Dynamical Analysis of Prey Refuge in a Predator-Prey System with Rosenzweig Functional Response

Zhi Hui Ma; Shu Fan Wang; Wen Ting Wang

doi:10.4028/www.scientific.net/AMR.271-273.577

Paper Titles

The Method of Real-Time Viewshed Analysis on 3D Virtual Earth
p.558

Product Rapid Response Design Based on Knowledge Engineering
p.563

Research on Domestication Process of Lactic Acid Bacteria for Jujube Beverage by Response Surface Methodology
p.569

Evaluation of Jujube Beverage Prescriptions with Fuzzy Mathematics
p.573

Dynamical Analysis of Prey Refuge in a Predator-Prey System with Rosenzweig Functional Response
p.577

Application Research of Chaos Synchronization in Detecting Weak Signal
p.581

A Calculation Study on the Synthesis Routes of Oh-Al₁₃Cluster
p.586

Continuous-Time Optimal Portfolio Selection Strategy with Redemption Based on Stochastic Control
p.592

Noisy Speech Recognition Based on RBF Neural Network
p.597

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 271-273Dynamical Analysis of Prey Refuge in a...

Dynamical Analysis of Prey Refuge in a Predator-Prey System with Rosenzweig Functional Response

Abstract:

In this paper, we proposed a predator-prey system incorporating Rosenzweig functional response and prey refuges. We will consider the stability property of the equilibria. Our results show that refuges using by prey have stabilizing effect on the considered system.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 271-273)

Pages:

577-580

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.271-273.577

Citation:

Cite this paper

Online since:

July 2011

Authors:

Zhi Hui Ma, Shu Fan Wang, Wen Ting Wang

Keywords:

Predator-Prey Systems, Prey Refuge, Rosenzweig Functional Response, Stabilizing Effect

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] E. Gonzalez-Olivares and R. Ramos-Jiliberto, Dynamic consequences of prey refuges in a simple model system: more prey, fewer predators and enhanced stability, Ecol. Model. 166, 135-146. (2003).

DOI: 10.1016/s0304-3800(03)00131-5

Google Scholar

[2] G.W. Harrison, Global stability of predator-prey interactions, J. Math. Biol. 8, 39-171. (1979).

Google Scholar

[3] C.S. Holling, Some characteristics of simple types of predation and parasitism, The Can. Entomol. 1, 385-398. (1959).

DOI: 10.4039/ent91385-7

Google Scholar

[4] A. Sih, Prey refuges and predator-prey stability, Theor. Popul. Biol. 31, 1-12. (1987).

DOI: 10.1016/0040-5809(87)90019-0

Google Scholar

[5] J.M. McNair, The effects of refuges on predator-prey interactions: a reconsideration, Theor. Popul. Biol. 29, 38-63. (1986).

DOI: 10.1016/0040-5809(86)90004-3

Google Scholar

[6] G.D. Ruxton, Short term refuge use and stability of predator-prey models, Theor. Popul. Biol. 47, 1-17. (1995).

DOI: 10.1006/tpbi.1995.1001

Google Scholar

[7] T.K. Kar, Stability analysis of a prey-predator model incorporating a prey refuge, Communications in Nonlinear Science and Numerical Simulation, 10, 681-691. (2005).

DOI: 10.1016/j.cnsns.2003.08.006

Google Scholar

[8] Y. Huang and F. Chen and L. Zhong, Stability analysis of a prey-predator model with holling type III response function incorporating a prey refuge, Appl. Math. Comput. 182, 672-683. (2006).

DOI: 10.1016/j.amc.2006.04.030

Google Scholar

[9] Z. Ma et al., Effects of prey refuges on a predator-prey model with a class of functional responses: The role of refuges, Math. Biosci. 218, 73-79. (2009).

DOI: 10.1016/j.mbs.2008.12.008

Google Scholar

[10] M. Hesaaraki and S.M. Moghadas, Existence of limit cycles for predator-prey systems with a class of functional responses, Ecol. Model. 142, -9. (2001).

DOI: 10.1016/s0304-3800(00)00442-7

Google Scholar