[PDF] Top 20 Permanence for a discrete competitive system with feedback controls

... the first and second species, respectively. For more ecological sense of model (1), one can see [1] and the references cited therein. By using differential inequality, the module containment theorem and the Lyapunov ... See full document

... that discrete time models governed by difference equations are more appropriate than the continuous ones when the populations have nonoverlapping ...generations. Discrete time models can also provide efficient ... See full document

... a discrete pollination mutualism in a plant-pollinator system with the Beddington-DeAngelis functional response and feedback ...the permanence and the extinction of the ...the system is ... See full document

... predator-prey system with Beddington-DeAngelis functional response and feedback controls is ...the permanence of the system are ... See full document

... 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 the ... See full document

... It is well known that the effect of time delay plays an important role in population dynamics 11; therefore, model 1.1 can be constructed from model 1.6 while considering the effect of time delays. Obviously, models 1.2, ... See full document

... the discrete time models governed by difference equations are more appropriate than the continuous ones when the populations have nonoverlapping ...the discrete case of cooperative system is more ... See full document

... Huo and Li [] obtained sufficient conditions which ensure the permanence and global stability of the system (.). Li and Chen [] proved that one of the components will be driven to extinction while the ... See full document

... systems, permanence and extinction are two important and interesting topics, respectively meaning that the population system will survive or die out in the future, which have received much attention (see ... See full document

... the permanence results in [], and obtained the critical number between weak persistence and ...logistic system with feedback ...how feedback controls affect the survival of species ... See full document

... the discrete time models gov- erned by difference equations are more appropriate than the continuous ones when the populations have nonoverlapping ...persistence, permanence, extinction, local and global ... See full document

... ecological system is usually affected by seasonal factors, so that the sys- tem parameters show the changing characteristics of the ...with feedback control and infinite delay effect and to study its stability ... See full document

... and permanence of a biological system have been studied by several authors [– ...continuous system capture has received many scholars’ attention ...the discrete system’s ...the ... See full document

... a logistic equation. Teng 8 and Ahmad and Stamova 9 also studied the coexistence on a nonautonomous Lotka-Volterra competitive system. They obtained the necessary or sufficient conditions for the ... See full document

... tions, and they obtained sufficient conditions which guarantee the existence of a unique globally asymptotically stable strictly positive periodic solution. In [], Cui further incor- porated continuous time delays and ... See full document

... nonautonomous discrete competition system with nonlinear interinhibition terms and feedback ...corresponding feedback controls ...that feedback control variables play an ... See full document

... prey-predator system such as ...with permanence, extinction and persistence or uniform persistence, global stability, and almost periodic solutions are ob- tained (see, for example, ... See full document

... persistence, permanence and extinction of species, the existence of periodic solutions and positive almost periodic so- lutions, bifurcation and chaos and so on) of predator-prey models has been investigated in a ... See full document

... controlled system (1) is a special hybrid uncertain system with a bounded variable delay with coefficients satisfying the local Lipschitz condition and the linear growth condition with respect to x(t) and ... See full document

... Mutualism is one of the most important relationships in the real world, for instance, ants prevent herbivores from feeding on plants (see []) and ants prevent predators from feeding on aphids (see [, ]). As was ... See full document