Global attractivity of positive periodic solution for a Volterra model

Applied Mathematics and Computation

Volumn 203, Issue 2, 2008, Pages 493-501

  Wang, Kai ^a   Zhu, Yanling ^a  

^a ANHUI UNIVERSITY OF FINANCE AND ECONOMICS   (China)

Author keywords

Global attractivity; Holling II type functional response; Lyapunov functional; Mawhin's continuation theorem; Mutual interference; Positive periodic solution

Indexed keywords

GLOBAL ATTRACTIVITY; HOLLING II TYPE FUNCTIONAL RESPONSE; LYAPUNOV FUNCTIONAL; MAWHIN'S CONTINUATION THEOREM; MUTUAL INTERFERENCE; POSITIVE PERIODIC SOLUTION;

TURBULENT FLOW;

EID: 51549105257     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.04.005     Document Type: Article

References (8)

1. Teng Z.D. On the persistence and positive periodic solution for planar competing Lotka-Volterra systems. Ann. Diff. Eqs. 13 3 (1997) 275-286
2. Teng Z.D., and Chen L.S. Necessary and sufficient conditions for existence of positive periodic solutions of periodic predator-prey systems. Acta Math. Sci. 18 4 (1998) 402-406 (in Chinese)
3. Chen C., and Chen F.D. Conditions for global attractivity of multispecise ecological competition-predator system with Holling III type functional response. J. Biomath. 19 2 (2004) 136-140 (in Chinese)
4. Chen F.D. The permanence and global attractivity of Lotka-Volterra competition system with feedback controls. Nonlinear Anal. RWA 7 (2006) 133-143
5. Hassel M.P. Density dependence in single-species population. J. Anim. Ecol. 44 (1975) 283-295
6. Chen L.S. Mathematical Ecology Modelling and Research Methods (1988), Science Press, Beijing (in Chinese)
7. Gaines R.E., and Mawhin J.L. Coincidence Degree and Nonlinear Differential Equations (1977), Springer-Verlag, Berlin
8. Gopalasamy K. Stability and Oscillation in Delay Equation of Population Dynamics (1992), Kluwer Academic Publishers, Dordrecht