Almost periodic solution of a diffusive mixed system with time delay and type III functional response

Discrete Dynamics in Nature and Society

Volumn 2008, Issue , 2008, Pages

  Liu, Qiong ^a  

^a QINZHOU UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 50849085139     PISSN: 10260226     EISSN: 1607887X     Source Type: Journal    
DOI: 10.1155/2008/706154     Document Type: Article

References (17)

1. S. A. Levin, quot;Dispersion and population interaction," The American Naturalist, vol. 108, no. 960, pp. 207-228, 1974.
2. k. kishimoto, "Coexistence of any number of species in the Lotka-Volterra competitive system over two-patches," Theoretical Population Biology, vol. 38, no. 2, pp. 149-194, 1990.
3. Y. Takeuchi, "Conflict between the need to forage and the need to avoid competition: Persistence of two-species model," Mathematical Biosciences, vol. 99, no. 2, pp. 181-194, 1990.
4. J. M. Cushing, "Periodic time-dependent predator-prey systems," SIAM Journal on Applied Mathematics, vol. 32, no. 1, pp. 82-95, 1977.
5. G. Krukonis andW.M. Schaffer, "Population cycles in mammals and birds: Does periodicity scale with body size?" Journal of Theoretical Biology, vol. 148, no. 4, pp. 469-493, 1991.
6. H.-F. Huo and W.-T. Li, "Permanence and global stability of positive solutions of a nonautonomous discrete ratio-dependent predator-prey model," Discrete Dynamics in Nature and Society, vol. 2005, no. 2, pp. 135-144, 2005.
7. K. Liu and L. Chen, "On a periodic time-dependent model of population dynamics with stage structure and impulsive effects," Discrete Dynamics in Nature and Society, vol. 2008, Article ID 389727, 15 pages, 2008.
8. J. Cui and L. S. Chen, "The effect of diffusion on the time varying logistic population growth," Computers & Mathematics with Applications, vol. 36, no. 3, pp. 1-9, 1998.
9. X. Y. Song and L. S. Chen, "Conditions for global attractivity of n-patches predator-prey dispersiondelay models," Journal of Mathematical Analysis and Applications, vol. 253, no. 1, pp. 1-15, 2001.
10. Z. D. Teng and L. S. Chen, "Positive periodic solutions of periodic Kolmogorov type systems with delays," Acta Mathematicae Applicatae Sinica, vol. 22, no. 3, pp. 446-456, 1999 (Chinese).
11. Z. Ma, G. Cui, and W. Wang, "Persistence and extinction of a population in a polluted environment," Mathematical Biosciences, vol. 101, no. 1, pp. 75--97, 1990.
12. S. Tang and L. S. Chen, "Chaos in functional response host-parasitoid ecosystem models," Chaos, Solitons & Fractals, vol. 13, no. 4, pp. 875-884, 2002.
13. F. Wei and K. Wang, "Uniform persistence of asymptotically periodic multispecies competition predator-prey systems with Holling III type functional response," Applied Mathematics and Computation, vol. 170, no. 2, pp. 994-998, 2005.
14. J. K. Hale, Theory of Functional Differential Equations, vol. 3, Springer, New York, NY, USA, 2nd edition, 1977.
15. Y. Kuang, Delay Differential Equations with Applications in Population Dynamics, vol. 191 of Mathematics in Science and Engineering, Academic Press, Boston, Mass, USA, 1993.
16. R. Yuan, "Existence of almost periodic solution of functional-differential equations," Annals of Differential Equations, vol. 7, no. 2, pp. 234-242, 1991.
17. R. Yuan, "Existence of almost periodic solutions of neutral functional-differential equations via Liapunov-Razumikhin function," Zeitschrift für Angewandte Mathematik und Physik, vol. 49, no. 1, pp. 113-136, 1998.