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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 Index

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A bifurcation theorem for evolutionary matrix models with multiple traits

TL;DR: An evolutionary game theoretic version of a general nonlinear matrix model that includes the dynamics of a vector of mean phenotypic traits subject to natural selection is considered, and the fundamental bifurcation theorem is extended to this evolutionary model.
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Stability and Moment Boundedness of the Stochastic Linear Age-structured Model

TL;DR: In this article, the stability and moment boundedness of the solutions to the stochastic linear age-structured model with general noise were studied and sufficient conditions for boundedness and unboundedness of second moment through the supremum of the real parts of all characteristic roots.
Journal ArticleDOI

Backward bifurcation in a malaria transmission model.

TL;DR: A malaria transmission model to describe the dynamics of malaria transmission in the human and mosquito populations is proposed and a formula for the basic reproductive number of infection is derived and the existence of endemic equilibria is investigated.
Journal ArticleDOI

Assessment of 316(b) impacts on Ohio River fish populations

TL;DR: In this article, the potential 316(b) impacts on Ohio River fish populations were modeled using site specific 316 (b) data and a Leslie matrix model and the probabilistic risk that fish populations will fall below the threshold for species survival was assessed.