Positive periodic solutions of discrete Lotka-Volterra competition systems with state dependent and distributed delays

Applied Mathematics and Computation

Volumn 190, Issue 1, 2007, Pages 526-531

  Li, Yongkun ^a  

^a YUNNAN UNIVERSITY   (China)

Author keywords

Functional difference equation; Lotka Volterra system; Positive periodic solution; Strict set contraction

Indexed keywords

COMPUTATIONAL METHODS; THEOREM PROVING;

FIXED POINT THEOREM; FUNCTIONAL DIFFERENCE EQUATION; LOTKA-VOLTERRA SYSTEM; POSITIVE PERIODIC SOLUTION; STRICT-SET-CONTRACTION;

TIME VARYING SYSTEMS;

EID: 34249826639     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.01.044     Document Type: Article

References (9)

1. Chen L.S. Mathematical Models and Methods in Ecology (1988), Science Press, Beijing (in Chinese)
2. Gaines R.E., and Mawhin J.L. Coincidence Degree and Nonlinear Differential Equations (1977), Springer-Verlag, Berlin
3. Li Y.K. Periodic solutions for delay Lotka-Volterra competition systems. J. Math. Appl. Anal. 246 (2000) 230-244
4. Kuang Y. Delay Differential Equations with Applications in Population Dynamics (1993), Academic Press, New York
5. Li Y.K., and Kuang Y. Periodic solutions in periodic state-dependent delay equations and population models. Proc. Amer. Math. Soc. 130 5 (2002) 1345-1353
6. Agarwal R.P. Difference Equations and Inequalities: Theory Methods and Applications Monographs and Textbooks in Pure and Applied Mathematics 228 (2000), Marcel Dekker, New York
7. Murray J.D. Mathematical Biology (1989), Springer-Verlag, New York
8. Các N.P., and Gatica J.A. Fixed point theorems for mappings in ordered Banach spaces. J. Math. Anal. Appl. 71 (1979) 547-557
9. Guo D. Positive solutions of nonlinear operator equations and its applications to nonlinear integral equations. Adv. Math. 13 (1984) 294-310 (in Chinese)