On Neutral-delay Two-species Lotka-volterra Competitive Systems
نویسنده
چکیده
The qualitative behaviorof positive solutions of the neutral-delay two-species LotkaVolterra competitive system with several discrete delays is investigated. Sufficient conditions are obtained for the local asymptotic stability of the positive steady state. In fact, some of these sufficient conditions are also necessary except at those critical values. Results on the oscillatory and non-oscillatory characteristics of the positive solutions are also included.
منابع مشابه
Global stability of interior and boundary fixed points for Lotka-Volterra systems
For permanent and partially permanent, uniformly bounded Lotka-Volterra systems, we apply the Split Lyapunov function technique developed for competitive Lotka-Volterra systems to find new conditions that an interior or boundary fixed point of a Lotka-Volterra system with general species-species interactions is globally asymptotically stable. Unlike previous applications of the Split Lyapunov t...
متن کاملExtinction in Competitive Lotka-volterra Systems
It is well known that for the two species autonomous competitive Lotka-Volterra model with no fixed point in the open positive quadrant, one of the species is driven to extinction, whilst the other population stabilises at its own carrying capacity. In this paper we prove a generalisation of this result to arbitrary finite dimension. That is, for the «-species autonomous competitive Lotka-Volte...
متن کاملControllability of Neutral Volterra Integrodifferential Systems
Sufficent conditions for controllability of nonlinear neutral Volterra integrodifferential systems are established. Controllability of an infinite-delay neutral Volterra system is also considered.
متن کاملGeometry of carrying simplices of 3-species competitive Lotka-Volterra systems
We investigate the existence, uniqueness and Gaussian curvature of the invariant carrying simplices of 3 species autonomous totally competitive Lotka-Volterra systems. Explicit examples are given where the carrying simplex is convex or concave, but also where the curvature is not single-signed. Our method monitors the curvature of an evolving surface that converges uniformly to the carrying sim...
متن کاملGlobal Attractor in Autonomous Competitive Lotka-volterra Systems
For autonomous Lotka-Volterra systems modelling the dynamics of N competing species, a new condition has been found to prevent a particular species from dying out. Based on this condition, criteria have been established for all or some of the N species to stabilise at a steady state whilst the others, if any, die out.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008