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A prey-predator model with a refuge for prey

Year 2018, Volume: 15 Issue: 2, - , 30.11.2018

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.


References

  • [1] F. Brauer, J. A. Nohel, The Qualitative Theory of Ordinary Differential Equations, Dover Publication, New York,(1996).
  • [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.
  • [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.
  • [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.
  • [6] A. J. Lotka, Elements of physical Biology, New York: Dover, (1924).
  • [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.
  • [8] V. Volterra, Lecons sur la th´eorie mathematique de la leitte pour la vie, Gauthier-Villars, paris, (1931).
  • [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.
Year 2018, Volume: 15 Issue: 2, - , 30.11.2018

Abstract

References

  • [1] F. Brauer, J. A. Nohel, The Qualitative Theory of Ordinary Differential Equations, Dover Publication, New York,(1996).
  • [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.
  • [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.
  • [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.
  • [6] A. J. Lotka, Elements of physical Biology, New York: Dover, (1924).
  • [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.
  • [8] V. Volterra, Lecons sur la th´eorie mathematique de la leitte pour la vie, Gauthier-Villars, paris, (1931).
  • [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.
There are 8 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Mahboobeh Mohamadhasani

Publication Date November 30, 2018
Published in Issue Year 2018 Volume: 15 Issue: 2

Cite

APA Mohamadhasani, M. (2018). A prey-predator model with a refuge for prey. Cankaya University Journal of Science and Engineering, 15(2).
AMA Mohamadhasani M. A prey-predator model with a refuge for prey. CUJSE. November 2018;15(2).
Chicago Mohamadhasani, Mahboobeh. “A Prey-Predator Model With a Refuge for Prey”. Cankaya University Journal of Science and Engineering 15, no. 2 (November 2018).
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 M. Mohamadhasani, “A prey-predator model with a refuge for prey”, CUJSE, vol. 15, no. 2, 2018.
ISNAD Mohamadhasani, Mahboobeh. “A Prey-Predator Model With a Refuge for Prey”. Cankaya University Journal of Science and Engineering 15/2 (November 2018).
JAMA Mohamadhasani M. A prey-predator model with a refuge for prey. CUJSE. 2018;15.
MLA Mohamadhasani, Mahboobeh. “A Prey-Predator Model With a Refuge for Prey”. Cankaya University Journal of Science and Engineering, vol. 15, no. 2, 2018.
Vancouver Mohamadhasani M. A prey-predator model with a refuge for prey. CUJSE. 2018;15(2).