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Approach to equilibrium in age structured populations with an increasing recruitment process

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Abstract

This paper considers a model for the dynamics of an age structured population subject to a density dependent factor which regulates the recruitment. Certain properties of biological interest are obtained and the stability of the equilibrium age distributions is investigated. Finally some applications to known fishery models are considered.

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References

  1. Beverton, R. J. H., Holt, S. J.: On the dynamics of exploited fish populations. Fisheries investigation series II, Vol. 19, Ministry of agriculture. London: Fisheries and Food 1957

    Google Scholar 

  2. Chapman, P. G.: Spawner-recruit models and estimation of the level of maximum sustainable catch. Rapp. Proc.-Verb. Cons. Int. Explor. Mer 164, 325–332 (1973)

    Google Scholar 

  3. Clark, C. W.: Mathematical bioeconomics: The optimal management of renewable resources. New York: Wiley-Interscience 1976

    Google Scholar 

  4. Getz, W.: The ultimate-sustainable-yield problem in nonlinear age-structured populations. Math. Biosc. 48, 279–292 (1980)

    Google Scholar 

  5. Hoppensteadt, F.: Mathematical theories of populations: Demographics, genetics, and epidemics. SIAM, Philadelphia 1975

    Google Scholar 

  6. Hoppensteadt, F.: Mathematical methods of population biology. Courant Institute of Mathematical Sciences, New York University, 1976

  7. Lamberti, L., Vernole, P.: Existence and asymptotic behaviour of solutions of an age structured population model. Boll. U.M.I. (to appear)

  8. Levin, S. A., Goodyear, C. P.: Analysis of an age-structured fishery model. J. Math. Biol. 9, 245–274 (1980)

    Google Scholar 

  9. May, R. M., Beddington, J. R., Horwood, J. W., Sheperd, J. G.: Exploiting natural populations in an uncertain world. Math. Biosc. 42, 219–252 (1978)

    Google Scholar 

  10. Rorres, C.: Stability of an age specific population with density dependent fertility. Theoret. Population Biology 10, 26–46 (1976)

    Google Scholar 

  11. Rorres, C.: Local stability of a population with density-dependent fertility. Theoret. Population Biology 16, 283–300 (1979)

    Google Scholar 

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Work done under the contract 80.02333.01 of C.N.R.

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Di Blasio, G., Iannelli, M. & Sinestrari, E. Approach to equilibrium in age structured populations with an increasing recruitment process. J. Math. Biology 13, 371–382 (1982). https://doi.org/10.1007/BF00276070

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  • DOI: https://doi.org/10.1007/BF00276070

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