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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
Citations
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Journal ArticleDOI
Type II functional response for continuous, physiologically structured models
TL;DR: A general Holling-type functional, or behavioral, response for continuous physiologically structured populations, where both the predator and the prey have physiological densities and certain rules apply to their interactions.
Book ChapterDOI
Optimal Harvesting of Size-Structured Biological Populations
TL;DR: In this paper, the authors apply non-linear programming to the problem of estimating the maximum sustainable yield (MSY) steady states in a population model with an age-structured population model.
On the coevolution of life and its environment.
TL;DR: The theory of adaptive dynamics is currently applied to DEB-structured theoretical ecosystems to understand the process of self-organisation at an evolutionary time scale, emphasising the syntrophic interactions between species of organism, which are characteristic for life.
Journal ArticleDOI
Codimension one and two bifurcations of a discrete stage-structured population model with self-limitation
Limin Zhang,Chaofeng Zhang +1 more
TL;DR: In this article, the bifurcations of a discrete stage-structured population model with self-limitation between the two subgroups are investigated, and all possible codimension-one bifurbation structures are explored.
Journal ArticleDOI
Sensitivity and elasticity analysis of a Lur’e system used to model a population subject to density-dependent reproduction
Eric Alan Eager,Richard Rebarber +1 more
TL;DR: This paper derives sensitivity and elasticity formulas for the equilibrium population n* of a structured population modeled by a Lur'e system, which consists of a linear system plus a nonlinearity modeling density-dependent fecundity.