On a periodic multi-species ecological model

Applied Mathematics and Computation

Volumn 171, Issue 1, 2005, Pages 492-510

  Chen, Fengde ^a  

^a FUZHOU UNIVERSITY   (China)

Author keywords

Globally asymptotic stability; Lyapunov function; Periodic solution; Prey Competition

Indexed keywords

ASYMPTOTIC STABILITY; CONDITION MONITORING; LYAPUNOV METHODS; THEOREM PROVING; TIME VARYING CONTROL SYSTEMS;

BROUWER FIXED POINT THEOREM; GLOBALLY ASYMPTOTIC STABILITY; MULTI-SPECIES; PREY-COMPETITION;

ECOLOGY;

EID: 28444438091     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.01.066     Document Type: Article

References (20)

1. K. Gopalsamy Global asymptotic stability in a periodic Lotka-Volterra system J. Austral. Math. Soc. Ser. B 27 1985 66 72
2. X.Q. Zhao The qualitative analysis of n-species Lotka-Volterra periodic competition systems Math. comput. Modell. 15 11 1991 3 8
3. A. Tineo, and C. Alvarz A different consideration about the globally asymptotically stable solution of the periodic n-competing species problem J. Math. Anal. Appl. 159 1991 44 55
4. K. Gopalsamy Exchange of equilibria in two Lotka-Volterra competition models J. Aust. Math. Soc. Ser. B 24 1982 160 170
5. J. Chattopadhyay Effect of toxic substance on a two-species competitive system Ecol. Model 84 1996 287 289
6. J. Cui, and L. Chen Asymptotic behavior of the solution for a class of time-dependent competitive system with feedback controls Ann. Diff. Eqs. 9 1 1993 11 17
7. J. Maynard-Smith Models in Ecology 1974 Cambridge University Cambridge
8. X.Y. Song, and L.S. Chen Periodic solutions of a delay differential equation of plankton allelopathy Acta Mathematica Scientia 23 A 2003 8 13 (in Chinese)
9. Z. Jin, and Z.E. Ma Periodic solutions for delay differential equations model of plankton allelopathy Comput. Math. Appl.s 44 2002 491 500
10. A.A Berryman The origins and evolution of predator-prey theory Ecology 75 1992 1530 1535
11. P. Yang, and R. Xu Global attractivity of the periodic Lotka-Volterra system J. Math. Anal. Appl. 233 1 1999 221 232
12. J.D. Zhao, and W.C. Chen Global asymptotic stability of a periodic ecological model Appl. Math. Comp. 147 3 2004 881 892
13. Y. Xia, F. Chen, J. Cao, and A. Chen Existence and global attractivity of an almost periodic ecological model Appl. Math. Comput. 157 2004 449 475
14. F.J. Ayala, M.E. Gilpin, and J.G. Eherenfeld Competition between species: Theoretical models and experimental tests Theor. Population Biol. 4 1973 331 356
15. M.E. Gilpin, and F.J. Ayala Global models of growth and competition Proc. Nat. Acad. Sci. USA 70 1973 3590 3593
16. M. Fan, and K. Wang Global periodic solutions of a generalized n-species Gilpin-Ayala competition model Comp. Math. Appl. 40 2000 1141 1151
17. M.E. Gilpin, and F.J. Ayala Schoener's model and Drosophila competition Theor. Population Biol. 9 1976 12 14
18. C.R. Li, and S.J. Lu The qualitative analysis of N-species periodic coefficient, nonliear relation, prey-competition systems Appl. Math-JCU 12 2 1997 147 156 (in Chinese)
19. F.D. Chen, and S.J. Lin Periodicity in a Logistic type system with several delays Comp. Math. Appl. 48 1-2 2004 35 44
20. F.D. Chen Periodicity in a food-limited population model with toxicants and state dependent delays J. Math. Anal. Appl. 288 1 2003 132 142