论文信息 - Existence of almost periodic solution in a ratio-dependent Leslie system with feedback controls

Existence of almost periodic solution in a ratio-dependent Leslie system with feedback controls

A ratio-dependent Leslie system with feedback controls is studied. By using a comparison theorem and constructing a suitable Lyapunov function, some sufficient conditions for the existence of a unique almost periodic solution (periodic solution) and the global attractivity of the solutions are obtained. Examples show that the obtained criteria are new, general, and easily verifiable.

Fei Chen | Xiaohong Cao | Fei Chen | Xiaohong Cao

[1] Sze-Bi Hsu,et al. Global Stability for a Class of Predator-Prey Systems , 1995, SIAM J. Appl. Math..

[2] Sze-Bi Hsu,et al. A ratio-dependent food chain model and its applications to biological control. , 2003, Mathematical biosciences.

[3] Sze-Bi Hsu,et al. Some results on global stability of a predator-prey system , 1982 .

[4] Rui Xu,et al. Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment , 2000 .

[5] Ravi P. Agarwal,et al. Periodicity and Stability in Periodic n-Species Lotka-Volterra Competition System with Feedback Controls and Deviating Arguments , 2003 .

[6] Ke Wang,et al. Global Existence of Positive Periodic Solutions of Periodic Predator–Prey System with Infinite Delays , 2001 .

[7] P. H. Leslie. SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS , 1948 .

[8] Fengde Chen,et al. Permanence in nonautonomous multi-species predator-prey system with feedback controls , 2006, Appl. Math. Comput..

[9] Ke Wang,et al. Dynamics of a class of nonautonomous semi-ratio-dependent predator-prey systems with functional responses ✩ , 2003 .

[10] J. Gower,et al. The properties of a stochastic model for the predator-prey type of interaction between two species , 1960 .

[11] Wan-Tong Li,et al. Stable periodic solution of the discrete periodic Leslie-Gower predator-prey model , 2004, Math. Comput. Model..