Asymptotic behavior of a ratio-dependent predator-prey system withdisease in the prey

Inkyung Ahn; Wonlyul Ko; Kimun Ryu

doi:10.3934/proc.2013.2013.11

Article Contents

2013, Volume 2013: 11-19. Doi: 10.3934/proc.2013.2013.11 open access

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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
2.
Department of Mathematics Education, Cheongju University, Cheongju, Chungbuk 360-764

Received: August 31, 2012

Revised: December 31, 2012

Published: October 2013

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Abstract

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.

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Mathematics Subject Classification: 35K55, 35J60.

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References

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