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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
Citations
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Bifurcation analysis and $$\pmb {H_{\infty }}$$ control of a stochastic competition model with time delay and harvesting
Yue-Li Zhang,Jing Zhang,Xi Liu +2 more
Journal ArticleDOI
Permanence of structured population models governed by ODEs and the basic reproduction number
TL;DR: In this paper, the authors consider the dynamics of a general nonlinear structured population model governed by ordinary differential equations and show that, under a certain mild condition, the instability of the population free equilibrium point implies that the structured population survives in the sense of permanence.
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Asymptotic dynamics of age-structured host–parasitoid models
TL;DR: In this article, the authors considered the asymptotic dynamics of a host-parasitoid model and modeled the dynamics of the host and the parasitoid population by age-structured McKendrick-von Foerster equation and a delay-differential equation, respectively.
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A discrete-time mathematical model of stage-structured mosquito populations
TL;DR: In this paper, the authors proposed a system of difference equations to model the population of the mosquito, which consists of four distinct metamorphic stages: eggs, larvae, pupae, and adults.
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A numerical study on the estimation of the stable size distribution for a cell population balance model
TL;DR: In this article, a second order numerical method based on the integration along the characteristic curves over the natural grid is proposed to estimate the stable size distribution for a size-structured balance model with an asymmetric division rate.