Almost Periodic Solution of a Modified Leslie-Gower Predator-Prey Model with Beddington-DeAngelis Functional Response and Feedback Controls

作者：Zhang, Kerong; Li, Jianli^*; Yu, Aiwen

来源：Abstract and Applied Analysis, 2014, 2014: 1-8.

DOI：10.1155/2014/252579

• GLOBAL STABILITY
• II SCHEMES
• SYSTEMS
• DELAY

We consider a modified Leslie-Cower predator-prey model with the Beddington-DeAngelis functional response and feedback controls as follows: (x) over dot(t) = x (t) (a(1) (t) - b(t) x (t) - c(t) y(t) / (alpha(t) + beta(t) x (t) gamma(t) y(t)) - e(1) (t) u (t)), (u) over dot (t) = -d(1), (t) u (t) + p(1) (t) x (t - tau), (y) over dot(t) = y (t) (a(2) (t) - r(t) y (t) / (x (t) + k (t)) - e(2) (t) v (t)), and (v) over dot(t) = -d(2)(t)v(t)+ p(2)(t)y(t-tau) Sufficient conditions which guarantee the permanence and existence of a unique globally attractive positive almost periodic solution of the system are obtained.

• 出版日期2014
• 单位湖南师范大学