Persistence and global stability in discrete models of pure-delay nonautonomous Lotka–Volterra type
نویسندگان
چکیده
منابع مشابه
Persistence and Global Stability in Discrete Models of Pure-delay Nonautonomous Lotka-Volterra Type
In this paper, for the above discrete system of pure-delay type, by improving the former work (2002, J. Math. Anal. Appl. 273, 492-511) which extended the averaged condition offered by S. Ahmad and A. C. Lazer (2000, Nonlinear Analysis 40, 37-49), we offer conditions of persistence, and considering a Lyapunov-like discrete function to the above discrete system, we establish sufficient condition...
متن کاملGLOBAL ATTRACTIVITY OF AN n-SPECIES NONAUTONOMOUS “PURE-DELAY-TYPE” COMPETITION SYSTEM
Abstract. In this paper, we study a non-autonomous n-species “pure-delay-type” competitive system, which can be seen as the generalization of the traditional “puredelay-type” Lotka-Volterra competition system. By constructing a suitable Lyapunov functional, some sufficient conditions which guarantee the global attractivity of the positive solutions of the system are obtained. An example shows t...
متن کاملDiscrete three-stage population model: persistence and global stability results.
A general three-stage discrete-time population model is studied. The inherent net reproductive number for this model is derived. Global stability of the origin is established provided that the inherent net reproductive number is less than one. If it is larger than one the existence of a unique positive fixed point is proved and the persistence of the system is established. Finally, for certain ...
متن کاملPersistence and Global Stability for a Class of Discrete Time Structured Population Models
We obtain sharp conditions distinguishing extinction from persistence and provide sufficient conditions for global stability of a positive fixed point for a class of discrete time dynamical systems on the positive cone of an ordered Banach space generated by a map which is, roughly speaking, a nonlinear, rank one perturbation of a linear contraction. Such maps were considered by Rebarber, Tenhu...
متن کاملPermanence and Global Stability of Positive Solutions of a Nonautonomous Discrete Ratio-dependent Predator-prey Model
In the theoretical ecology, permanence and global stability of the population model are very important. There are extensive literature related to these topics for differential equation models (see [3, 6, 7, 8, 9, 12] and the references cited therein). Recently, there has been a tendency for some researchers in the field of difference equations to develop some new methods which are analogous to ...
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 Mathematical Analysis and Applications
سال: 2004
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2003.12.033