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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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Journal ArticleDOI
Inverse problem for a physiologically structured population model with variable-effort harvesting
TL;DR: In this article, the inverse problem of determining how the physiological structure of a harvested population evolves in time, and of finding the time-dependent effort to be expended in harvesting, so that the weighted integral of the density, which may be, for example, the total number of individuals or the total biomass, has prescribed dynamics is considered.
DissertationDOI
Global Dynamics and Boundedness of Discrete Population Models
TL;DR: In this paper, the dynamics of a host-parasite type of prey-predator interaction were analyzed for three different population models and the global behavior of the system in these cases was fully characterized.
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Amplification of the Net Reproductive Number by Dispersion for a Matrix Population Model Applicable to the Invasive Round Goby Fish
TL;DR: A general matrix population model is developed that is applicable to the population dynamics of the invasive round goby fish that incorporates both stage structure---larvae, juveniles, and adults---and dispersion and whether or not dispersion can amplify the net reproductive number is addressed.
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Similarity of general population matrices and pseudo-Leslie matrices
TL;DR: A similarity transformation is obtained between general population matrices models of the Usher or Lefkovitch types and a simpler model, the pseudoLeslie model, which has computational advantages, since the solutions of the iterative problem using Leslie matrices are readily obtained.
Second-order numerical integration of a size-structured cell population model with equal fission
TL;DR: A second-order numerical method, based on the integration along the characteristic curves, is presented for the approximation of the solution to a population model describing the evolution of a size-structured cell population with equal fission.