Bull. Korean Math. Soc. 2013; 50(6): 1847-1854
Printed November 1, 2013
https://doi.org/10.4134/BKMS.2013.50.6.1847
Copyright © The Korean Mathematical Society.
Jun Zhou
Southwest University
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
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