Journal ArticleDOI
Stability of an age specific population with density dependent fertility
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TLDR
A nonlinear version of the Lotka-Sharpe model of population growth is considered in which the age specific fertility is a function of the population size, and the stability of an equilibrium population distribution is investigated with respect to both global and local perturbations.About:
This article is published in Theoretical Population Biology.The article was published on 1976-08-01. It has received 45 citations till now. The article focuses on the topics: Population & Population size.read more
Citations
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Evolution in age-structured populations
TL;DR: This chapter discusses the development of models of age-structured populations and the properties of equilibrium populations and their role in the evolution of life-histories.
Journal ArticleDOI
A new view of life-history evolution
Stephen C. Stearns,S. C. Stearns +1 more
TL;DR: Training in quantitative genetics, development, and physiology is just as necessary for the study of life-history evolution as is training in demography and population genetics.
Journal ArticleDOI
Ergodic theorems in demography
TL;DR: The strong and weak ergodic theorems of demography as mentioned in this paper describe the properties of a product of certain nonnegative matrices, in the limit as the number of matrix factors in the product becomes large.
Journal ArticleDOI
The influence of spatially and temporally varying oceanographic conditions on meroplanktonic metapopulations
Louis W. Botsford,Coleen L. Moloney,Alan Hastings,John L. Largier,Thomas M. Powell,Kevin Higgins,James F. Quinn +6 more
TL;DR: It is concluded that understanding the dynamics of coastally distributed metapopulations in response to physically-induced variability in larval dispersal will be a critical step in assessing the effects of climate change on marine populations.
Journal ArticleDOI
A predator prey model with age structure.
Jim M. Cushing,Muhammad Saleem +1 more
TL;DR: For a broad class of maturation functions positive equilibria are either unstable for smallm or are destabilized asm decreases to zero, in contrast to the usual rule of thumb that increasing (not decreasing) delays in growth rate responses cause instabilities.
References
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Partial Differential Equations
TL;DR: In this paper, the authors present a theory for linear PDEs: Sobolev spaces Second-order elliptic equations Linear evolution equations, Hamilton-Jacobi equations and systems of conservation laws.
Journal ArticleDOI
Non-linear age-dependent population dynamics
TL;DR: In this paper, the Malthusian law is shown to be inapplicable to situations in which the population competes for resources (e.g., space and food), for in these situations 5 should depend on the size of the population.
Journal ArticleDOI
Biological populations obeying difference equations: stable points, stable cycles, and chaos.
TL;DR: The corresponding simplest difference equations, with their built-in time lag in the operation of regulatory mechanisms, can have a complicated dynamical structure, the great richness of which is not commonly appreciated either in the ecological literature, or in elementary mathematical analysis.
Book ChapterDOI
A Problem in Age-Distribution
F. R. Sharpe,Alfred J. Lotka +1 more
TL;DR: In this paper, it was shown that there must be a limiting "stable" type about which the actual distribution varies, and towards which it tends to return if through any agency disturbed therefrom.