Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-28T00:53:09.790Z Has data issue: false hasContentIssue false
  • English
  • Français

Time lags and density dependence in age dependent two species competition

Published online by Cambridge University Press:  17 April 2009

K. Gopalsamy
K. Gopalsamy
Affiliation:
School of Mathematics, Flinders University of South Australia, Bedford Park, South Australia 5042, Australia.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Sufficient conditions are obtained for the existence and linear stability of time independent age distributions in two species competition with age and time lagged density dependent mortality and fertility functions.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 25 , Issue 2 , April 1982 , pp. 271 - 291
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Gopalsamy, K., “Time lags and global stability in two species competition”, Bull. Math. Biol. 42 (1980), 729–737.CrossRefGoogle Scholar
[2]Gopalsamy, K., “Harmless delays in model systems”, submitted.Google Scholar
[3]Gurtin, Morten E. & MacCamy, Richard C., “Non-linear age-dependent population dynamics”, Arch. Rational Mech. Anal. 54 (1974), 281–300.CrossRefGoogle Scholar
[4]Gurtin, Morton E. and MacCamy, Richard C., “Some simple models for nonlinear age-dependent population dynamics”, Math. Biosci. 43 (1979), 199–211.CrossRefGoogle Scholar
[5]Gurtin, M.E. and MacCamy, R.C., “Population dynamics with age dependence”, Nonlinear analysis and mechanics: Heriot-Watt Symposium, Vol. III, 1–35 (Research Notes in Mathematics, 30. Pitman, London, 1979).Google Scholar
[6]Gurtin, Morton E. and Levine, Daniel S., “On predator-prey interactions with predation dependent on age of prey”, Math. Biosci. 47 (1979), 207–219.Google Scholar
[7]Haimovici, Adolf, “On the growth of a population dependent on ages and involving resources and polluation”, Math. Biosci. 43 (1979), 213–237.CrossRefGoogle Scholar
[8]Rotenberg, Manuel, “Equilibrium and stability in populations whose interactions are age-specific”, J. Theoret. Biol. 54 (1975), 207–224.CrossRefGoogle ScholarPubMed