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Effect of prey-taxis on the periodicity of predator-prey dynamics (2008)

Abstract
The aim of this paper is to observe the effect of prey-taxis on the periodicity of predator-prey dynamics. The logistic Lotka-Volterra predator-prey-taxis equations with diffusion and advection are solved numerically using two different response functions with two data sets and two nonhomogeneous initial conditions. We show that for different values of prey-taxis it is possible to achieve periodic, quasi-periodic and chaotic nature of solutions in a predator-prey system.

Publication details
Download http://hdl.handle.net/1959.3/68767
Publisher Applied Mathematics Institute, University of Alberta
Repository ARROW Discovery Service (Australia)
Keywords Chaos, Periodicity, Predator-prey dynamics, Prey-taxis, Applied Mathematics (0102)
Type journal article
Language english
Relation http://www.math.ualberta.ca/ami/camq.html