Asymptotic behavior of disease-free equilibriums of an age-structured predator-prey model with disease in the prey

Ovide Arino; Manuel Delgado; Mónica Molina-Becerra

doi:10.3934/dcdsb.2004.4.501

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2004, Volume 4, Issue 3: 501-515. Doi: 10.3934/dcdsb.2004.4.501

This issue Previous Article Next Article A stochastic model for the dynamics of a stage structured population

Asymptotic behavior of disease-free equilibriums of an age-structured predator-prey model with disease in the prey

1.
UR Geodes. IRD, Centre de Bondy, 32, Av. Henri Varagnat, 93143 Bondy cedex
2.
Dpto Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo de Correos 1160, 41080 Sevilla

Received: November 30, 2002

Revised: August 31, 2003

Published: July 2005

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Abstract

Local stability and instability of the disease-free equilibriums of an age-structured predator-prey model with disease in the prey is examined. The basic idea is to apply the linearized stability principle and the theory of semigroups.

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Mathematics Subject Classification: 35B40, 45K05, 47H20, 92D30.

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Asymptotic behavior of disease-free equilibriums of an age-structured predator-prey model with disease in the prey

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