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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 Index

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Citations
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Explaining "Noise" as Environmental Variations in Population Dynamics

TL;DR: By integrating a population dynamic model with models of contaminant/stressor fate and transport and biological organism movement, researchers can capture the impact of spatial and temporal heterogeneity on population dynamics, and ultimately develop and implement improved management decisions and policies.
Journal ArticleDOI

Structured populations with distributed recruitment: from PDE to delay formulation

TL;DR: In this paper, the equivalence of the steady state problems in the two different formulations of the partial integro-differential and delayed integral equations was investigated, and it was shown that any non-negative solution of the delayed integral equation determines a (non-negative) solution to the partial differential equation and vice versa.
Journal ArticleDOI

Efficiency against the Two-spotted spider mite Tetranychus urticae and prey-age-related choice of three predatory mites

TL;DR: The results suggest that the generalist A. swirskii, but not I. degenerans, may be efficient in regulating prey populations through egg consumption, and represents an alternative to the effective specialist predator.
Journal Article

Age-structured population models with Applications

Min Gao
TL;DR: In this paper, a general model of age-structured population dynamics is developed and the fundamental properties of its solutions are analyzed, and an intrinsic growth constant is obtained and linked to the existence and the stability of the trivial and/or the positive equilibrium.