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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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Journal ArticleDOI

Analysis of an Age-structured SIL model with demographics process and vertical transmission

TL;DR: A mathematical SIL model for the spread of a directly transmitted infectious disease in an age-structured population; taking into account the demographic process and the vertical transmission of the disease is considered.
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Asymptotic behaviour of a semilinear age-structured population model with a dynamics for the resource

TL;DR: In this paper, a semilinear equation is considered for an age-structured population model with two groups, juveniles and adults, and with a dynamics for the resource, where death rates of young and adults are assumed to be decreasing functions of the amount of available resources.
Journal ArticleDOI

Bounds on the dynamics of sink populations with noisy immigration.

TL;DR: This work appeals to a systems and control framework to place upper and lower bounds on both the transient and future dynamics of sink populations that are subject to noisy immigration.
Journal ArticleDOI

Hopf bifurcation of an infection-age structured eco-epidemiological model with saturation incidence

TL;DR: In this paper, a novel infection-age structured eco-epidemiological model with saturation incidence is constructed, which is regarded as an abstract non-densely defined Cauchy problem and the condition of the existence of the interior equilibrium is derived.