Uniform global asymptotic stability of time-varying Lotka–Volterra predator–prey systems
Tài liệu tham khảo
Ewing, 2016, Modelling the effect of temperature on the seasonal population dynamics of temperate mosquitoes, J. Theoret. Biol., 400, 65, 10.1016/j.jtbi.2016.04.008
Irel, 2004, The effect of seasonal host birth rates on population dynamics: the importance of resonance, J. Theoret. Biol., 231, 229, 10.1016/j.jtbi.2004.06.017
Liu, 2017, Analysis of an age structured model for tick populations subject to seasonal effects, J. Differential Equations, 263, 2078, 10.1016/j.jde.2017.03.038
Lv, 2010, Existence and global attractivity of positive periodic solutions of Lotka–Volterra predator–prey systems with deviating arguments, Nonlinear Anal. RWA, 11, 574, 10.1016/j.nonrwa.2009.09.004
Noufaey, 2015, The diffusive Lotka–Volterra predator–prey system with delay, Math. Biosci., 270A, 30, 10.1016/j.mbs.2015.09.010
Staňková, 2013, Irreversible prey diapause as an optimal strategy of a physiologically extended Lotka–Volterra model, J. Math. Biol., 66, 767, 10.1007/s00285-012-0599-5
Sugie, 2011, Global asymptotic stability for predator–prey systems whose prey receives time-variation of the environment, Proc. Amer. Math. Soc., 139, 3475, 10.1090/S0002-9939-2011-11124-9
Wang, 2016, Modelling seasonal HFMD infections with the effects of contaminated environments in mainland China, Appl. Math. Comput., 274, 615
Xu, 2001, Global asymptotic stability in a nonautonomous n-species Lotka–Volterra predator–prey system with infinite delays, Appl. Anal., 80, 107, 10.1080/00036810108840983
Michel, 2008, Stability dynamical systems
Rouche, 1977
Yoshizawa, 1966, Stability Theory by Liapunov’s Second Method, Math. Soc. Japan, Tokyo.
Zheng, 2015, A necessary and sufficient condition for global asymptotic stability of time-varying Lotka–Volterra predator–prey systems, Nonlinear Anal., 127, 128, 10.1016/j.na.2015.06.031
