By using a new method, a set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions for three\|species Lotka\|Volterra mixed systems with periodic stocking:x 1′(t)=x ...By using a new method, a set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions for three\|species Lotka\|Volterra mixed systems with periodic stocking:x 1′(t)=x 1(t)(b 1(t)-a 11 (t)x 1(t)-a 12 (t)x 2(t)-a 13 (t)x 3(t))+S 1(t) x 2′(t)=x 2(t)(-b 2(t)+a 21 (t)x 1(t)-a 22 (t)x 2(t)-a 23 (t)x 3(t))+S 2(t) x 3′(t)=x 3(t)(-b 3(t)+a 31 (t)x 1(t)-a 32 (t)x 2(t)-a 33 (t)x 3(t))+S 3(t)where b i(t),a ij (t)(i,j=1,2,3) are positive continuous T \|periodic functions, S i(t)(i=1,2,3) are nonnegative continuous T \|periodic functions.展开更多
In this paper, a three species difFusive predator-prey modei with functional response and periodic stocking is studied, where all parameters are time depen-dent. By using new theorem of coincidence degree theory, the ...In this paper, a three species difFusive predator-prey modei with functional response and periodic stocking is studied, where all parameters are time depen-dent. By using new theorem of coincidence degree theory, the existence of a positive periodic solution for this system is established.展开更多
To determine suitable stocking period is extremely important for increasing yield, improving quality and especially increasing breeding efficiency. The purpose of this study was to provide a technical approach for det...To determine suitable stocking period is extremely important for increasing yield, improving quality and especially increasing breeding efficiency. The purpose of this study was to provide a technical approach for determination of suitable stocking period in aquaculture. Agricultural mete- orology, mathematical statistics, methodology of economics, methodology of management, and other methods were used to explore suitability of stocking period in aquaculture, As learned from stocking of Penaeus orientalis in coastal area of Yancheng City of Jiangsu, we believed that to es- tablish model for benefit assessment was one of ideal ways to determine suitable stocking period. In order to determine stocking period more scien- tifically, stocking test must be performed for specific aquatic species. The effects of environmental conditions on growth and development of juvenile aquatic livestock should be studied to identify key restraining factors, e.g., water temperature, for growth and development. The study provides the basis for establishing model for determination of suitable stocking period.展开更多
文摘By using a new method, a set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions for three\|species Lotka\|Volterra mixed systems with periodic stocking:x 1′(t)=x 1(t)(b 1(t)-a 11 (t)x 1(t)-a 12 (t)x 2(t)-a 13 (t)x 3(t))+S 1(t) x 2′(t)=x 2(t)(-b 2(t)+a 21 (t)x 1(t)-a 22 (t)x 2(t)-a 23 (t)x 3(t))+S 2(t) x 3′(t)=x 3(t)(-b 3(t)+a 31 (t)x 1(t)-a 32 (t)x 2(t)-a 33 (t)x 3(t))+S 3(t)where b i(t),a ij (t)(i,j=1,2,3) are positive continuous T \|periodic functions, S i(t)(i=1,2,3) are nonnegative continuous T \|periodic functions.
基金Research supported by National Natural Science Foundation of China(No.19531070)the Youth Project Foundation of Hubei Province Education Department(No.2002B00002)
文摘In this paper, a three species difFusive predator-prey modei with functional response and periodic stocking is studied, where all parameters are time depen-dent. By using new theorem of coincidence degree theory, the existence of a positive periodic solution for this system is established.
基金funded by the National Special Research Fund for Public Welfare (Meteorology) of China (GYHY201006029)(Meteorological Key Technology for Aquaculture)
文摘To determine suitable stocking period is extremely important for increasing yield, improving quality and especially increasing breeding efficiency. The purpose of this study was to provide a technical approach for determination of suitable stocking period in aquaculture. Agricultural mete- orology, mathematical statistics, methodology of economics, methodology of management, and other methods were used to explore suitability of stocking period in aquaculture, As learned from stocking of Penaeus orientalis in coastal area of Yancheng City of Jiangsu, we believed that to es- tablish model for benefit assessment was one of ideal ways to determine suitable stocking period. In order to determine stocking period more scien- tifically, stocking test must be performed for specific aquatic species. The effects of environmental conditions on growth and development of juvenile aquatic livestock should be studied to identify key restraining factors, e.g., water temperature, for growth and development. The study provides the basis for establishing model for determination of suitable stocking period.
