two-prey one-predator system with a special Holling-Ⅱ functional response is discussed. That w-periodic solution of the predator extinction is global asymptotically stable is proved by some new methods. Furthermore, ...two-prey one-predator system with a special Holling-Ⅱ functional response is discussed. That w-periodic solution of the predator extinction is global asymptotically stable is proved by some new methods. Furthermore, by the comparison theorem of impulsive differential equation, the sufficient conditions are derived for the permanence and the existence of periodic solution of the system.展开更多
In this paper, basing on a new family of masks, namely primal-dual-pseudo spline(PDPS), we present basics of PDPSs which include the regularity, asymptotical analysis and approximation order.
基金Supported by the Education Department Natural Science Foundation of Henan Province (2008A180041)
文摘two-prey one-predator system with a special Holling-Ⅱ functional response is discussed. That w-periodic solution of the predator extinction is global asymptotically stable is proved by some new methods. Furthermore, by the comparison theorem of impulsive differential equation, the sufficient conditions are derived for the permanence and the existence of periodic solution of the system.
文摘In this paper, basing on a new family of masks, namely primal-dual-pseudo spline(PDPS), we present basics of PDPSs which include the regularity, asymptotical analysis and approximation order.