[PDF] Top 20 Extinction for a discrete competition system with feedback controls

... of system (.). Extinction of species and the stability property of another species were considered in ...the extinction of one of the com- ponents and the global attractivity of the other one were ... See full document

... A discrete predator-prey system with time delay and feedback controls is ...to extinction. The results indicate that one can choose suitable controls to make the species ... See full document

... and feedback controls. Yu [] further showed that feedback control variables have no influence on the persistent property of the ...the extinction property is also an important topic in the ... See full document

... with feedback controls (see [–] and the references ...competitive system and discussed the existence of the globally attractive positive equilibrium of the system with feedback ... 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 permanence and the ... See full document

... Wang improved the permanence results in [], and obtained the critical number between weak persistence and extinction. However, to the best of the authors’ knowledge, to this day, still few scholars consider the ... See full document

... competitive system is globally stable, the feedback control variables had no influence on the global stability of the system ...competitive system is showing extinction, they can make ... See full document

... to extinction while the other will be globally attractive with any positive solution of a discrete logistic equation under some ...the extinction of ... See full document

... The remainder of the paper is organized as follows: in Section , we introduce some useful lemmas and obtain the sufficient conditions to guarantee the permanence and the extinction of system (.). In ... See full document

... ecological competition systems governed by differential equa- tions of Lotka-Volterra type have been investigated ...and extinction of the population, ...the discrete time models gov- erned by ... See full document

... On the other hand, as was pointed out by Huo and Li 7, ecosystem in the real world is continuously disturbed by unpredictable forces which can result in changes in the biological parameters such as survival rates. ... See full document

... uncertainties based on discrete state observations. Moreover, controllers will be put not only in drift part, but also in diffusion part of the system. The rest of this paper is arranged as follows. In ... See full document

... The remainder of the paper is organized as follows: in Sect. 2, basic notations, assump- tions, definitions, and lemmas are prepared. In Sect. 3, a set of sufficient conditions which ensure the existence of periodic ... See full document

... nonlinear discrete time feedback control design by searching over a family of controls and associated candidate quadratic control Lyapunov functions parameterized by the symmetric positive definite ... See full document

... the studies for many-species difference models focus their attention on the permanence of models or extinction of populations (see [6, 7, 8, 12, 20] and the references therein). Few papers investigate the global ... See full document

... nonautonomous discrete competitive system with nonlinear inter-inhibition terms and feedback con- trols is studied in this ...of system is obtained. The results indicate that feedback ... See full document

... by feedback controls based on discrete-time state observations in 2013, many authors have further studied and developed ...by feedback controls based on discrete-time state ... See full document

... The paper is organized as follows: In Section , with the help of Gaines and Mawhin’s continuation theorem, some sufficient conditions are established, which guarantee the existence of positive periodic solutions of the ... See full document

... of discrete or continuous feedback control systems with ...that feedback controls have no influence on the persistent property of these ... See full document

... the discrete method in solving Hamilton- Jacobi-Bellman equations for value functions of nonlinear problems was dis- ...the discrete solutions of nonlinear optimal control ...a discrete optimal ... See full document