[PDF] Top 20 Global stability of May cooperative system with feedback controls

... Obviously, the solutions of system (.) with initial values (.) are positive for all t ≥ . The rest of the paper is organized as follows. We will state and prove the main results in next section. In Section ... See full document

... In this paper, a May cooperative system with strong and weak cooperative partners is studied. We obtained the sufficient conditions that guarantee the permanence, non- permanence and the ... See full document

... Lotka-Volterra cooperative system with time delays and feedback ...the system to be permanent. Our results show that feedback control variables have no influence on the permanence of ... See full document

... with feedback controls is ...the system is globally stable, which means that feedback control variables only change the position of the positive equilibrium and retain its global ... See full document

... Both of the above-mentioned works are considered the continuous cases. However, many authors 3–5 have argued that the discrete time models governed by difference equations are more appropriate than the continuous ones ... See full document

... the global existence and attractivity of periodic solution, persistence and extinction of the population, ...and global stability and the existence of positive periodic solutions, ... See full document

... predator-prey system with a Beddington-DeAngelis functional re- sponse and stage structure for ...its global asymptotic stability by using the qualitative methods of ordinary differential ...local ... See full document

... et al. 12. It is similar to the well-known Holling type II functional response but has an extra term γy in the denominator which models mutual interference between predators. It can be derived mechanistically from ... See full document

... By using Lyapunov function and some preliminary lemmas, the existence and uniformly as- ymptotic stability of unique positive almost periodic solution of the system (3) are investigated by Wang et al. [5]. ... See full document

... the system (.) describes a system of the dynamics of an n-species model in which each individual competes with all the others of the model for a common resource, and the intra-species competition involves ... See full document

... decentralized feedback control under a suitable ...the stability of a local Wardrop equilibrium and then its extension to a global ...the global equilibrium and the stability of the ... See full document

... the global stability of the boundary order- limit cycle have been obtained for the first time, which can be used to compare the efficiency of a single control tactic alone with the efficiency of more than one ... See full document

... Asymptotic Stability of a Two Species Competitive System with Stage Struc- ture and Harvesting,” Communications in Nonlinear Sci- ence & Numerical Simulation, ...Prey-Predator System with Holling ... See full document

... circulatory system so as to maintain the normal blood environ- ...hematopoietic system and proposed a nonlinear delay differential equation model (Hematopoiesis Model, HM) describing the dynamics of ... See full document

... asymptotic stability of a positive almost periodic solution of system ...the stability property of another species were considered in ...the global attractivity of the other one were obtained ... See full document

... predator-prey system with diffusion term and stage structure is discussed, local stability of the system is studied using linearization method, and global stability of the system ... See full document

... implementing cooperative MIMO ...in cooperative MIMO network techniques based on reducing need to the channel state information ...reducing feedback of channel state information in cooperative ... See full document

... positive equilibrium of a regulated logistic growth with a delay in the state feedback of the control modelled by.. Key words and phrases: global asymptotic stability, logistic growth, f[r] ... See full document

... the stability as coverage gaps may be left uncovered with such limited local ...There may be a serious compromise on agility and stability in general (non cooperative) OFDMA based ... See full document

... transient stability studies it is prerequisite to do AC/DC load flow calculations in order to obtain system conditions prior to the ...AC system reactive power and voltage conditions is significant, ... See full document