at https://izlik.org/JA29FC57EP.
MLA
Mohamadhasani, Mahboobeh. “A Prey-Predator Model With a Refuge for Prey”. Cankaya University Journal of Science and Engineering, vol. 15, no. 2, Nov. 2018, https://izlik.org/JA29FC57EP.
Vancouver
1.Mahboobeh Mohamadhasani. A prey-predator model with a refuge for prey. CUJSE [Internet]. 2018 Nov. 1;15(2). Available from: https://izlik.org/JA29FC57EP