The effect of dispersal on population growth with stage-structure

Computers and Mathematics with Applications

Volumn 39, Issue 1-2, 1999, Pages 91-102

  Cui, Jingan ^a,b   Chen, Lansun ^b   Wang, Wendi ^c  

^a XINJIANG UNIVERSITY   (China)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^c SOUTHWEST UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012099291     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0898-1221(99)00316-8     Document Type: Article

References (22)

1. L.J.S. Allen, Persistence and extinction in single species reaction-dispersal models, Bull. Math. Biol. 45, 209-227 (1983).
2. H.I. Freedman, B. Rai and P. Waltman, Mathematical model of population interactions with dispersal II. Differential survival in a change of habitat, J. Math. Anal. Appl. 115, 140-154 (1986).
3. A. Hastings, Dynamics of a single species in a spatially varying environment: The stabilizing role of high dispersal rates, J. Math. Biology 16, 49-55 (1982).
4. R.D. Holt, Population dynamics in two-patch environments: Some anomalous consequences of an optimal habitat distribution, Theoret. Population Bio. 28, 181-208 (1985).
5. Y. Takeuchi, Cooperative system theory and global stability of dispersal models, Acta Appl. Math. 14, 49-57 (1989).
6. R.R. Vance, The effect of dispersal on population stability in one-species, discrete space population growth models, The American Naturalist 123, 230-254 (1984).
7. J. Cui and L. Chen, The effect of dispersal on the time varying logistic population growth, Computers Math. Applic. 36 (3), 1-9 (1998).
8. R. Mahbuba and L. Chen, On the nonautonomous Lotka-Volterra competition system with dispersal, Differential Equations and Dynmical Systems 2, 243-253 (1994).
9. W. Wang and L. Chen, Global stability of a population dispersal in a two-patch environment, Dynamic Systems and Applications 6, 207-216 (1997).
10. W.G. Aiello and H.I. Freedman, A time-delay model of single-species growth with stage structure, Math. Biosci. 101, 139-153 (1990).
11. W.G. Aiello, H.I. Freedman and J. Wu, Analysis of a model representing stage-structure population growth with state-dependent time delay, SIAM J. Appl. Math. 52, 855-869 (1992).
12. W. Wang and L. Chen, A predator-prey system with stage-structure for predator, Computers Math. Applic. 33 (8), 83-91 (1997).
13. O. Bernard and S. Souissi, Qualitative behavior of stage-structure populations: Application to structural validation, J. Math. Biol. 37, 291-308 (1998).
14. S. Wang, Y. Qu, Z. Jing and Q. Wu, Research on the suitable living environment of the Rana temporaria chensinensis larva, Chinese Journal of Zoology 32 (1), 38-41 (1997).
15. X. Deng and Z. Deng, Progress in the conservation biology of Chinese sturgeon, Zoological Research 18 (1), 113-120 (1997).
16. Y. Zhou, Analysis on decline of wild alligator sinensis population, Sichuan Journal of Zoology 16 (3), 137-139 (1997).
17. X. Li and D. Li, Population viability analysis for the crested Ibis (Nipponia nippon), Chinese Biodiversity 4 (2), 69-77 (1996).
18. M.W. Hirsch, The dynamical systems approach to differential equations, Bull. A.M.S. 11, 1-64 (1984).
19. P. Lancaster and M. Tismenetsky, The Theory of Matrices, Second Edition, Academic Press, (1985).
20. L. Edelstein-keshet, Mathematical Models in Biology, Random House, New York, (1988).
21. H.L. Smith, Cooperative systems of differential equation with concave nonlinearities, Nonlinear Analysis 10, 1037-1052 (1986).
22. M.A. Krasnoselskii, The operator of translation along trajectories of differential equations, Translations of Math. Monographs, Volume 19, Am. Math. Soc., Providence, RI, (1968).