Life is characterized by a myriad of complex dynamic processes allowing organisms to grow,
reproduce, and evolve. Physical approaches for describing systems out of thermodynamic …

We present a review of the recently developed landscape and flux theory for non-equilibrium
dynamical systems. We point out that the global natures of the associated dynamics for non …

The global-stability problem of equilibria is investigated for coupled systems of differential
equations on networks. Using results from graph theory, we develop a systematic approach …

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 predator-prey system with nonmonotonic functional response is considered. Global
qualitative and bifurcation analyses are combined to determine the global dynamics of the …

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 …

When assuming the task of preparing a book such as this, one inevitably wonders why
anyone would want to read it. I have always sympathized with Charles Elton's trenchant …

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 …