Permanence and almost periodic sequence solution for a discrete delay logistic equation with feedback control

Some Differential Inequalities on Time Scales and Their Applications to Feedback Control Systems

“…So it is worthwhile considering the permanence of biological models. The permanence of biological systems has been discussed by many authors [4][5][6][7][8][9][10][11][12][13][14][15][16][17]. In the process of studying these problems, the comparison method plays a paramount role.…”

Almost Periodic Solution of a Multispecies Discrete Mutualism System with Feedback Controls

“…As we all known, investigating the almost periodic solutions of discrete population dynamics model with feedback control has more extensively practical application value (see [11,22,23,[29][30][31][32][33][34] and the references cited therein). Wang [22] considered a nonlinear single species discrete with feedback control and obtained some sufficient conditions which assure the unique existence and global attractivity of almost positive periodic solution.…”

Permanence and existence of periodic solution of a discrete periodic Lotka–Volterra competition system with feedback control and time delays

“…By applying Mawhin's coincidence theorem, they obtained some sufficient conditions for the existence of positive solutions. Li and Zhang [9] discussed the following delay logistic equation with feedback control:…”