Non-Turing pattern formation in a modified Leslie-Gower predator-prey system with Beddington-DeAngelis functional response

摘要

In this paper a modified Leslie-Gower predator-prey system with Beddington-DeAngelis functional response under homogeneous Neumann boundary condition is considered. The prey and predator species are assumed to have equal diffusion coefficient. The possibility of non-Turing spatio-temporal patterns is explored. The ratio of two intrinsic growth rates is considered as a control parameter. Regular spatio-temporal oscillatory patterns as well as non-stationary irregular patterns are obtained. The numerical simulations reveal the dependence of the patterns on the choice of initial distribution and reaction parametric values.