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 Global asymptotic stability of positive steady states of an $n$-dimensional ratio-dependent predator-prey system with diffusion Bull. Korean Math. Soc. 2013 Vol. 50, No. 6, 1847-1854 https://doi.org/10.4134/BKMS.2013.50.6.1847Published online November 1, 2013 Jun Zhou Southwest University Abstract : The main concern of this paper is to study the dynamics of an $n$-dimensional ratio-dependent predator-prey system with diffusion. We study the dissipativeness, persistence of the system and it is shown that the unique positive constant steady state is globally asymptotically stable under some assumptions. Keywords : ratio-dependent response function, global asymptotic stability, iteration method MSC numbers : 35K57, 92D25 Downloads: Full-text PDF