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August  2004, 4(3): 501-515. doi: 10.3934/dcdsb.2004.4.501

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

Ovide Arino 1, , Manuel Delgado 2, and  Mónica Molina-Becerra 2,

1. 

UR Geodes. IRD, Centre de Bondy, 32, Av. Henri Varagnat, 93143 Bondy cedex, France
2. 

Dpto Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo de Correos 1160, 41080 Sevilla, Spain, Spain

Received  December 2002 Revised  September 2003 Published  May 2004

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.
Keywords: linearized stability principle., nonlinear semigroups, Age-dependent population.
Mathematics Subject Classification: 35B40, 45K05, 47H20, 92D3.
Citation: Ovide Arino, Manuel Delgado, Mónica Molina-Becerra. Asymptotic behavior of disease-free equilibriums of an age-structured predator-prey model with disease in the prey. Discrete & Continuous Dynamical Systems - B, 2004, 4 (3) : 501-515. doi: 10.3934/dcdsb.2004.4.501
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