title: Dynamic behavior of positive solutions for a leslie predator-prey system with mutual interference and feedback controls.
abstract: We consider a Leslie predator-prey system with mutual interference and feedback controls. For general nonautonomous case, by using differential inequality theory and constructing a suitable Lyapunov functional, we obtain some sufficient conditions which guarantee the permanence and the global attractivity of the system. For the periodic case, we obtain some sufficient conditions which guarantee the existence, uniqueness, and stability of a positive periodic solution.
authors.affiliation: Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China.
authors.forename: Cong
authors.initials: C
authors.lastname: Zhang
authors.affiliation: Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China.
authors.forename: Nan-jing
authors.identifier: 0000-0003-0248-9316
authors.initials: NJ
authors.lastname: Huang
authors.affiliation: Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China.
authors.forename: Chuan-xian
authors.initials: CX
authors.lastname: Deng
mesh_terms: D003198:Computer Simulation; D020387:Food Chain; D008954:Models, Biological; D011157:Population Dynamics