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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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Book ChapterDOI
A Discrete-Time Chemostat Model
TL;DR: The purpose of the present chapter is to give a thorough mathematical analysis of this model of any number of competing populations, formulated by Gage, Williams and Horton, which showed that competitive exclusion holds for two competing microbial populations.
Journal ArticleDOI
Global solutions for a general predator-prey model with prey-stage structure and cross-diffusion
TL;DR: In this paper , a cross-diffusion predator-prey model with general functional response and stagestructure for the prey is analyzed, and the global existence of classical solutions to the system of strong coupled reactiondiffusion type is proved when the space dimension less than ten by the energy estimates and the bootstrap arguments.
Posted Content
A hybrid finite volume method for advection equations and its applications in population dynamics
Chang Yang,Léon Matar Tine +1 more
TL;DR: In this article, the authors presented a very adapted finite volume numerical scheme for transport type-equation, which is an hybrid one combining an anti-dissipative method with down-winding approach for the flux and an high accurate method as the WENO5 one.
The evolutionary stability of partial migration with Allee effects
TL;DR: It is shown that when Allee effect is incorporated, the population undergoes a bifurcation as the fraction of migrating population increases from zero to unity, and the existence of a unique evolutionary stable strategy (ESS).
Similarity of General Population Matrices and
F. Alves,Henrique M. Oliveira +1 more
TL;DR: In this paper, a similarity transformation is obtained between general population matrices models of the Usher or Lefkovitch types and a simpler model, the pseudo-Leslie model, a matrix that can be decomposed in a row matrix, which is not necessarily non-negative and a subdiagonal positive matrix.