Volume 35, Number 4, July-August 2001
|Page(s)||675 - 690|
|Published online||15 April 2002|
- J.S. Allen, M.P. Moulton and F.L. Rose, Persistence in an age-structure population for a patch-type environment. Nat. Resour. Model. 4 (1990) 197-214.
- J.R. Beddington, C.A. Free and J.H. Lawton, Dynamical complexity in predator-prey models framed in difference equations. Nature 255 (1975) 58-60. [CrossRef]
- J.F. Chen, Influence of high dimension terms for qualitative structure of solutions of a second order linear difference system with ordinary coefficient in the neighborhood of a singular point. Acta Math. Appl. Sinica (China) 11 (1988) 299-311.
- M.E. Clark and L.J. Gross, Periodic solutions to nonautonomous difference equations. Math. Biosci. 102 (1990) 105-119. [CrossRef] [MathSciNet] [PubMed]
- J.M. Cushing, An introduction to structured population dynamics. SIAM Soc. Indus. Appl. Math., Philadelphia (1998).
- H.I. Freedman and J.W.-H. So, Persistence in discrete models of a population which may be subjected to harvesting. Nat. Resour. Model. 2 (1987) 135-145.
- H.I. Freedman and Y. Takeuchi, Global stability and predator dynamics in a model of prey dispersal in a patchy environment. Nonlinear Anal. TMA 13 (1989) 993-1002. [CrossRef]
- H.I. Freedmen and W.H. Josephso, Persistence in discrete semidynamical systems. SIAM J. Math. Anal. 20 (1989) 930-938. [CrossRef] [MathSciNet]
- I. Gumowski and C.Mira, Recurrences and discrete dynamics systems. Lect. Notes Math. 809 (1980) 61-96. [CrossRef]
- A. Hastings, Complex interactions between dispersal and dynamics: Lessons from coupled logistic equations. Ecology 74 (1993) 1362-1372. [CrossRef]
- V. Hutson and K. Schmitt, Permanence and the dynamics of biological systems. Math. Biosci. 111 (1992) 1-71. [CrossRef] [MathSciNet] [PubMed]
- U. Krause and P. Ranet, A limit set trichotomy for monotone nonlinear dynamical systems. Nonlinear Anal. TMA 19 (1992) 375-392. [CrossRef]
- Y. Kuang and Y. Takeuchi, Predator-prey dynamics in models of prey dispersal in two patch environments. Math. Biosci. 120 (1994) 77-98. [CrossRef] [MathSciNet] [PubMed]
- N.R. Leblond, Porcupine caribou herd. Canadian Arctic Resources Comn., Offuwa (1979).
- S.A. Levin, Dispersion and population interactions. Amer. Natur. 108 (1974) 207-228. [CrossRef]
- J. Li, Persistence in discrete age-structure population models. Bull. Math. Biol. 50 (1992) 351-366.
- A. Okubo, Diffusion and ecological problems, math. models. Springer, Berlin (1980).
- K. Schumacher, Regions and oscillations in second order predator-prey recurrences. J. Math. Biol. 16 (1983) 221-231.
- J.F. Selgrade and G. Namkoong, Stable periodic behavior in a pioneer-climax model. Nat. Resour. Model. 4 (1990) 215-227.
- J.G. Skellam, Random dispersal in theoretical populations. Biometrika 38 (1951) 196-218. [CrossRef] [MathSciNet] [PubMed]
- H.L. Smith, Cooperative systems of differential equations with concave nonlinearities. Nonlinear Anal. TMA 10 (1986) 1037-1052. [CrossRef]
- Y. Takeuchi, Cooperative systems theory and global stability of diffusion models. Acta Appl. Math. 14 (1989) 49-57. [CrossRef] [MathSciNet]
- W.D. Wang and L.S. Chen, A predator-prey system with stage-structure for predator. Comput. Math. Appl. 33 (1997) 83-91. [NASA ADS] [CrossRef] [EDP Sciences] [MathSciNet] [PubMed]
- A.-A. Yakubu, Prey dominance in discrete predator-prey system with a prey refuge. Math. Biosci. 144 (1997) 155-178. [CrossRef] [MathSciNet] [PubMed]
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.