PERMANENCE OF A TWO SPECIES DELAYED COMPETITIVE MODEL WITH STAGE STRUCTURE AND HARVESTING

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참고문헌 (29)

1. J. R. Bence, "Space-limited recruitment in open systems: the importance of time delays", Ecology, 70(5), pp.1434~1441 (1989)
2. A. A. Berryman, "The origns and evolution of predator-prey theory", Ecology, 73(5), pp.1530~1535 (1992)
3. L. M. Cai, "Permanence and stability of a predator-prey system with stage structure for predator", J. Comput. Appl. Math, 201(2), pp.356~366 (2007)
4. F. D. Chen, "The permanence and global attractivity of Lotka-Volterra competition sys-tem with feedback control", Nonlinear Anal. Real World Appl, 7(1), pp.133~143 (2006)
5. F. D. Chen, "Permanence of a discrete n-species food-chain system with time delays", Appl. Math. Comput, 185(1), pp.719~726 (2007)
6. F. D. Chen, "Partial survival and extinction of a delayed predator-prey model with stage structure", Appl. Math. Comput, 219(8), pp.4157~4162 (2012)
7. F. D. Chen, "Permanence of a stage-structured predator-prey system", Appl. Math. Comput, 219(17), pp.8856~8862 (2013)
8. F. D. Chen, "Permanence for an integrodifferential model of mutualism", Appl. Math. Comput, 186(1), pp.30~34 (2007)
9. K. L. Cooke, "On zeroes of some transcendental equations", Funkcial. Ekvac, 29(1), pp.77~90 (1986)
10. J. M. Cushing, "Periodic time-dependent predator-prey system", SIAM J. Appl. Math, 32(1), pp.82~95 (1977)
11. J. Dhar, "Mathematical analysis of a delayed stage-structured predator-prey model with impulsive diffusion between two predators territories", Ecol. Complex
12. Y. H. Fan, "Permanence for a delayed discrete ratio-dependent predator-prey model with Holling type functional response", J. Math. Anal. Appl, 299(2), pp.357~374 (2004)
13. Z. Y. Hou, "On permanence of all subsystems of competitive Lotka-Volterra systems with delays", Nonlinear Anal. Real World Appl, 11(5), pp.4285~4301 (2010)
14. Z. Y. Hou, "On permanence of Lotka-Volterra systems with delays and variable intrinsic growth rates", Nonlinear Anal. Real World Appl, 14(2), pp.960~975 (2013)
15. H. X. Hu, "On the permanence in non-autonomous Lotka-Volterra competitive system with pure-delays and feedback controls", Nonlinear Anal. Real World Appl, 10(3), pp.1803~1815 (2009)
16. V. A. A. Jansen, "Generation cycles in stage struc-tured populations", Bull. Math. Biol, 52(3), pp.375~396 (1990)
17. X. Y. Liao, "Permanence and global stability in a discrete n-species competition system with feedback controls", Nonlinear Anal. Real World Appl, 9(4), pp.1661~1671 (2008)
18. S. Q. Liu, "Necessary-sufficient conditions for permanence and extinction in lotka-volterra system with distributed delay", Appl. Math. Lett, 16(6), pp.911~917 (2003)
19. S. Q. Liu, "Extinction and permanence in nonautonomous competitive system with stage structure", J. Math. Anal. Appl, 274(2), pp.667~684 (2002)
20. X. Lv, "Existence and global attractivity of positive periodic solutions of Lotka-Volterra predator-prey systems with deviating arguments", Nonlinear Anal. Real World Appl, 11(1), pp.574~583 (2010)
21. Z. H. Ma, "Permanence of a predator-prey system with stage structure and time delay", Appl. Math. Comput, 201(1-2), pp.65~71 (2008)
22. F. Montes de Oca, "Extinction in a two dimensional Lotka-Volterra sysstem with infinite delay", Nonlinear Anal. Real World Appl, 7(5), pp.1042~1047 (2006)
23. Y. Muroya, "Permanence and global stability in a Lotka-Volterra predator-prey system with delays", Appl. Math. Lett, 16(8), pp.1245~1250 (2003)
24. R. M. Nisbet, "Applied Mathematical Ecology, Biomathematics", pp.428~449 (1989), Springer
25. X. Y. Song, "Global asymptotic stability of a two species competitive system with stage structure and harvesting", Commun. Nonlinear Sci. Numer. Simul, 6(2), pp.81~87 (2001)
26. Z. D. Teng, "Permanence criteria for general delayed discrete nonautonomous-species Kolmogorov systems and its applications", Comput. Math. Appl, 59(2), pp.812~828 (2010)
27. J. Y.Wang, "A nonautonomous predator-prey system with stage structure and double time delays", J. Comput. Appl. Math, 230(1), pp.283~299 (2009)
28. R. Xu, "Periodic solutions of an n-species Lotka-Volterra type food-chain model with time delays", Appl. Math. Comput, 171(1), pp.511~530 (2005)
29. J. D. Zhao, "Average conditons for permanence and extinction in nonantonomous Lotka-Volterra system", J. Math. Anal. Appl, 299(2), pp.663~675 (2004)