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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
Backward bifurcations and strong Allee effects in matrix models for the dynamics of structured populations
TL;DR: Criteria sufficient for a strong Allee effect to occur in a general nonlinear matrix model is given and a juvenile–adult example model illustrates the criteria as well as some other possible phenomena concerning strong Allees.
Numerical studies for solving fractional-order logistic equation
TL;DR: In this paper, the authors have applied the concepts of fractional calculus to the well known population growth model in chaotic dynamic, and the result is generalized of the classical population growth models to arbitrary order.
Book ChapterDOI
Simple Models for the Transmission of Microparasites Between Host Populations Living on Noncoincident Spatial Domains
TL;DR: A simple deterministic mathe- matical approach to modeling the transmission of microparasites between two host populations living on distinct spatial domains is provided and the existence and stability of endemic states are analyzed.
Journal ArticleDOI
Differential equations models for interacting wild and transgenic mosquito populations.
TL;DR: The focus is on the model with the Holling-II-type functional mating rate that incorporates Allee effects, in order to account for mating difficulty when the size of the total mosquito populations is small, and the existence and stability of both boundary and positive equilibria.
Journal ArticleDOI
Spatial patterns in a discrete-time SIS patch model.
TL;DR: A discrete-time SIS patch model is formulated and analyzed and sufficient conditions for the limiting DFE to be empty on other high-risk patches are given in terms of disease transmission and recovery rates, habitat connectivity, and the infected movement rate.