Volume 16, Number 3, Fall 2008
EFFECT OF PREY-TAXIS ON THE
PERIODICITY OF PREDATOR-PREY
ASPRIHA CHAKRABORTY AND MANMOHAN SINGH
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.