Discrete-time dynamics of structured populations and homogeneous order-preserving operators /
A fundamental question in the theory of discrete and continuous-time population models concerns the conditions for the extinction or persistence of populations, a question that is addressed mathematically by persistence theory. For some time, it has been recognized that if the dynamics of a structur...
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| Format: | Book |
| Language: | English |
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Providence, Rhode Island :
American Mathematical Society,
[2024].
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| Series: | Mathematical surveys and monographs ;
no. 281. |
| Subjects: |
Table of Contents:
- Cones and ordered vector spaces
- The ordered vector spaces of real measures
- Homogeneous operators
- Spectral radii for homogeneous operators
- Order-bounded operators
- Upper semicontinuity of spectral radii
- A left resolvent for homogeneous operators
- Eigenvectors of (pseudo-) compact homogeneous operators
- Continuity of the spectral radius
- Eigenfunctionals
- Turnover versus reproduction number
- Linear maps on the vector space of measures
- Nonlinear dynamics
- Unstructured population models
- A rank-structured population with mating
- Two diffusing sexes and short reproduction season
- Nonlocal spatial spread of semelparous two-sex populations
- Populations with measure-valued structural distributions.