Global stability for a Lotka-Volterra reaction-diffusion system with a qualitatively stable matrix
نویسندگان
چکیده
منابع مشابه
Global Asymptotic Stability for a Diffusion Lotka-volterra Competition System with Time Delays
A type of delayed Lotka-Volterra competition reaction-diffusion system is considered. By constructing a new Lyapunov function, we prove that the unique positive steady-state solution is globally asymptotically stable when interspecies competition is weaker than intraspecies competition. Moreover, we show that the stability property does not depend on the diffusion coefficients and time delays.
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متن کاملA Periodic Lotka-volterra System
In this paper periodic time-dependent Lotka-Volterra systems are considered. It is shown that such a system has positive periodic solutions. It is done without constructive conditions over the period and the parameters. 1. The Periodic Lotka-Volterra System. Consider the Predator-Prey model (see Volterra [1]) N ′ 1 = (ε1 − γ1N2)N1 N ′ 2 = (−ε2 + γ2N1)N2. (1) The functions N1 and N2 measure the ...
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We study the existence, uniqueness, and asymptotic stability of time periodic traveling wave solutions to a periodic diffusive Lotka-Volterra competition system. Under certain conditions, we prove that there exists a maximal wave speed c(*) such that for each wave speed c ≤ c(*), there is a time periodic traveling wave connecting two semi-trivial periodic solutions of the corresponding kinetic ...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 1999
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(99)00180-6