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Stability of nonlinear discrete systems with applications to population dynamics

Published online by Cambridge University Press:  17 April 2009

Pingzhou Liu
Affiliation:
Department of Maths and Statistics, The Flinders University of South Australia, GPO Box 2100, Adelaide SA 5001, Australia
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Abstract

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Type
Abstracts of Australasian Ph.D. Theses
Copyright
Copyright © Australian Mathematical Society 1998

References

[1]Freedman, H.I., Deterministic mathematical models in population ecology (Marcel Dekker Inc., New York, 1980).Google Scholar
[2]Gopalsamy, K., Stability and oscillations in delay differential equations of population dynamics (Kluwmer Academic, Dordrecht, The Netherlands, 1992).Google Scholar
[3]Gopalsamy, K. and Liu, P., ‘On a discrete model of mutualism’, Proceeding of 3rd ICDEA, Academia Sinica, Taipei (to appear).Google Scholar
[4]Gopalsamy, K. and Liu, P., ‘Dynamics of Social populations, Nonlinear Analysis, Theory, Methods and Applications’, Proceeding of the Second World Congress of Nonlinear Analysis, Athens, Greece 30 (1996), 25952604.Google Scholar
[5]Gopalsamy, K. and Liu, P., ‘Persistence and global stability in a population model’, J. Math. Anal. Appl. (in press).Google Scholar
[6]Gopalsamy, K. and Liu, P., ‘Dynamics of a logistic map with eventually fading memory’, Dynamic Systems Appl. 6 (1997), 110.Google Scholar
[7]Kuang, Y., Delay differential equations with applications in population dynamics (Academic press, New York, 1993).Google Scholar
[8]Liu, P. and Gopalsamy, K., ‘Dynamics of a hyperbolic logistic map with fading memory’, Dynam. Contin. Discrete. Impuls. Systems 1 (1995), 5367.Google Scholar
[9]Liu, P. and Gopalsamy, K., ‘On a population model which satisfies Allee's principle’, Proceedings of The International Conference On Mathematical Biology, Hangzhou, China (1997).Google Scholar
[10]Liu, P. and Gopalsamy, K., ‘On a model of competition in periodic environments’, Appl. Math. Comput. 82 (1997), 207238.Google Scholar
[11]Liu, P. and Gopalsamy, K., ‘Global stability and chaos in a population model with piecewise constant arguments’, Appl. Math. Comput. (to appear).Google Scholar