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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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Discrete May–Leonard Competition Models III
TL;DR: A discretization method attributed to Kahan is used to approximate the May–Leonard (M–L) competition model for three species and it is shown that the discrete M–L model has a degenerate Hopf-bifurcation, which is consistent with the continuous M-L model.
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Phase switching in population cycles
TL;DR: In this paper, phase shifts correspond to stochastic jumps between basins of attraction in an appropriate phase space which associates the different phases of a periodic cycle with distinct attractors, which accounts for two-cycle phase shifts and the occurrence of asynchronous replicates in experimental cultures of Tribolium.
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Backward bifurcation and control in transmission dynamics of arboviral diseases
TL;DR: A compartmental model for the control of arboviral diseases which takes into account an imperfect vaccine combined with individual protection and some vector control strategies is derived and it is proved that the trivial equilibrium is globally asymptotically stable.
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Single-class orbits in nonlinear Leslie matrix models for semelparous populations.
Ryusuke Kon,Yoh Iwasa +1 more
TL;DR: The dynamics of a general nonlinear Leslie matrix model for a semelparous population is investigated, especially concerned with the attractivity of the single-class state, in which all but one cohort (or year-class) are missing.
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On a possible origin of the fat-tailed dispersal in population dynamics
TL;DR: This paper showed that the Gaussian large-distance asymptotics is more an artefact of an oversimplified description of the dispersing population rather than an immanent property of the random walk diffusion.