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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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Using Mathematical Models to Investigate Phenotypic Oscillations in Cichlid Fish: A Case of Frequency-dependent Selection
TL;DR: The existence and uniqueness of a positive equilibrium, which corresponds to a 1 : 1 phenotypic ratio, is proved, and it is shown that the equilibrium becomes unstable when frequency-dependent selection is sufficiently strong.
Journal Article
A time discrete linear model of an age and time of residence structured population in a patchy environment
TL;DR: A multiregional Leslie matrix population model for an age-structured population in a heterogeneous environment of patches connected by migrations to take into account the time of residence of individuals in the patches is presented.
Journal ArticleDOI
Examining the effect of reoccurring disturbances on population persistence with application to marine mammals.
TL;DR: A two-state Markov chain model to describe the effect of reoccurring disturbances on a population that is modeled by discrete-time matrix model shows that the probability of extinction can dramatically increase when disturbance frequency increases but is not greatly impacted by the assumption that all disturbances have the same magnitude.
Journal ArticleDOI
Ergodicity beyond asymptotically autonomous linear difference equations
Mihály Pituk,Christian Pötzsche +1 more
TL;DR: A generalization of the previous results is presented by showing that the nonnegative solutions satisfy a similar ergodic property also in some cases when the coefficient matrices are not asymptotically constant.
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Within-host bacterial growth dynamics with both mutation and horizontal gene transfer
TL;DR: A generic model is analyzed to rigorously describe interactions dynamics of four bacterial strains: one fully sensitive to the drug, one with mutational resistance only, two with plasmidic resistanceonly, and one with both resistances.