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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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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
Àngel Calsina,O. El Idrissi +1 more
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.
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Bounds on the dynamics of sink populations with noisy immigration.
Eric Alan Eager,Christopher Guiver,David J. Hodgson,Richard Rebarber,Iain Stott,Stuart Townley +5 more
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.
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Hopf bifurcation of an infection-age structured eco-epidemiological model with saturation incidence
Peng Yang,Yuanshi Wang +1 more
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.