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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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A convergent numerical scheme to a McKendrick–von Foerster equation with diffusion
TL;DR: In this paper , a numerical scheme for a nonlinear McKendrick-von Foerster equation with diffusion in age with the Dirichlet boundary condition, and the Robin boundary condition are proposed.
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Using a Density Dependent Population Model to Examine Sperm Whale Population Dynamics in the Gulf of Mexico Before and After an Environmental Disturbance
TL;DR: The recovery time of a sperm whale population following a disturbance is examined, which is found to be the length of time it takes the population to return to a certain percentage of its asymptotic equilibrium value.
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The Fractionalization of Modified Logistic Equation to Predict the Growth of Microalgae Botryococcus sp.
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On the weak solutions of the McKendrick equation: Existence of demography cycles
Rui Dilão,Abdelkader Lakmeche +1 more
TL;DR: The qualitative theory of the solutions of the McKendrick partial differential equation of population dynamics and of the Lotka renewal integral equation with time and age dependent birth rate are developed.