Open AccessBook
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
Hopf bifurcation for a size structured model with resting phase
Pierre Magal,Jixun Chu +1 more
TL;DR: In this paper, the authors investigated Hopf bifurcation for a size-structured population dynamic model that is designed to describe size dispersion among individuals in a given population.
Journal ArticleDOI
Local and global Hopf bifurcation in a neutral population model with age structure
Daifeng Duan,Ben Niu,Junjie Wei +2 more
Journal ArticleDOI
A global bifurcation theorem for Darwinian matrix models
TL;DR: In this article, a general class of nonlinear difference equations called matrix models are studied and the global existence of a continuum with positive equilibria that bifurcates from an extinction equilibrium at a value of a model parameter at which the extinction equilibrium destabilizes is established.
Journal ArticleDOI
Harvesting in a resource dependent age structured Leslie type population model
TL;DR: It is shown that the harvesting yield can be periodic, quasi-periodic or chaotic, depending on the dynamics of the harvested population, and that the magnitude of proportional harvest depends on the resources available to the population.
Dissertation
Mathematical Methods for Modelling Biological Heterogeneity
TL;DR: It is found that spatial dynamics fuel tumour heterogeneity, contributing to resistance to treatment accordingly with the proliferative status of cancer cells, and that biological systems will conserve sexually selected traits even in the event where this leads to an overall population decrease, contrary to natural selection.