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An introduction to structured population dynamics
TLDR
In this paper, the authors present a case study of multispecies interactions with continuous models of age-structured models and show that these models can be used in a variety of applications.Abstract:
Preface 1 Discrete Models Matrix Models Autonomous Single Species Models Some Applications A Case Study Multispecies Interactions 2 Continuous Models Age-Structured Models Autonomous Age-Structured Models Some Applications Multispecies Interactions Other Structured Models 3 Population Level Dynamics Ergodicity and Nonlinear Models The Linear Chain Trick Hierarchical Models Total Population Size in Age-Structured Models Appendix A Stability Theory for Maps Linear Maps Linearization of Maps Appendix B Bifurcation Theorems A Global Bifurcation Theorem Local Parameterization Appendix C Miscellaneous Proofs Bibliography Indexread more
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Journal ArticleDOI
Model-Based Feedforward Control of an Intra- and Interspecific Competitive Population System
TL;DR: In this paper , a model inversion is used to control the two different outputs, which are a weighted integral over the population density, which results in a restriction in the choice of reference trajectories due to the undercount of inputs.
Journal ArticleDOI
Modélisation d'une population de mérous, effets du braconnage et de la migration
Slimane Ben Miled,Amira Kebir +1 more
TL;DR: In this paper, the authors model the dynamique of a population de merous dans un territoire de peche d'une cote marine, en tenant compte a la fois de la croissance naturelle, de la peche et des migrations.
Peer Review
Population growth in discrete time: a renewal equation oriented survey
TL;DR: In this article , the renewal equation for the births is used to characterize the asymptotic large-time behavior of structured population models and the relationship between the two bookkeeping schemes is discussed.
Journal ArticleDOI
Modeling the invasion and establishment of a tick-borne pathogen
Azmy S. Ackleh,Amy Veprauskas +1 more
TL;DR: In this article , a discrete-time tick-host-pathogen model was developed to describe the spread of a disease in a hard-bodied tick species, incorporating the developmental stages for a tick, the dependence of the tick life-cycle and disease transmission on host availability, and three sources of pathogen transmission.
Book ChapterDOI
A Note on Ergodicity for Nonautonomous Linear Difference Equations
TL;DR: For a class of nonautonomous linear difference equations with bounded, nonnegative and uniformly primitive coefficients, it was shown in this article that the normalized positive solutions are asymptotically equivalent to the Perron vectors of the transition matrix at infinity.