Applied/ACMS/absS11: Difference between revisions
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{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20" | {| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20" | ||
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| bgcolor="#DDDDDD" align="center"| ''' | | bgcolor="#DDDDDD" align="center"| '''Analysis of a size-structured cannibalism model with infinite dimensional environmental feedback | ||
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First I will give a brief introduction to structured population | |||
dynamics. Then I will consider a size-structured cannibalism model with | |||
the model ingredients depending on size (ranging over an infinite domain) | |||
and on a general function of the standing population (environmental | |||
feedback). Our focus is on the asymptotic behavior of the | |||
system. We show how the point spectrum of the linearised semigroup | |||
generator can be characterized in the special case of a separable attack | |||
rate and establish a general instability result. | |||
Further spectral analysis allows us to give conditions for | |||
asynchronous exponential growth of the linear semigroup. | |||
|} | |} | ||
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Revision as of 02:25, 10 January 2011
József Farkas, University of Stirling, Scotland
| Analysis of a size-structured cannibalism model with infinite dimensional environmental feedback
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First I will give a brief introduction to structured population dynamics. Then I will consider a size-structured cannibalism model with the model ingredients depending on size (ranging over an infinite domain) and on a general function of the standing population (environmental feedback). Our focus is on the asymptotic behavior of the system. We show how the point spectrum of the linearised semigroup generator can be characterized in the special case of a separable attack rate and establish a general instability result. Further spectral analysis allows us to give conditions for asynchronous exponential growth of the linear semigroup. |
Tim Reluga, Penn State University
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Ellen Zweibel, UW-Madison (Astronomy)
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Vageli Coutsias, University of New Mexico
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