论文信息 - Extinction in two dimensional nonautonomous Lotka-Volterra systems with the effect of toxic substances

Extinction in two dimensional nonautonomous Lotka-Volterra systems with the effect of toxic substances

In this paper, we consider a nonautonomous competitive Lotka-Volterra system of two species with the effect of toxic substances. It is shown that toxic substances play an important role in the extinction of species. We prove that one of components will be driven to extinction while the other will stabilize at a certain solution of a logistic equation under some conditions.

Zhong Li | Fengde Chen

[1] M. Zeeman,et al. Extinction in nonautonomous competitive Lotka-Volterra systems , 1996 .

[2] Fengde Chen. On a nonlinear nonautonomous predator-prey model with diffusion and distributed delay , 2005 .

[3] Extinction in a two dimensional Lotka–Volterra system with infinite delay , 2006 .

[4] Antonio Tineo. Asymptotic behaviour of positive solutions of the nonautonomous Lotka-Volterra competition equations , 1993 .

[5] Fengde Chen. Positive periodic solutions of neutral Lotka-Volterra system with feedback control , 2005, Appl. Math. Comput..

[6] Jinlin Shi,et al. Periodicity in a logistic type system with several delays , 2004 .

[7] Alan C. Lazer,et al. On a property of nonautonomous Lotka-Volterra competition model , 1999 .

[8] Shair Ahmad,et al. On the nonautonomous Volterra-Lotka competition equations , 1993 .

[9] Jean-Pierre Gabriel,et al. Differential equation models of some parasitic infections: Methods for the study of asymptotic behavior , 1985 .

[10] Joydev Chattopadhyay,et al. Effect of toxic substances on a two-species competitive system , 1996 .

[11] Persistence and periodic orbits for two-species non-autonomous diffusion lotka-volterra models , 2004 .

[12] Lansun Chen,et al. Persistence and periodic orbits for two-species nonautonomous diffusion lotka-volterra models , 1994 .