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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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Proceedings ArticleDOI
Some Discrete Competition Models and the Principle of Competitive Exclusion
Jim M. Cushing,Sheree Levarge +1 more
TL;DR: In this article, the competitive exclusion principle of the Lotka/Volterra model was used in conjunction with the Leslie/Gower model in the first half of the last century for a competition for species of Tribolium (flour beetles).
Journal ArticleDOI
Steady states in hierarchical structured populations with distributed states at birth
Jozsef Zoltan Farkas,Peter Hinow +1 more
TL;DR: In this article, the authors investigate steady states of a quasi-linearinear first order hyperbolic partial integro-differential equation, which describes the evolution of a hierarchical structured population with distributed states at birth.
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Modeling the infection dynamics of onchocerciasis and its treatment
TL;DR: The study results suggest that the mass treatment of the disease with ivermectin should cover a higher proportion of the population to control the disease and eventually eliminate it from the population.
Journal ArticleDOI
A Matter of Maturity: To Delay or Not to Delay? Continuous-Time Compartmental Models of Structured Populations in the Literature 2000–2016
TL;DR: In the literature, many structured compartmental models, posed as ordinary differential equations, omit the maturation delay as mentioned in this paper, which is an inherent time delay, set by the census time step chosen by the modeler.
Journal ArticleDOI
Normal Forms for an Age Structured Model
TL;DR: In this article, the Taylor's expansion of the reduced system on the center manifold is used to determine the direction of the Hopf bifurcation and the stability and amplitude of the periodic solutions.