Abstract. In this paper, we consider a stage structure population model with two lifestages, immature and mature, with harvesting mature population and stocking immaturepopulation. It is shown that under suitable hypo...Abstract. In this paper, we consider a stage structure population model with two lifestages, immature and mature, with harvesting mature population and stocking immaturepopulation. It is shown that under suitable hypotheses there exists a globally asymptoti-cally stable positive equilibrium. The effect of the delay on the populations at equilibriumand the optimal harvesting policy for mature population are also considered.展开更多
In this paper,we consider a nonautonomous competitive model with dispersion and a finite number of discrete delays.The system,which consists of two lotka-Volterra patches,has two competitors:one can disperse between t...In this paper,we consider a nonautonomous competitive model with dispersion and a finite number of discrete delays.The system,which consists of two lotka-Volterra patches,has two competitors:one can disperse between the two patches,but the other is confined to one patch and coannot disperse.Our purpose is to demonstrate that the dispersion rates have no effect on the uniform persistence of the solutions of the system.Furthermore,we establish the conditions under which the system admits a positive periodic solution which attracts all solutions.展开更多
基金the National Natural Science Foundation of China and Natural Science Foundation of Henan Province.
文摘Abstract. In this paper, we consider a stage structure population model with two lifestages, immature and mature, with harvesting mature population and stocking immaturepopulation. It is shown that under suitable hypotheses there exists a globally asymptoti-cally stable positive equilibrium. The effect of the delay on the populations at equilibriumand the optimal harvesting policy for mature population are also considered.
基金This research is supported by the National Natural Science Foundation of China the Natural Science Foundation of Henan Province.
文摘In this paper,we consider a nonautonomous competitive model with dispersion and a finite number of discrete delays.The system,which consists of two lotka-Volterra patches,has two competitors:one can disperse between the two patches,but the other is confined to one patch and coannot disperse.Our purpose is to demonstrate that the dispersion rates have no effect on the uniform persistence of the solutions of the system.Furthermore,we establish the conditions under which the system admits a positive periodic solution which attracts all solutions.
