J Wang - Advances in Physics, 2015 - Taylor & Francis
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 …
MY Li, Z Shuai - Journal of Differential Equations, 2010 - Elsevier
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 …
D Xiao, S Ruan - SIAM Journal on Applied Mathematics, 2001 - SIAM
A predator-prey system with nonmonotonic functional response is considered. Global qualitative and bifurcation analyses are combined to determine the global dynamics of the …
F Yi, J Wei, J Shi - Journal of Differential Equations, 2009 - Elsevier
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 …
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 …
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 …