Permanence and global stability for nonautonomous -species Lotka–Valterra competitive system with impulses
Tóm tắt
Từ khóa
Tài liệu tham khảo
Bainov, 1993
Lakshmikantham, 1989
E. Liz, Boundary value problems for new types of differential equations, Ph.D. Thesis, University of Vigo Spain, 1994 (in Spanish)
Samoilenko, 1995
Ahmad, 2008, Almost periodic solutions of n-dimensional impulsive systems, Nonlinear Anal. RWA, 9, 1721
Ahmad, 2007, Asymptotic stability of competitive systems with delays and impulsive perturbations, J. Math. Anal. Appl., 334, 686, 10.1016/j.jmaa.2006.12.068
Ahmad, 2007, Asymptotic stability of an N-dimensional impulsive competitive system, Nonlinear Anal. RWA, 8, 654, 10.1016/j.nonrwa.2006.02.004
Akhmet, 2006, An impulsive ratio-dependent predator-prey system with diffusion, Nonlinear Anal. RWA, 7, 1255, 10.1016/j.nonrwa.2005.11.007
Ballinger, 1997, Permanence of population growth models with impulsive effects, Math. Comput. Modelling, 26, 59, 10.1016/S0895-7177(97)00240-9
Liu, 2003, Boundedness for impulsive delay differential equations and applications to population growth models, Nonlinear Anal., 53, 1041, 10.1016/S0362-546X(03)00041-5
Liu, 2004, Global dynamics of the periodic logistic system with periodi impulsive perturbations, J. Math. Anal. Appl., 289, 279, 10.1016/j.jmaa.2003.09.058
Men, 2008, The dynamics of an impulsive delay predator-prey model with variable coefficients, Appl. Math. Comput., 198, 361, 10.1016/j.amc.2007.08.075
Saker, 2007, EXistence of periodic solutions, global attractivity and oscillation of impulsive delay population model, Nonlinear Anal. RWA, 8, 1029, 10.1016/j.nonrwa.2006.06.001
Wang, 2009, Partial survival and extinction in two competing species with impulses, Nonlinear Anal. RWA, 10, 1243, 10.1016/j.nonrwa.2007.11.012
Wen, 2006, Persistence and extinction in two species models with impulse, Acta Math. Sin. (Engl. Ser.), 2, 447, 10.1007/s10114-005-0541-5
Zhang, 2008, On the impulsive controllability and bifurcation of a predator-prey model of IPM, BioSystems, 93, 151, 10.1016/j.biosystems.2008.03.008
Jin, 2005, The persistence in a Lotka-Volterra competition systems with impulsive, Chaos Solitons Fractals, 24, 1105, 10.1016/j.chaos.2004.09.065
Ahmad, 1998, Necessary and sufficient average growth in a Lotka–Volterra system, Nonlinear Anal., 34, 191, 10.1016/S0362-546X(97)00602-0
Ahmad, 2000, Average conditions for global asymptotic stability in a nonautonomous Lotka–Volterra system, Nonlinear Anal., 40, 37, 10.1016/S0362-546X(00)85003-8
Ahmad, 2005, Average growth and extinction in a competitive Lotka–Volterra system, Nonlinear Anal., 62, 545, 10.1016/j.na.2005.03.069
Teng, 2000, Permanence and asymptotic behavior of the N-species nonautonomous Lotka–Volterra competitive systems, Comput. Math. Appl., 39, 107, 10.1016/S0898-1221(00)00069-9
Berman, 1979
Teng, 1999, The positive periodic solutions in periodic Kolmogorov type systems with delays, Acta Math. Appl. Sin., 22, 446