Local stability implies global stability for the 2-dimensional Ricker map
نویسندگان
چکیده
منابع مشابه
Local Stability Implies Global Stability in Some One-dimensional Discrete Single-species Models
We prove a criterion for the global stability of the positive equilibrium in discrete-time single-species population models of the form xn+1 = xnF (xn). This allows us to demonstrate analytically (and easily) the conjecture that local stability implies global stability in some well-known models, including the Ricker difference equation and a combination of the models by Hassel and Maynard Smith...
متن کاملStability Analysis of Stochastic Ricker Population Model
A stochastic generalization of the Ricker discrete population model is studied under the assumption that noise impacts the population reproduction rate. The obtained results demonstrate that the demographic-type stochastic noise increases the risk of the population extinction. In particular, the paper establishes conditions on the noise intensity under which the population will extinct even if ...
متن کاملLocal and Global Stability of the Universe
We prove, by a general relativistic derivation, that the Universe is locally and globally, stable, resembling an extreme Kerr-white-hole—Universe.
متن کاملGlobal stability, local stability and permanence in model food webs.
The dynamical theory of food webs has been based typically on local stability analysis. The relevance of local stability to food web properties has been questioned because local stability holds only in the immediate vicinity of the equilibrium and provides no information about the size of the basin of attraction. Local stability does not guarantee persistence of food webs in stochastic environm...
متن کاملEvolutionary stability implies asymptotic stability under multiplicative weights
We show that evolutionarily stable states in general (nonlinear) population games (which can be viewed as continuous vector fields constrained on a polytope) are asymptotically stable under a multiplicative weights dynamic (under appropriate choices of a parameter called the learning rate or step size, which we demonstrate to be crucial to achieve convergence, as otherwise even chaotic behavior...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Difference Equations and Applications
سال: 2013
ISSN: 1023-6198,1563-5120
DOI: 10.1080/10236198.2013.804916