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2013, 2013(special): 11-19. doi: 10.3934/proc.2013.2013.11

## Asymptotic behavior of a ratio-dependent predator-prey system with disease in the prey

 1 Department of Information and Mathematics, Korea University, Jochiwon 339-700, South Korea, South Korea 2 Department of Mathematics Education, Cheongju University, Cheongju, Chungbuk 360-764, South Korea

Received  September 2012 Revised  January 2013 Published  November 2013

In this paper, we consider a ratio-dependent predator-prey model with disease in the prey under Neumann boundary condition. we construct a global attractor region for all time-dependent non-negative solutions of the system and investigate the asymptotic behavior of positive constant solution. Furthermore, we also study the asymptotic behavior of the non-negative equilibria.
Citation: Inkyung Ahn, Wonlyul Ko, Kimun Ryu. Asymptotic behavior of a ratio-dependent predator-prey system with disease in the prey. Conference Publications, 2013, 2013 (special) : 11-19. doi: 10.3934/proc.2013.2013.11
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