Convergent activation dynamics in continuous time networks

MW Hirsch - Neural networks, 1989 - Elsevier
The activation dynamics of nets are considered from a rigorous mathematical point of view.
A net is identified with the dynamical system defined by a continuously differentiable vector …

Eco‐evolutionary maintenance of diversity in fluctuating environments

M Yamamichi, AD Letten, SJ Schreiber - Ecology Letters, 2023 - Wiley Online Library
Growing evidence suggests that temporally fluctuating environments are important in
maintaining variation both within and between species. To date, however, studies of genetic …

[图书][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 …

[图书][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 …

[图书][B] Nonlinear dynamics of interacting populations

AD Bazykin - 1998 - World Scientific
In this chapter we study models for the growth of a single population. Some of these models
will be used in the sequel as constituents for models of interacting popula tions …

Global stability for a class of predator-prey systems

SB Hsu, TW Huang - SIAM Journal on Applied Mathematics, 1995 - SIAM
[ ( hy)] Page 1 SIAM J. APPL. MATH. Vol. 55,No. pp. 763--783, June 1995 1995 Society for
Industrial and Applied Mathematics 011 GLOBAL STABILITY FOR A CLASS OF PREDATOR-PREY …

Persistence in models of three interacting predator-prey populations

HI Freedman, P Waltman - Mathematical biosciences, 1984 - Elsevier
This paper considers a class of deterministic models of three interacting populations with a
view towards determining when all of the populations persist. In analytical terms persistence …

[图书][B] Ecological dynamics

W Gurney, RM Nisbet - 1998 - pureportal.strath.ac.uk
Ecological Dynamics is unique in that it can serve both as an introductory text in numerous
ecology courses and as a resource for more advanced work. It provides a flexible …

Predator–prey system with strong Allee effect in prey

J Wang, J Shi, J Wei - Journal of Mathematical Biology, 2011 - Springer
Global bifurcation analysis of a class of general predator–prey models with a strong Allee
effect in prey population is given in details. We show the existence of a point-to-point …

[图书][B] Analysis of evolutionary processes: the adaptive dynamics approach and its applications: the adaptive dynamics approach and its applications

F Dercole, S Rinaldi - 2008 - degruyter.com
Quantitative approaches to evolutionary biology traditionally consider evolutionary change
in isolation from an important pressure in natural selection: the demography of coevolving …