Positive periodic solutions of nonautonomous delay competitive systems with weak Allee effect

Nonlinear Analysis: Real World Applications

Volumn 10, Issue 1, 2009, Pages 494-505

  Egami, Chikahiro ^a  

^a NUMAZU COLLEGE OF TECHNOLOGY   (Japan)

Author keywords

Coincidence degree; Global attractivity

Indexed keywords

COMPUTER NETWORKS; LYAPUNOV METHODS;

COINCIDENCE DEGREE; GLOBAL ATTRACTIVITY; POSITIVE PERIODIC SOLUTIONS;

TURBULENT FLOW;

EID: 50349099833     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2007.10.010     Document Type: Article

References (11)

1. Egami C., and Hirano N. Periodic solutions in a class of periodic delay predator-prey systems. Yokohama Math. J. 51 1 (2004) 45-61
2. Fan M., Wang K., and Jiang D. Existence and global attractivity of positive periodic solutions of periodic n-species Lotka-Volterra competition systems with several deviating arguments. Math. Biosci. 160 1 (1999) 47-61
3. Gaines R.E., and Mawhin J.L. Coincidence Degree, and Nonlinear Differential Equations. Lecture Notes in Mathematics vol. 568 (1977), Springer-Verlag, Berlin
4. Gopalsamy K. Stability and Oscillations in Delay Differential Equations of Population Dynamics. Mathematics and its Applications vol. 74 (1992), Kluwer Academic Publishers Group, Dordrecht
5. Hofbauer J., and Sigmund K. The Theory of Evolution and Dynamical Systems. London Mathematical Society Student Texts vol. 7 (1988), Cambridge University Press, Cambridge Mathematical aspects of selection, Translated from the German
6. Kuang Y. Delay Differential Equations with Applications in Population Dynamics. Mathematics in Science and Engineering vol. 191 (1993), Academic Press Inc., Boston, MA
7. Mawhin J.L. Topological degree and boundary value problems for nonlinear differential equations. Topological Methods for Ordinary Differential Equations (Montecatini Terme, 1991). Lecture Notes in Mathematics vol. 1537 (1993), Springer, Berlin 74-142
8. Popov V.-M. Hyperstability of Control Systems (1973), Editura Academiei, Bucharest Translated from the Romanian by Radu Georgescu, Die Grundlehren der mathematischen Wissenschaften, Band 204
9. Shi J., and Shivaji R. Persistence in reaction diffusion models with weak Allee effect. J. Math. Biol. 52 6 (2006) 807-829
10. Thieme H.R. Mathematics in Population Biology. Princeton Series in Theoretical and Computational Biology (2003), Princeton University Press, Princeton, NJ
11. Wang M.-H., and Kot M. Speeds of invasion in a model with strong or weak Allee effects. Math. Biosci. 171 1 (2001) 83-97