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 …

In this paper we survey the construction of Lyapunov functions (or functional) for various
ecological models which take the form of ODE systems (or Reaction-Diffusion PDE systems) …

Every form of behaviour is shaped by trial and error. Such stepwise adaptation can occur
through individual learning or through natural selection, the basis of evolution. Since the …

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 …

A diffusive predator–prey system with Holling type-II predator functional response subject to
Neumann boundary conditions is considered. Hopf and steady state bifurcation analysis are …

[ ( 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 …

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 …

Uniformly Persistent Systems Page 1 PROCEEDINGS OF THE AMERICAN MATHEMATICAL
SOCIETY Volume 96, Number 3, March 1986 UNIFORMLY PERSISTENT SYSTEMS …

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 …

Every mathematician has a particular way of thinking about mathematics, but rarely makes it
explicit. Yet such perspectives, in any particular field, can be of great value to nonexperts …