Dynamics of a predator–prey model in a habitat with cover

Kamil Trojan and Andrzej Pȩkalski

Physica A: Statistical Mechanics and its Applications, 2003, vol. 330, issue 1, 130-138

Abstract: We extend the model introduced earlier (Phys. Rev. E 63 (2001) 051909) and show, via Monte Carlo simulations that the observed oscillations of the densities of predator and prey are correlated if the concentration of cover for prey is not too large. We demonstrate also that although at small concentrations the existence of cover is beneficial for both species, increasing it leads to extinction, first of the predators and then of the prey. This we connect to the abrupt formation, at large concentrations of cover, of very large clusters of sites where neither species can feed or breed. We also show that the distribution of such quantities as density of predators and prey or food reserves follow, as is generally assumed, normal distribution.

Keywords: Evolution; Monte Carlo simulations; Predator–prey systems (search for similar items in EconPapers)
Date: 2003
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437103006800
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:330:y:2003:i:1:p:130-138

DOI: 10.1016/j.physa.2003.08.009

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().