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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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Heterogeneity in modelling of mosquito populations with transgenic mosquitoes
TL;DR: In this paper, a system of difference equations in 3-dimensional space is formulated for the interacting wild and genetically-altered mosquito populations by differentiating between the homozygous and heterozygous transgenic mosquitoes.
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A mechanistic model of high dose irradiation damage
Fuaada Mohd Siam,Michael Grinfeld,Arifah Bahar,Haliza Abdul Rahman,Harith Ahmad,Farhana Johar +5 more
TL;DR: The main goal of the study is to develop a realistic mechanistic model of the effect of ionizing radiation on DNA in mammalian cells using the system of linear differential equation and observed the cell survival fractions can be well approximated by the Linear–Quadratic relation.
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On the Leslie matrices, Fibonacci sequences and population dynamics
TL;DR: In this article, an approach for establishing explicit formulas for the entries of the powers of the Leslie matrix is presented, based on the properties of linear recursive sequences and their closed relation with specific Markov chains, and the associated row-stochastic matrices.
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Two-phase Age-Structured Model of Solitarious and Gregarious Locust Population Dynamics
V. V. Akimenko,Cyril Piou +1 more
TL;DR: It is observed that the most realistic population dynamics of locusts was when the attraction point of a stable solitarianious population size was above the gregarization threshold, which means that solitarious populations may last through time only near a zero size, but as soon as environmental conditions become favorable to population increase, the gRegarization may happen.
Limit Cycles for Generalized Liénard-type and Lotka-Volterra Systems
TL;DR: In this paper, a generalized Liénard system with three limit cycles was shown to be a 3D Lotka-Volterra competitive system, and the existence and nonexistence of periodic solutions of periodic solution of general Lienard-type systems of second-order nonlinear differential systems.