Positive periodic solutions of a Hassell-Varley type predator-prey system

Wonlyul Ko () and Kimun Ryu ()
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Wonlyul Ko: Korea University
Kimun Ryu: Cheongju University

Indian Journal of Pure and Applied Mathematics, 2013, vol. 44, issue 6, 865-882

Abstract: Abstract We study the existence and asymptotic behavior of positive periodic solutions of diffusive Hassell-Varley type predator-prey systems with time periodic and spatially dependent coefficients. The fixed point index theory is used to obtain necessary and sufficient conditions for the existence of positive time periodic solution. Finally, we extend the existence results to the associated elliptic models.

Keywords: Index theory; periodic solution; Hassell-Varley type (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s13226-013-0047-2

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