Chaos in ecology: is mother nature a strange attractor?

A Hastings, CL Hom, S Ellner, P Turchin… - Annual review of ecology …, 1993‏ - JSTOR
We review the role of chaos and the study of chaos in ecology. We use sensitive
dependence on initial conditions as the best heuristic definition of chaos. This definition …

Noisy clockwork: time series analysis of population fluctuations in animals

ON Bjørnstad, BT Grenfell - Science, 2001‏ - science.org
Both biotic interactions and abiotic random forcing are crucial influences on population
dynamics. This frequently leads to roughly equal importance of deterministic and stochastic …

[كتاب][B] Mathematical biology: I. An introduction

JD Murray - 2007‏ - books.google.com
It has been over a decade since the release of the now classic original edition of Murray's
Mathematical Biology. Since then mathematical biology has grown at an astonishing rate …

[كتاب][B] Introduction to functional differential equations

JK Hale, SMV Lunel - 2013‏ - books.google.com
The present book builds upon an earlier work of J. Hale," Theory of Func tional Differential
Equations" published in 1977. We have tried to maintain the spirit of that book and have …

[كتاب][B] Delay differential equations

Y Kuang - 1993‏ - degruyter.com
All processes take time to complete. While physical processes such as acceleration and
deceleration take little time compared to the times needed to travel most distances, the times …

[كتاب][B] Mathematical models in population biology and epidemiology

F Brauer, C Castillo-Chavez, C Castillo-Chavez - 2012‏ - Springer
Up to now in our study of continuous population models we have been assuming that x (t),
the growth rate of population size at time t, depends only on x (t), the population size at the …

[كتاب][B] Elements of mathematical ecology

M Kot - 2001‏ - books.google.com
Elements of Mathematical Ecology provides an introduction to classical and modern
mathematical models, methods, and issues in population ecology. The first part of the book …

[كتاب][B] Dynamical systems in population biology

XQ Zhao - 2003‏ - Springer
Population dynamics is an important subject in mathematical biology. A central problem is to
study the long-term behavior of modeling systems. Most of these systems are governed by …

[كتاب][B] Global behavior of nonlinear difference equations of higher order with applications

VL Kocic, G Ladas - 1993‏ - books.google.com
Nonlinear difference equations of order greater than one are of paramount impor tance in
applications where the (n+ 1) st generation (or state) of the system depends on the previous …

Constructing summary statistics for approximate Bayesian computation: semi-automatic approximate Bayesian computation

P Fearnhead, D Prangle - … of the Royal Statistical Society Series …, 2012‏ - academic.oup.com
Many modern statistical applications involve inference for complex stochastic models, where
it is easy to simulate from the models, but impossible to calculate likelihoods. Approximate …