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
More filters
Journal ArticleDOI
Biological mechanisms of coexistence for a family of age structured population models
TL;DR: The relationship of existence of stable solutions, mathematical equivalent to coexistence, with biological mechanisms such as intraspecific competition, selective predation and cannibalism among predators is analyzed.
Posted Content
Semigroup analysis of structured populations with distributed states-at-birth arising in mathematical aquaculture
TL;DR: In this paper, the authors considered a population model with distributed states-at-birth and formulated conditions that the linearised system is governed by a positive quasicontraction semigroup on the biologically relevant state space.
Book ChapterDOI
Modeling the Argasid Tick (Ornithodoros moubata) Life Cycle
Sara M. Clifton,Courtney L. Davis,Samantha Erwin,Gabriela Hamerlinck,Amy Veprauskas,Yangyang Wang,Wenjing Zhang,Holly Gaff +7 more
TL;DR: The first mathematical models for an argasid tick are developed to explore the dynamics and identify knowledge gaps of these poorly studied ticks, and provide the basis for developing future models that include disease states to explore infection dynamics and possible management of ASF.