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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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Modelling effects of rapid evolution on persistence and stability in structured predator-prey systems
TL;DR: It is proved that the coexistence stationary state in the model is stable when the saturation in the predation term is low, and it is shown that stability of the predator-prey interaction will require a selectivity of predation according to the life trait.
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Numerical schemes for studying biomathematics model inherited with memory-time and delay-time
TL;DR: The effect of inherited memory-time and delay-time in the formulation of a mathematical population growth model is considered in this paper, where two different numerical schemes are introduced to study analytically the propagation of population growth.
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Self-thinning and community persistence in a simple size-structured dynamical model of plant growth.
TL;DR: The model takes the form of a partial differential-integral equation and includes the effects of self- shading by leaves and the self-thinning exponent is obtained as a function of species characteristics and environmental conditions.
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Persistence in a discrete-time stage-structured fungal disease model
TL;DR: A discrete-time susceptible and infected (SI) epidemic model, with less than 100% vertical disease transmission, for the spread of a fungal disease in a structured amphibian host population, is analysed.
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Bogdanov–Takens bifurcation in a predator–prey model
TL;DR: In this article, a predator-prey model with age structure was investigated and it was shown that under suitable small perturbation, the system undergoes the Bogdanov-Takens bifurcation in a small neighborhood of this positive equilibrium.