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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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Stage-structured models of intra- and inter-specific competition within age classes
TL;DR: In this article, an age-structured system incorporating competition among both larvae and adults was derived, and the system is neither cooperative nor reducible to a single equation for either variable, but results are proved for small delays using monotone systems theory and exponential ordering.
Skew-Product Dynamical Dystems: Applications to Difference Equations
Saber Elaydi,Robert J. Sacker +1 more
TL;DR: In this article, the problem of how many pairs of rabbits will there be after one year when starting with one pair of mature rabbits, if each pair of rabbits give birth to a new pair each month starting when it reaches its maturity age of two months was investigated.
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Periodic, spatially structured matrix model for the study of anchovy (Engraulis encrasicolus) population dynamics in N Aegean Sea (E. Mediterranean)
Irene Mantzouni,Stylianos Somarakis,Dimitrios K. Moutopoulos,Argyris Kallianiotis,Constantin Koutsikopoulos +4 more
TL;DR: In this paper, a periodic, spatially structured population matrix model for the study of North Aegean Sea anchovy population structure and dynamics is presented on the basis of its life-cycle, and the ecosystem environmental features.
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Multiscale Modeling of Follicular Ovulation as a Mass and Maturity Dynamical System
TL;DR: A system of nonlinear PDEs modeling the growth and maturation of ovarian follicles and the dynamics are studied using analysis and dynamical systems tools to improve the treatment of infertility or the reproduction potential in domestic species.
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Bifurcation theory, adaptive dynamics and dynamic energy budget-structured populations of iteroparous species
B. W. Kooi,J. van der Meer +1 more
TL;DR: A technique to evaluate the evolutionary dynamics of the timing of spawning for iteroparous species using a finite-dimensional set of ordinary differential equations with fixed 1-year periodic boundary conditions yielding a stroboscopic map.