Periodic solution of a stochastic non-autonomous Lotka-Volterra cooperative system with impulsive perturbations
نویسندگان
چکیده
منابع مشابه
A 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 ...
متن کاملPeriodic Solution of Impulsive Lotka-Volterra Recurrent Neural Networks with Delays
In this paper, periodic solution of impulsive Lotka-Volterra recurrent neural networks with delays is studied. Using the continuation theorem of coincidence degree theory and analysis techniques, we establish criteria for the existence of periodic solution of impulsive Lotka-Volterra recurrent neural networks with delays.
متن کاملExistence of Periodic Solution for a Non-Autonomous Stage-Structured Predator-Prey System with Impulsive Effects
In recent years, non-autonomous predator-prey systems have been widely studied [1-6]. There has been a growing interest in the study of mathematical models of populations dispersing among patches in the nature world [3,7-9]. In the classical predator-prey models it is usually assumed that each individual predator admits the same ability to feed on prey. However, it is different for some species...
متن کاملGlobal Stability of a Autonomous Stochastic Lotka-Volterra Competitive System with Feedback Controls and Infinite Delays
In this paper, we consider an autonomous Lotka-Volterra stochastic competitive system with feedback controls and infinite delays. Sufficient conditions which ensure the global stability of the system is considered. Some simulation figures are introduced to support the analytical findings.
متن کامل2n Positive Periodic Solutions to n Species Non-autonomous Lotka-Volterra Competition Systems with Harvesting Terms
By using Mawhin’s continuation theorem of coincidence degree theory, we establish the existence of 2 positive periodic solutions for n species non-autonomous Lotka-Volterra competition systems with harvesting terms. An example is given to illustrate the effectiveness of our results. Keywords—Positive periodic solutions; Lotka-Volterra competition system; Coincidence degree; Harvesting term.
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: Filomat
سال: 2018
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1804151l