A nonautonomous multispecies competition-predator system with type Ⅱfunctional response is studied in this paper. It is proved that the system is per-manent under some appropriate conditions. Further, if the system i...A nonautonomous multispecies competition-predator system with type Ⅱfunctional response is studied in this paper. It is proved that the system is per-manent under some appropriate conditions. Further, if the system is a periodic one, a set of easily verifiable suflficient conditions which guarantee the existence, uniqueness and global attractivity of a strictly positive periodic solution are ob-tained.展开更多
In this paper, a nonautonomous ratio-dependent multispecies competitionpredator system with Holling＇s Ⅲ type functional response is studied, where all parameters are time dependent. It is proved that the system is u...In this paper, a nonautonomous ratio-dependent multispecies competitionpredator system with Holling＇s Ⅲ type functional response is studied, where all parameters are time dependent. It is proved that the system is uniformly persistent under suitable condition. Furthermore, the sufficient conditions are established for global attractivity of a periodicsolution of the system. response展开更多
In this paper, we consider a nonautonomous multispecies competition-predator system with Holling＇s type Ⅲ functional response. The coexistence of the system, under some conditions, is obtained. Furthermore, using Ly...In this paper, we consider a nonautonomous multispecies competition-predator system with Holling＇s type Ⅲ functional response. The coexistence of the system, under some conditions, is obtained. Furthermore, using Lyapunov function, we show that the system has a strictly positive almost periodic solution which is globally asymptotically stable.展开更多
In this paper, a nonautonomous Predator-prey model with functional response and impulses is studied. By using comparison theorem and the monotonicity, some sufficient conditions which guarantee the permanence and asym...In this paper, a nonautonomous Predator-prey model with functional response and impulses is studied. By using comparison theorem and the monotonicity, some sufficient conditions which guarantee the permanence and asymptotic behavior of this system are obtained.展开更多
基金Supported by the NNSF of China(19972058) and the NSF of Yunnan Province (2001A0001M).
文摘A nonautonomous multispecies competition-predator system with type Ⅱfunctional response is studied in this paper. It is proved that the system is per-manent under some appropriate conditions. Further, if the system is a periodic one, a set of easily verifiable suflficient conditions which guarantee the existence, uniqueness and global attractivity of a strictly positive periodic solution are ob-tained.
基金This work is supported by the Foundation of Science and Technology of Fujian Province for Young Scholars (2004J0002) the Foundation of Fujian Education Bureau (JA04156).
文摘In this paper, a nonautonomous ratio-dependent multispecies competitionpredator system with Holling＇s Ⅲ type functional response is studied, where all parameters are time dependent. It is proved that the system is uniformly persistent under suitable condition. Furthermore, the sufficient conditions are established for global attractivity of a periodicsolution of the system. response
基金Project supported by the National Natural Science Foundation of China (No.10171010) the Key Project on Science and Technology of the Education Ministry of People's Republic of China (No. Key 01061).
文摘In this paper, we consider a nonautonomous multispecies competition-predator system with Holling＇s type Ⅲ functional response. The coexistence of the system, under some conditions, is obtained. Furthermore, using Lyapunov function, we show that the system has a strictly positive almost periodic solution which is globally asymptotically stable.
文摘In this paper, a nonautonomous Predator-prey model with functional response and impulses is studied. By using comparison theorem and the monotonicity, some sufficient conditions which guarantee the permanence and asymptotic behavior of this system are obtained.
