IJPAM: Volume 45, No. 4 (2008)

SWITCHING OF PREDATION ON PREY SPECIES IN
THE PRESENCE OF PREDATOR INTERFERENCE

B.S. Bhatt$^1$, D.R. Owen$^2$, R.P. Jaju$^3$
$^{1,2}$Department of Mathematics and Computer Science
Faculty of Science and Agriculture
University of West Indies
St. Augustine, Trinidad and Tobago (West India), INDIA
$^1$e-mails: bbhatt@fsa.uwi.tt and dowen@carib-link.net
$^2$e-mail: dowen@carib-link.net
$^3$Department of Computer Science
University of Swaziland
P/B 4, Kwaluseni, KINGDOM OF SWAZILAND
e-mail: jajurp@science.uniswa.sz


Abstract.The present paper is an extension of previous work by the authors on a two prey-one predator habitats system where the prey species can move freely within the habitats and the predator can switch to the habitat with most abundant species. In this paper, predation has been studied in the presence of predator interference. The stability analysis has been carried out for non-zero equilibrium values. Conversion rate of the prey to predator has been taken as a bifurcation parameter and for select data sets, bifurcation points have been found. Interestingly, contrary to the earlier work, all the three types of situations, namely no bifurcation, single and multiple bifurcations exist.

Received: April 18, 2008

AMS Subject Classification: 92D25

Key Words and Phrases: prey, predator interference, switching, multiple bifurcation points, stability, differential equations

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 45
Issue: 4